id	sid	tid	token	lemma	pos
cana-6155	1	1	communications	communication	NOUN
cana-6155	1	2	on	on	ADP
cana-6155	1	3	applied	apply	VERB
cana-6155	1	4	nonlinear	nonlinear	ADJ
cana-6155	1	5	analysis	analysis	NOUN
cana-6155	1	6	issn	issn	NOUN
cana-6155	1	7	:	:	PUNCT
cana-6155	1	8	1074	1074	NUM
cana-6155	1	9	-	-	PUNCT
cana-6155	1	10	133x	133x	NUM
cana-6155	1	11	vol	vol	NOUN
cana-6155	1	12	31	31	NUM
cana-6155	1	13	no	no	NOUN
cana-6155	1	14	.	.	PUNCT
cana-6155	2	1	8s	8s	PROPN
cana-6155	2	2	(	(	PUNCT
cana-6155	2	3	2024	2024	NUM
cana-6155	2	4	)	)	PUNCT
cana-6155	2	5	1212	1212	NUM
cana-6155	2	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-6155	2	7	two	two	NUM
cana-6155	2	8	fluid	fluid	NOUN
cana-6155	2	9	interacting	interact	VERB
cana-6155	2	10	and	and	CCONJ
cana-6155	2	11	non	non	ADJ
cana-6155	2	12	-	-	ADJ
cana-6155	2	13	interacting	interacting	ADJ
cana-6155	2	14	scenarios	scenario	NOUN
cana-6155	2	15	for	for	ADP
cana-6155	2	16	kaluzaklein	kaluzaklein	PROPN
cana-6155	2	17	dark	dark	PROPN
cana-6155	2	18	energy	energy	PROPN
cana-6155	2	19	cosmological	cosmological	ADJ
cana-6155	2	20	model	model	NOUN
cana-6155	2	21	in	in	ADP
cana-6155	2	22	lyra	lyra	PROPN
cana-6155	2	23	geometry	geometry	PROPN
cana-6155	2	24	parimal	parimal	PROPN
cana-6155	2	25	gaidhane1	gaidhane1	PROPN
cana-6155	2	26	,	,	PUNCT
cana-6155	2	27	a.	a.	NOUN
cana-6155	2	28	m.	m.	NOUN
cana-6155	2	29	pund2	pund2	PROPN
cana-6155	2	30	1(research	1(research	PROPN
cana-6155	2	31	scholar	scholar	NOUN
cana-6155	2	32	,	,	PUNCT
cana-6155	2	33	department	department	NOUN
cana-6155	2	34	of	of	ADP
cana-6155	2	35	mathematics	mathematics	PROPN
cana-6155	2	36	,	,	PUNCT
cana-6155	2	37	s.	s.	PROPN
cana-6155	2	38	s.	s.	PROPN
cana-6155	2	39	e.	e.	PROPN
cana-6155	2	40	s.	s.	PROPN
cana-6155	2	41	amravati	amravati	PROPN
cana-6155	2	42	’s	’s	PART
cana-6155	2	43	science	science	PROPN
cana-6155	2	44	college	college	PROPN
cana-6155	2	45	,	,	PUNCT
cana-6155	2	46	congress	congress	PROPN
cana-6155	2	47	nagar	nagar	PROPN
cana-6155	2	48	,	,	PUNCT
cana-6155	2	49	nagpur	nagpur	PROPN
cana-6155	2	50	,	,	PUNCT
cana-6155	2	51	india440012	india440012	PROPN
cana-6155	2	52	,	,	PUNCT
cana-6155	2	53	parimalgaidhane95@gmail.com	parimalgaidhane95@gmail.com	PROPN
cana-6155	2	54	)	)	PUNCT
cana-6155	2	55	2(associate	2(associate	NUM
cana-6155	2	56	professor	professor	NOUN
cana-6155	2	57	,	,	PUNCT
cana-6155	2	58	department	department	NOUN
cana-6155	2	59	of	of	ADP
cana-6155	2	60	mathematics	mathematics	PROPN
cana-6155	2	61	,	,	PUNCT
cana-6155	2	62	s.	s.	PROPN
cana-6155	2	63	s.	s.	PROPN
cana-6155	2	64	e.	e.	PROPN
cana-6155	2	65	s.	s.	PROPN
cana-6155	2	66	amravati	amravati	PROPN
cana-6155	2	67	’s	’s	PART
cana-6155	2	68	science	science	PROPN
cana-6155	2	69	college	college	PROPN
cana-6155	2	70	,	,	PUNCT
cana-6155	2	71	congress	congress	PROPN
cana-6155	2	72	nagar	nagar	PROPN
cana-6155	2	73	,	,	PUNCT
cana-6155	2	74	nagpur	nagpur	PROPN
cana-6155	2	75	,	,	PUNCT
cana-6155	2	76	india440012	india440012	PROPN
cana-6155	2	77	,	,	PUNCT
cana-6155	2	78	ashokpund64@rediffmail.com	ashokpund64@rediffmail.com	X
cana-6155	2	79	)	)	PUNCT
cana-6155	2	80	article	article	NOUN
cana-6155	2	81	history	history	NOUN
cana-6155	2	82	:	:	PUNCT
cana-6155	2	83	received	receive	VERB
cana-6155	2	84	:	:	PUNCT
cana-6155	2	85	10	10	NUM
cana-6155	2	86	-	-	SYM
cana-6155	2	87	10	10	NUM
cana-6155	2	88	-	-	PUNCT
cana-6155	2	89	2024	2024	NUM
cana-6155	2	90	revised	revise	VERB
cana-6155	2	91	:	:	PUNCT
cana-6155	2	92	20	20	NUM
cana-6155	2	93	-	-	SYM
cana-6155	2	94	11	11	NUM
cana-6155	2	95	-	-	PUNCT
cana-6155	2	96	2024	2024	NUM
cana-6155	2	97	accepted	accept	VERB
cana-6155	2	98	:	:	PUNCT
cana-6155	2	99	29	29	NUM
cana-6155	2	100	-	-	SYM
cana-6155	2	101	11	11	NUM
cana-6155	2	102	-	-	PUNCT
cana-6155	2	103	2024	2024	NUM
cana-6155	2	104	abstract	abstract	NOUN
cana-6155	2	105	:	:	PUNCT
cana-6155	2	106	in	in	ADP
cana-6155	2	107	this	this	DET
cana-6155	2	108	paper	paper	NOUN
cana-6155	2	109	,	,	PUNCT
cana-6155	2	110	we	we	PRON
cana-6155	2	111	studied	study	VERB
cana-6155	2	112	the	the	DET
cana-6155	2	113	evaluation	evaluation	NOUN
cana-6155	2	114	of	of	ADP
cana-6155	2	115	dark	dark	ADJ
cana-6155	2	116	energy	energy	NOUN
cana-6155	2	117	parameter	parameter	NOUN
cana-6155	2	118	in	in	ADP
cana-6155	2	119	the	the	DET
cana-6155	2	120	spatial	spatial	ADJ
cana-6155	2	121	homogeneous	homogeneous	ADJ
cana-6155	2	122	and	and	CCONJ
cana-6155	2	123	anisotropic	anisotropic	NOUN
cana-6155	2	124	five	five	NUM
cana-6155	2	125	dimensional	dimensional	ADJ
cana-6155	2	126	kaluza	kaluza	PROPN
cana-6155	2	127	-	-	PUNCT
cana-6155	2	128	klein	klein	PROPN
cana-6155	2	129	space	space	NOUN
cana-6155	2	130	time	time	NOUN
cana-6155	2	131	filled	fill	VERB
cana-6155	2	132	with	with	ADP
cana-6155	2	133	barotropic	barotropic	ADJ
cana-6155	2	134	fluid	fluid	NOUN
cana-6155	2	135	and	and	CCONJ
cana-6155	2	136	dark	dark	ADJ
cana-6155	2	137	energy	energy	NOUN
cana-6155	2	138	within	within	ADP
cana-6155	2	139	the	the	DET
cana-6155	2	140	framework	framework	NOUN
cana-6155	2	141	of	of	ADP
cana-6155	2	142	lyra	lyra	PROPN
cana-6155	2	143	geometry	geometry	PROPN
cana-6155	2	144	.	.	PUNCT
cana-6155	3	1	to	to	PART
cana-6155	3	2	solve	solve	VERB
cana-6155	3	3	the	the	DET
cana-6155	3	4	einstein	einstein	ADJ
cana-6155	3	5	field	field	NOUN
cana-6155	3	6	equation	equation	NOUN
cana-6155	3	7	by	by	ADP
cana-6155	3	8	considering	consider	VERB
cana-6155	3	9	the	the	DET
cana-6155	3	10	shear	shear	NOUN
cana-6155	3	11	scalar	scalar	ADJ
cana-6155	3	12	(	(	PUNCT
cana-6155	3	13	σ	σ	NOUN
cana-6155	3	14	)	)	PUNCT
cana-6155	3	15	in	in	ADP
cana-6155	3	16	these	these	DET
cana-6155	3	17	models	model	NOUN
cana-6155	3	18	is	be	AUX
cana-6155	3	19	proportional	proportional	ADJ
cana-6155	3	20	to	to	ADP
cana-6155	3	21	expansion	expansion	NOUN
cana-6155	3	22	scalar	scalar	NOUN
cana-6155	3	23	(	(	PUNCT
cana-6155	3	24	θ	θ	NOUN
cana-6155	3	25	)	)	PUNCT
cana-6155	3	26	.	.	PUNCT
cana-6155	4	1	here	here	ADV
cana-6155	4	2	we	we	PRON
cana-6155	4	3	consider	consider	VERB
cana-6155	4	4	two	two	NUM
cana-6155	4	5	cases	case	NOUN
cana-6155	4	6	;	;	PUNCT
cana-6155	4	7	(	(	PUNCT
cana-6155	4	8	a	a	X
cana-6155	4	9	)	)	PUNCT
cana-6155	4	10	when	when	SCONJ
cana-6155	4	11	these	these	DET
cana-6155	4	12	fluids	fluid	NOUN
cana-6155	4	13	are	be	AUX
cana-6155	4	14	not	not	PART
cana-6155	4	15	interacting	interact	VERB
cana-6155	4	16	with	with	ADP
cana-6155	4	17	each	each	DET
cana-6155	4	18	other	other	ADJ
cana-6155	4	19	and	and	CCONJ
cana-6155	4	20	,	,	PUNCT
cana-6155	4	21	(	(	PUNCT
cana-6155	4	22	b	b	NOUN
cana-6155	4	23	)	)	PUNCT
cana-6155	4	24	when	when	SCONJ
cana-6155	4	25	these	these	DET
cana-6155	4	26	fluids	fluid	NOUN
cana-6155	4	27	interact	interact	VERB
cana-6155	4	28	with	with	ADP
cana-6155	4	29	each	each	DET
cana-6155	4	30	other	other	ADJ
cana-6155	4	31	.	.	PUNCT
cana-6155	5	1	we	we	PRON
cana-6155	5	2	examined	examine	VERB
cana-6155	5	3	the	the	DET
cana-6155	5	4	physical	physical	ADJ
cana-6155	5	5	and	and	CCONJ
cana-6155	5	6	geometric	geometric	ADJ
cana-6155	5	7	properties	property	NOUN
cana-6155	5	8	and	and	CCONJ
cana-6155	5	9	analysed	analyse	VERB
cana-6155	5	10	their	their	PRON
cana-6155	5	11	graphical	graphical	ADJ
cana-6155	5	12	characteristics	characteristic	NOUN
cana-6155	5	13	.	.	PUNCT
cana-6155	6	1	in	in	ADP
cana-6155	6	2	addition	addition	NOUN
cana-6155	6	3	,	,	PUNCT
cana-6155	6	4	we	we	PRON
cana-6155	6	5	investigated	investigate	VERB
cana-6155	6	6	several	several	ADJ
cana-6155	6	7	cosmological	cosmological	ADJ
cana-6155	6	8	parameters	parameter	NOUN
cana-6155	6	9	,	,	PUNCT
cana-6155	6	10	look	look	VERB
cana-6155	6	11	-	-	PUNCT
cana-6155	6	12	back	back	NOUN
cana-6155	6	13	time	time	NOUN
cana-6155	6	14	,	,	PUNCT
cana-6155	6	15	proper	proper	ADJ
cana-6155	6	16	distance	distance	NOUN
cana-6155	6	17	,	,	PUNCT
cana-6155	6	18	luminosity	luminosity	NOUN
cana-6155	6	19	distance	distance	NOUN
cana-6155	6	20	,	,	PUNCT
cana-6155	6	21	angular	angular	ADJ
cana-6155	6	22	diameter	diameter	NOUN
cana-6155	6	23	distance	distance	NOUN
cana-6155	6	24	and	and	CCONJ
cana-6155	6	25	distance	distance	NOUN
cana-6155	6	26	modulus	modulus	NOUN
cana-6155	6	27	.	.	PUNCT
cana-6155	7	1	keywords	keyword	NOUN
cana-6155	7	2	:	:	PUNCT
cana-6155	7	3	dark	dark	ADJ
cana-6155	7	4	energy	energy	NOUN
cana-6155	7	5	,	,	PUNCT
cana-6155	7	6	barotropic	barotropic	ADJ
cana-6155	7	7	fluid	fluid	NOUN
cana-6155	7	8	,	,	PUNCT
cana-6155	7	9	five	five	NUM
cana-6155	7	10	-	-	PUNCT
cana-6155	7	11	dimensional	dimensional	ADJ
cana-6155	7	12	kaluza	kaluza	PROPN
cana-6155	7	13	-	-	PUNCT
cana-6155	7	14	klein	klein	PROPN
cana-6155	7	15	spacetime	spacetime	PROPN
cana-6155	7	16	,	,	PUNCT
cana-6155	7	17	lyra	lyra	PROPN
cana-6155	7	18	geometry	geometry	PROPN
cana-6155	7	19	1	1	NUM
cana-6155	7	20	.	.	PUNCT
cana-6155	8	1	introduction	introduction	NOUN
cana-6155	8	2	dark	dark	ADJ
cana-6155	8	3	energy	energy	NOUN
cana-6155	8	4	is	be	AUX
cana-6155	8	5	a	a	DET
cana-6155	8	6	critical	critical	ADJ
cana-6155	8	7	factor	factor	NOUN
cana-6155	8	8	in	in	ADP
cana-6155	8	9	understanding	understand	VERB
cana-6155	8	10	cosmological	cosmological	ADJ
cana-6155	8	11	phenomena	phenomenon	NOUN
cana-6155	8	12	.	.	PUNCT
cana-6155	9	1	recent	recent	ADJ
cana-6155	9	2	astronomical	astronomical	ADJ
cana-6155	9	3	observations	observation	NOUN
cana-6155	9	4	[	[	X
cana-6155	9	5	1	1	NUM
cana-6155	9	6	-	-	SYM
cana-6155	9	7	4	4	NUM
cana-6155	9	8	]	]	PUNCT
cana-6155	9	9	reveal	reveal	VERB
cana-6155	9	10	that	that	SCONJ
cana-6155	9	11	the	the	DET
cana-6155	9	12	observable	observable	ADJ
cana-6155	9	13	universe	universe	NOUN
cana-6155	9	14	is	be	AUX
cana-6155	9	15	currently	currently	ADV
cana-6155	9	16	undergoing	undergo	VERB
cana-6155	9	17	accelerated	accelerated	ADJ
cana-6155	9	18	expansion	expansion	NOUN
cana-6155	9	19	.	.	PUNCT
cana-6155	10	1	this	this	DET
cana-6155	10	2	acceleration	acceleration	NOUN
cana-6155	10	3	is	be	AUX
cana-6155	10	4	widely	widely	ADV
cana-6155	10	5	attributed	attribute	VERB
cana-6155	10	6	to	to	ADP
cana-6155	10	7	the	the	DET
cana-6155	10	8	influence	influence	NOUN
cana-6155	10	9	of	of	ADP
cana-6155	10	10	dark	dark	ADJ
cana-6155	10	11	energy	energy	NOUN
cana-6155	10	12	,	,	PUNCT
cana-6155	10	13	whose	whose	DET
cana-6155	10	14	fundamental	fundamental	ADJ
cana-6155	10	15	nature	nature	NOUN
cana-6155	10	16	remains	remain	VERB
cana-6155	10	17	one	one	NUM
cana-6155	10	18	of	of	ADP
cana-6155	10	19	the	the	DET
cana-6155	10	20	central	central	ADJ
cana-6155	10	21	enigmas	enigma	NOUN
cana-6155	10	22	in	in	ADP
cana-6155	10	23	modern	modern	ADJ
cana-6155	10	24	cosmology	cosmology	NOUN
cana-6155	10	25	.	.	PUNCT
cana-6155	11	1	according	accord	VERB
cana-6155	11	2	to	to	ADP
cana-6155	11	3	estimates	estimate	NOUN
cana-6155	11	4	from	from	ADP
cana-6155	11	5	the	the	DET
cana-6155	11	6	wilkinson	wilkinson	PROPN
cana-6155	11	7	microwave	microwave	PROPN
cana-6155	11	8	anisotropy	anisotropy	NOUN
cana-6155	11	9	probe	probe	NOUN
cana-6155	11	10	(	(	PUNCT
cana-6155	11	11	wmap	wmap	NOUN
cana-6155	11	12	)	)	PUNCT
cana-6155	11	13	,	,	PUNCT
cana-6155	11	14	the	the	DET
cana-6155	11	15	composition	composition	NOUN
cana-6155	11	16	of	of	ADP
cana-6155	11	17	the	the	DET
cana-6155	11	18	universe	universe	NOUN
cana-6155	11	19	comprises	comprise	VERB
cana-6155	11	20	approximately	approximately	ADV
cana-6155	11	21	73	73	NUM
cana-6155	11	22	%	%	NOUN
cana-6155	11	23	dark	dark	ADJ
cana-6155	11	24	energy	energy	NOUN
cana-6155	11	25	,	,	PUNCT
cana-6155	11	26	23	23	NUM
cana-6155	11	27	%	%	NOUN
cana-6155	11	28	dark	dark	ADJ
cana-6155	11	29	matter	matter	NOUN
cana-6155	11	30	,	,	PUNCT
cana-6155	11	31	and	and	CCONJ
cana-6155	11	32	4	4	NUM
cana-6155	11	33	%	%	NOUN
cana-6155	11	34	ordinary	ordinary	ADJ
cana-6155	11	35	matter	matter	NOUN
cana-6155	11	36	.	.	PUNCT
cana-6155	12	1	various	various	ADJ
cana-6155	12	2	cosmological	cosmological	ADJ
cana-6155	12	3	models	model	NOUN
cana-6155	12	4	,	,	PUNCT
cana-6155	12	5	such	such	ADJ
cana-6155	12	6	as	as	ADP
cana-6155	12	7	the	the	DET
cana-6155	12	8	cosmological	cosmological	ADJ
cana-6155	12	9	constant	constant	ADJ
cana-6155	12	10	[	[	X
cana-6155	12	11	5	5	NUM
cana-6155	12	12	]	]	PUNCT
cana-6155	12	13	,	,	PUNCT
cana-6155	12	14	quintessence	quintessence	NOUN
cana-6155	12	15	[	[	X
cana-6155	12	16	6	6	NUM
cana-6155	12	17	]	]	PUNCT
cana-6155	12	18	,	,	PUNCT
cana-6155	12	19	equation	equation	NOUN
cana-6155	12	20	of	of	ADP
cana-6155	12	21	state	state	NOUN
cana-6155	12	22	parameterizations	parameterization	NOUN
cana-6155	12	23	[	[	X
cana-6155	12	24	7	7	NUM
cana-6155	12	25	-	-	SYM
cana-6155	12	26	11	11	NUM
cana-6155	12	27	]	]	PUNCT
cana-6155	12	28	,	,	PUNCT
cana-6155	12	29	and	and	CCONJ
cana-6155	12	30	interactive	interactive	ADJ
cana-6155	12	31	dark	dark	ADJ
cana-6155	12	32	energy	energy	NOUN
cana-6155	12	33	models	model	NOUN
cana-6155	12	34	[	[	X
cana-6155	12	35	12	12	NUM
cana-6155	12	36	-	-	SYM
cana-6155	12	37	18	18	NUM
cana-6155	12	38	]	]	PUNCT
cana-6155	12	39	,	,	PUNCT
cana-6155	12	40	have	have	AUX
cana-6155	12	41	been	be	AUX
cana-6155	12	42	proposed	propose	VERB
cana-6155	12	43	to	to	PART
cana-6155	12	44	explore	explore	VERB
cana-6155	12	45	the	the	DET
cana-6155	12	46	properties	property	NOUN
cana-6155	12	47	of	of	ADP
cana-6155	12	48	dark	dark	ADJ
cana-6155	12	49	energy	energy	NOUN
cana-6155	12	50	and	and	CCONJ
cana-6155	12	51	its	its	PRON
cana-6155	12	52	role	role	NOUN
cana-6155	12	53	in	in	ADP
cana-6155	12	54	driving	drive	VERB
cana-6155	12	55	the	the	DET
cana-6155	12	56	universe	universe	NOUN
cana-6155	12	57	's	's	PART
cana-6155	12	58	accelerating	accelerate	VERB
cana-6155	12	59	expansion	expansion	NOUN
cana-6155	12	60	.	.	PUNCT
cana-6155	13	1	einstein	einstein	PROPN
cana-6155	13	2	formulated	formulate	VERB
cana-6155	13	3	the	the	DET
cana-6155	13	4	field	field	NOUN
cana-6155	13	5	equations	equation	NOUN
cana-6155	13	6	of	of	ADP
cana-6155	13	7	general	general	ADJ
cana-6155	13	8	relativity	relativity	NOUN
cana-6155	13	9	using	use	VERB
cana-6155	13	10	the	the	DET
cana-6155	13	11	principles	principle	NOUN
cana-6155	13	12	of	of	ADP
cana-6155	13	13	gravitational	gravitational	ADJ
cana-6155	13	14	geometry	geometry	NOUN
cana-6155	13	15	.	.	PUNCT
cana-6155	14	1	building	build	VERB
cana-6155	14	2	on	on	ADP
cana-6155	14	3	these	these	DET
cana-6155	14	4	ideas	idea	NOUN
cana-6155	14	5	,	,	PUNCT
cana-6155	14	6	weyl	weyl	VERB
cana-6155	14	7	[	[	X
cana-6155	14	8	19	19	NUM
cana-6155	14	9	]	]	PUNCT
cana-6155	14	10	proposed	propose	VERB
cana-6155	14	11	a	a	DET
cana-6155	14	12	geometric	geometric	ADJ
cana-6155	14	13	framework	framework	NOUN
cana-6155	14	14	integrating	integrate	VERB
cana-6155	14	15	gravity	gravity	NOUN
cana-6155	14	16	and	and	CCONJ
cana-6155	14	17	electromagnetism	electromagnetism	NOUN
cana-6155	14	18	.	.	PUNCT
cana-6155	15	1	however	however	ADV
cana-6155	15	2	,	,	PUNCT
cana-6155	15	3	weyl	weyl	PROPN
cana-6155	15	4	's	's	PART
cana-6155	15	5	theory	theory	NOUN
cana-6155	15	6	was	be	AUX
cana-6155	15	7	ultimately	ultimately	ADV
cana-6155	15	8	dismissed	dismiss	VERB
cana-6155	15	9	due	due	ADP
cana-6155	15	10	to	to	ADP
cana-6155	15	11	the	the	DET
cana-6155	15	12	inability	inability	NOUN
cana-6155	15	13	to	to	PART
cana-6155	15	14	integrate	integrate	VERB
cana-6155	15	15	vector	vector	NOUN
cana-6155	15	16	lengths	length	NOUN
cana-6155	15	17	under	under	ADP
cana-6155	15	18	parallel	parallel	ADJ
cana-6155	15	19	displacement	displacement	NOUN
cana-6155	15	20	.	.	PUNCT
cana-6155	16	1	in	in	ADP
cana-6155	16	2	response	response	NOUN
cana-6155	16	3	,	,	PUNCT
cana-6155	16	4	lyra	lyra	PROPN
cana-6155	16	5	introduced	introduce	VERB
cana-6155	16	6	a	a	DET
cana-6155	16	7	modification	modification	NOUN
cana-6155	16	8	to	to	ADP
cana-6155	16	9	riemannian	riemannian	ADJ
cana-6155	16	10	geometry	geometry	NOUN
cana-6155	16	11	that	that	PRON
cana-6155	16	12	incorporates	incorporate	VERB
cana-6155	16	13	gauge	gauge	NOUN
cana-6155	16	14	functions	function	NOUN
cana-6155	16	15	in	in	ADP
cana-6155	16	16	manifolds	manifold	NOUN
cana-6155	16	17	,	,	PUNCT
cana-6155	16	18	offering	offer	VERB
cana-6155	16	19	an	an	DET
cana-6155	16	20	alternative	alternative	NOUN
cana-6155	16	21	that	that	PRON
cana-6155	16	22	diverges	diverge	VERB
cana-6155	16	23	from	from	ADP
cana-6155	16	24	the	the	DET
cana-6155	16	25	structure	structure	NOUN
cana-6155	16	26	of	of	ADP
cana-6155	16	27	weyl	weyl	VERB
cana-6155	16	28	geometry	geometry	NOUN
cana-6155	16	29	.	.	PUNCT
cana-6155	17	1	this	this	DET
cana-6155	17	2	development	development	NOUN
cana-6155	17	3	spurred	spur	VERB
cana-6155	17	4	further	further	ADJ
cana-6155	17	5	research	research	NOUN
cana-6155	17	6	into	into	ADP
cana-6155	17	7	scalar	scalar	ADJ
cana-6155	17	8	-	-	PUNCT
cana-6155	17	9	tensor	tensor	NOUN
cana-6155	17	10	theories	theory	NOUN
cana-6155	17	11	and	and	CCONJ
cana-6155	17	12	cosmology	cosmology	NOUN
cana-6155	17	13	within	within	ADP
cana-6155	17	14	the	the	DET
cana-6155	17	15	context	context	NOUN
cana-6155	17	16	of	of	ADP
cana-6155	17	17	lyra	lyra	PROPN
cana-6155	17	18	geometry	geometry	PROPN
cana-6155	17	19	.	.	PUNCT
cana-6155	18	1	sen	sen	PROPN
cana-6155	19	1	[	[	X
cana-6155	19	2	20	20	NUM
cana-6155	19	3	]	]	PUNCT
cana-6155	19	4	and	and	CCONJ
cana-6155	19	5	sen	sen	PROPN
cana-6155	19	6	and	and	CCONJ
cana-6155	19	7	dunn	dunn	PROPN
cana-6155	20	1	[	[	X
cana-6155	20	2	21	21	NUM
cana-6155	20	3	]	]	PUNCT
cana-6155	20	4	extended	extend	VERB
cana-6155	20	5	this	this	DET
cana-6155	20	6	work	work	NOUN
cana-6155	20	7	,	,	PUNCT
cana-6155	20	8	formulating	formulate	VERB
cana-6155	20	9	a	a	DET
cana-6155	20	10	novel	novel	ADJ
cana-6155	20	11	scalartensor	scalartensor	NOUN
cana-6155	20	12	theory	theory	NOUN
cana-6155	20	13	of	of	ADP
cana-6155	20	14	gravity	gravity	NOUN
cana-6155	20	15	and	and	CCONJ
cana-6155	20	16	deriving	derive	VERB
cana-6155	20	17	an	an	DET
cana-6155	20	18	analogue	analogue	NOUN
cana-6155	20	19	of	of	ADP
cana-6155	20	20	einstein	einstein	PROPN
cana-6155	20	21	’s	’s	PART
cana-6155	20	22	field	field	NOUN
cana-6155	20	23	equations	equation	NOUN
cana-6155	20	24	based	base	VERB
cana-6155	20	25	on	on	ADP
cana-6155	20	26	lyra	lyra	PROPN
cana-6155	20	27	geometry	geometry	PROPN
cana-6155	20	28	.	.	PUNCT
cana-6155	21	1	halford	halford	PROPN
cana-6155	22	1	[	[	X
cana-6155	22	2	22	22	NUM
cana-6155	22	3	]	]	PUNCT
cana-6155	22	4	demonstrated	demonstrate	VERB
cana-6155	22	5	that	that	SCONJ
cana-6155	22	6	scalar	scalar	ADJ
cana-6155	22	7	-	-	PUNCT
cana-6155	22	8	tensor	tensor	NOUN
cana-6155	22	9	theories	theory	NOUN
cana-6155	22	10	derived	derive	VERB
cana-6155	22	11	from	from	ADP
cana-6155	22	12	lyra	lyra	PROPN
cana-6155	22	13	geometry	geometry	NOUN
cana-6155	22	14	yield	yield	NOUN
cana-6155	22	15	predictions	prediction	NOUN
cana-6155	22	16	consistent	consistent	ADJ
cana-6155	22	17	with	with	ADP
cana-6155	22	18	those	those	PRON
cana-6155	22	19	of	of	ADP
cana-6155	22	20	general	general	ADJ
cana-6155	22	21	relativity	relativity	NOUN
cana-6155	22	22	.	.	PUNCT
cana-6155	23	1	subsequent	subsequent	ADJ
cana-6155	23	2	studies	study	NOUN
cana-6155	23	3	have	have	AUX
cana-6155	23	4	focused	focus	VERB
cana-6155	23	5	on	on	ADP
cana-6155	23	6	cosmological	cosmological	ADJ
cana-6155	23	7	models	model	NOUN
cana-6155	23	8	grounded	ground	VERB
cana-6155	23	9	in	in	ADP
cana-6155	23	10	lyra	lyra	PROPN
cana-6155	23	11	geometry	geometry	NOUN
cana-6155	23	12	,	,	PUNCT
cana-6155	23	13	with	with	ADP
cana-6155	23	14	contributions	contribution	NOUN
cana-6155	23	15	from	from	ADP
cana-6155	23	16	several	several	ADJ
cana-6155	23	17	mailto:parimalgaidhane95@gmail.com	mailto:parimalgaidhane95@gmail.com	NOUN
cana-6155	23	18	mailto:ashokpund64@rediffmail.com	mailto:ashokpund64@rediffmail.com	PROPN
cana-6155	23	19	communications	communication	NOUN
cana-6155	23	20	on	on	ADP
cana-6155	23	21	applied	apply	VERB
cana-6155	23	22	nonlinear	nonlinear	ADJ
cana-6155	23	23	analysis	analysis	NOUN
cana-6155	23	24	issn	issn	NOUN
cana-6155	23	25	:	:	PUNCT
cana-6155	23	26	1074	1074	NUM
cana-6155	23	27	-	-	PUNCT
cana-6155	23	28	133x	133x	NUM
cana-6155	23	29	vol	vol	NOUN
cana-6155	23	30	31	31	NUM
cana-6155	23	31	no	no	NOUN
cana-6155	23	32	.	.	PUNCT
cana-6155	24	1	8s	8s	PROPN
cana-6155	24	2	(	(	PUNCT
cana-6155	24	3	2024	2024	NUM
cana-6155	24	4	)	)	PUNCT
cana-6155	24	5	1213	1213	NUM
cana-6155	24	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	24	7	researchers	researcher	NOUN
cana-6155	24	8	.	.	PUNCT
cana-6155	25	1	recent	recent	ADJ
cana-6155	25	2	investigations	investigation	NOUN
cana-6155	25	3	by	by	ADP
cana-6155	25	4	v.	v.	PROPN
cana-6155	25	5	g.	g.	PROPN
cana-6155	25	6	mete	mete	PROPN
cana-6155	25	7	et	et	PROPN
cana-6155	25	8	al	al	PROPN
cana-6155	25	9	.	.	PUNCT
cana-6155	26	1	[	[	X
cana-6155	26	2	23	23	NUM
cana-6155	26	3	]	]	PUNCT
cana-6155	26	4	,	,	PUNCT
cana-6155	26	5	p.	p.	PROPN
cana-6155	26	6	m.	m.	PROPN
cana-6155	26	7	lambat	lambat	PROPN
cana-6155	26	8	et	et	PROPN
cana-6155	26	9	al	al	PROPN
cana-6155	26	10	.	.	PUNCT
cana-6155	27	1	[	[	X
cana-6155	27	2	24	24	NUM
cana-6155	27	3	]	]	PUNCT
cana-6155	27	4	,	,	PUNCT
cana-6155	27	5	y.	y.	PROPN
cana-6155	27	6	aditya	aditya	PROPN
cana-6155	27	7	et	et	PROPN
cana-6155	27	8	al	al	PROPN
cana-6155	27	9	.	.	PUNCT
cana-6155	28	1	[	[	X
cana-6155	28	2	25	25	NUM
cana-6155	28	3	]	]	PUNCT
cana-6155	28	4	,	,	PUNCT
cana-6155	28	5	j.	j.	PROPN
cana-6155	28	6	k.	k.	PROPN
cana-6155	28	7	singh	singh	PROPN
cana-6155	28	8	et	et	PROPN
cana-6155	28	9	al	al	PROPN
cana-6155	28	10	.	.	PUNCT
cana-6155	29	1	[	[	X
cana-6155	29	2	26	26	NUM
cana-6155	29	3	]	]	PUNCT
cana-6155	29	4	,	,	PUNCT
cana-6155	29	5	and	and	CCONJ
cana-6155	29	6	bishi	bishi	PROPN
cana-6155	29	7	et	et	PROPN
cana-6155	29	8	al	al	PROPN
cana-6155	29	9	.	.	PUNCT
cana-6155	30	1	[	[	X
cana-6155	30	2	27	27	NUM
cana-6155	30	3	]	]	PUNCT
cana-6155	30	4	have	have	AUX
cana-6155	30	5	explored	explore	VERB
cana-6155	30	6	diverse	diverse	ADJ
cana-6155	30	7	aspects	aspect	NOUN
cana-6155	30	8	of	of	ADP
cana-6155	30	9	these	these	DET
cana-6155	30	10	models	model	NOUN
cana-6155	30	11	,	,	PUNCT
cana-6155	30	12	further	far	ADV
cana-6155	30	13	enriching	enrich	VERB
cana-6155	30	14	the	the	DET
cana-6155	30	15	understanding	understanding	NOUN
cana-6155	30	16	of	of	ADP
cana-6155	30	17	lyra	lyra	PROPN
cana-6155	30	18	-	-	PUNCT
cana-6155	30	19	based	base	VERB
cana-6155	30	20	cosmological	cosmological	ADJ
cana-6155	30	21	frameworks	framework	NOUN
cana-6155	30	22	.	.	PUNCT
cana-6155	31	1	high	high	ADJ
cana-6155	31	2	-	-	PUNCT
cana-6155	31	3	dimensional	dimensional	ADJ
cana-6155	31	4	cosmology	cosmology	NOUN
cana-6155	31	5	is	be	AUX
cana-6155	31	6	pivotal	pivotal	ADJ
cana-6155	31	7	in	in	ADP
cana-6155	31	8	understanding	understand	VERB
cana-6155	31	9	the	the	DET
cana-6155	31	10	early	early	ADJ
cana-6155	31	11	stages	stage	NOUN
cana-6155	31	12	of	of	ADP
cana-6155	31	13	the	the	DET
cana-6155	31	14	universe	universe	NOUN
cana-6155	31	15	's	's	PART
cana-6155	31	16	evolution	evolution	NOUN
cana-6155	31	17	immediately	immediately	ADV
cana-6155	31	18	following	follow	VERB
cana-6155	31	19	the	the	DET
cana-6155	31	20	big	big	PROPN
cana-6155	31	21	bang	bang	PROPN
cana-6155	31	22	.	.	PUNCT
cana-6155	32	1	over	over	ADP
cana-6155	32	2	time	time	NOUN
cana-6155	32	3	,	,	PUNCT
cana-6155	32	4	the	the	DET
cana-6155	32	5	universe	universe	NOUN
cana-6155	32	6	condensed	condense	VERB
cana-6155	32	7	into	into	ADP
cana-6155	32	8	its	its	PRON
cana-6155	32	9	present	present	ADJ
cana-6155	32	10	four	four	NUM
cana-6155	32	11	-	-	PUNCT
cana-6155	32	12	dimensional	dimensional	ADJ
cana-6155	32	13	form	form	NOUN
cana-6155	32	14	.	.	PUNCT
cana-6155	33	1	prominent	prominent	ADJ
cana-6155	33	2	researchers	researcher	NOUN
cana-6155	33	3	such	such	ADJ
cana-6155	33	4	as	as	ADP
cana-6155	33	5	witten	witten	PROPN
cana-6155	33	6	[	[	X
cana-6155	33	7	28	28	NUM
cana-6155	33	8	]	]	PUNCT
cana-6155	33	9	and	and	CCONJ
cana-6155	33	10	appelquist	appelquist	PROPN
cana-6155	33	11	et	et	PROPN
cana-6155	33	12	al	al	PROPN
cana-6155	33	13	.	.	PUNCT
cana-6155	34	1	[	[	X
cana-6155	34	2	29	29	NUM
cana-6155	34	3	]	]	PUNCT
cana-6155	34	4	have	have	AUX
cana-6155	34	5	extensively	extensively	ADV
cana-6155	34	6	studied	study	VERB
cana-6155	34	7	the	the	DET
cana-6155	34	8	implications	implication	NOUN
cana-6155	34	9	of	of	ADP
cana-6155	34	10	higher	high	ADJ
cana-6155	34	11	-	-	PUNCT
cana-6155	34	12	dimensional	dimensional	ADJ
cana-6155	34	13	cosmology	cosmology	NOUN
cana-6155	34	14	.	.	PUNCT
cana-6155	35	1	in	in	ADP
cana-6155	35	2	the	the	DET
cana-6155	35	3	context	context	NOUN
cana-6155	35	4	of	of	ADP
cana-6155	35	5	kaluza	kaluza	PROPN
cana-6155	35	6	-	-	PUNCT
cana-6155	35	7	klein	klein	PROPN
cana-6155	35	8	five	five	NUM
cana-6155	35	9	-	-	PUNCT
cana-6155	35	10	dimensional	dimensional	ADJ
cana-6155	35	11	geometry	geometry	NOUN
cana-6155	35	12	(	(	PUNCT
cana-6155	35	13	proposed	propose	VERB
cana-6155	35	14	by	by	ADP
cana-6155	35	15	kaluza	kaluza	PROPN
cana-6155	35	16	[	[	X
cana-6155	35	17	30	30	NUM
cana-6155	35	18	]	]	PUNCT
cana-6155	35	19	and	and	CCONJ
cana-6155	35	20	klein	klein	PROPN
cana-6155	36	1	[	[	X
cana-6155	36	2	31	31	NUM
cana-6155	36	3	]	]	NUM
cana-6155	36	4	)	)	PUNCT
cana-6155	36	5	,	,	PUNCT
cana-6155	36	6	additional	additional	ADJ
cana-6155	36	7	spatial	spatial	ADJ
cana-6155	36	8	dimensions	dimension	NOUN
cana-6155	36	9	are	be	AUX
cana-6155	36	10	employed	employ	VERB
cana-6155	36	11	to	to	PART
cana-6155	36	12	unify	unify	VERB
cana-6155	36	13	gravity	gravity	NOUN
cana-6155	36	14	and	and	CCONJ
cana-6155	36	15	electromagnetism	electromagnetism	NOUN
cana-6155	36	16	.	.	PUNCT
cana-6155	37	1	this	this	DET
cana-6155	37	2	framework	framework	NOUN
cana-6155	37	3	introduced	introduce	VERB
cana-6155	37	4	the	the	DET
cana-6155	37	5	concept	concept	NOUN
cana-6155	37	6	of	of	ADP
cana-6155	37	7	the	the	DET
cana-6155	37	8	"	"	PUNCT
cana-6155	37	9	cosmological	cosmological	ADJ
cana-6155	37	10	reduction	reduction	NOUN
cana-6155	37	11	process	process	NOUN
cana-6155	37	12	,	,	PUNCT
cana-6155	37	13	"	"	PUNCT
cana-6155	37	14	where	where	SCONJ
cana-6155	37	15	the	the	DET
cana-6155	37	16	extra	extra	ADJ
cana-6155	37	17	dimensions	dimension	NOUN
cana-6155	37	18	contract	contract	NOUN
cana-6155	37	19	to	to	PART
cana-6155	37	20	scales	scale	NOUN
cana-6155	37	21	so	so	ADV
cana-6155	37	22	minute	minute	VERB
cana-6155	37	23	that	that	SCONJ
cana-6155	37	24	they	they	PRON
cana-6155	37	25	become	become	VERB
cana-6155	37	26	undetectable	undetectable	ADJ
cana-6155	37	27	.	.	PUNCT
cana-6155	38	1	the	the	DET
cana-6155	38	2	dynamic	dynamic	ADJ
cana-6155	38	3	contraction	contraction	NOUN
cana-6155	38	4	of	of	ADP
cana-6155	38	5	extra	extra	ADJ
cana-6155	38	6	dimensions	dimension	NOUN
cana-6155	38	7	was	be	AUX
cana-6155	38	8	further	far	ADV
cana-6155	38	9	explored	explore	VERB
cana-6155	38	10	by	by	ADP
cana-6155	38	11	chodos	chodo	NOUN
cana-6155	38	12	and	and	CCONJ
cana-6155	38	13	detweller	detweller	NOUN
cana-6155	38	14	[	[	X
cana-6155	38	15	32	32	NUM
cana-6155	38	16	]	]	PUNCT
cana-6155	38	17	and	and	CCONJ
cana-6155	38	18	freund	freund	PROPN
cana-6155	38	19	and	and	CCONJ
cana-6155	38	20	hawking	hawk	VERB
cana-6155	38	21	[	[	X
cana-6155	38	22	33	33	NUM
cana-6155	38	23	]	]	PUNCT
cana-6155	38	24	,	,	PUNCT
cana-6155	38	25	who	who	PRON
cana-6155	38	26	demonstrated	demonstrate	VERB
cana-6155	38	27	that	that	SCONJ
cana-6155	38	28	these	these	DET
cana-6155	38	29	dimensions	dimension	NOUN
cana-6155	38	30	are	be	AUX
cana-6155	38	31	rendered	render	VERB
cana-6155	38	32	imperceptible	imperceptible	ADJ
cana-6155	38	33	due	due	ADP
cana-6155	38	34	to	to	ADP
cana-6155	38	35	their	their	PRON
cana-6155	38	36	diminishing	diminishing	NOUN
cana-6155	38	37	scale	scale	NOUN
cana-6155	38	38	.	.	PUNCT
cana-6155	39	1	kaluza	kaluza	PROPN
cana-6155	39	2	-	-	PUNCT
cana-6155	39	3	klein	klein	PROPN
cana-6155	39	4	cosmological	cosmological	ADJ
cana-6155	39	5	models	model	NOUN
cana-6155	39	6	have	have	AUX
cana-6155	39	7	been	be	AUX
cana-6155	39	8	examined	examine	VERB
cana-6155	39	9	extensively	extensively	ADV
cana-6155	39	10	within	within	ADP
cana-6155	39	11	the	the	DET
cana-6155	39	12	framework	framework	NOUN
cana-6155	39	13	of	of	ADP
cana-6155	39	14	lyra	lyra	PROPN
cana-6155	39	15	geometry	geometry	PROPN
cana-6155	39	16	.	.	PUNCT
cana-6155	40	1	studies	study	NOUN
cana-6155	40	2	by	by	ADP
cana-6155	40	3	pawar	pawar	PROPN
cana-6155	40	4	et	et	PROPN
cana-6155	40	5	al	al	PROPN
cana-6155	40	6	.	.	PUNCT
cana-6155	41	1	[	[	X
cana-6155	41	2	34	34	NUM
cana-6155	41	3	]	]	PUNCT
cana-6155	41	4	,	,	PUNCT
cana-6155	41	5	y.	y.	PROPN
cana-6155	41	6	aditya	aditya	PROPN
cana-6155	41	7	et	et	PROPN
cana-6155	41	8	al	al	PROPN
cana-6155	41	9	.	.	PUNCT
cana-6155	42	1	[	[	X
cana-6155	42	2	35	35	NUM
cana-6155	42	3	]	]	PUNCT
cana-6155	42	4	,	,	PUNCT
cana-6155	42	5	and	and	CCONJ
cana-6155	42	6	mishra	mishra	PROPN
cana-6155	42	7	et	et	PROPN
cana-6155	42	8	al	al	PROPN
cana-6155	42	9	.	.	PUNCT
cana-6155	43	1	[	[	X
cana-6155	43	2	36	36	NUM
cana-6155	43	3	]	]	PUNCT
cana-6155	43	4	have	have	AUX
cana-6155	43	5	delved	delve	VERB
cana-6155	43	6	into	into	ADP
cana-6155	43	7	these	these	DET
cana-6155	43	8	models	model	NOUN
cana-6155	43	9	in	in	ADP
cana-6155	43	10	lyra	lyra	PROPN
cana-6155	43	11	geometry	geometry	NOUN
cana-6155	43	12	,	,	PUNCT
cana-6155	43	13	while	while	SCONJ
cana-6155	43	14	research	research	NOUN
cana-6155	43	15	by	by	ADP
cana-6155	43	16	v.	v.	PROPN
cana-6155	43	17	g.	g.	PROPN
cana-6155	43	18	mete	mete	PROPN
cana-6155	43	19	et	et	PROPN
cana-6155	43	20	al	al	PROPN
cana-6155	43	21	.	.	PUNCT
cana-6155	44	1	[	[	X
cana-6155	44	2	37	37	NUM
cana-6155	44	3	]	]	PUNCT
cana-6155	44	4	,	,	PUNCT
cana-6155	44	5	d.	d.	PROPN
cana-6155	44	6	trivedi	trivedi	PROPN
cana-6155	44	7	et	et	PROPN
cana-6155	44	8	al	al	PROPN
cana-6155	44	9	.	.	PUNCT
cana-6155	45	1	[	[	X
cana-6155	45	2	38	38	NUM
cana-6155	45	3	]	]	PUNCT
cana-6155	45	4	,	,	PUNCT
cana-6155	45	5	and	and	CCONJ
cana-6155	45	6	m.	m.	NOUN
cana-6155	45	7	v.	v.	ADP
cana-6155	45	8	santhi	santhi	ADV
cana-6155	45	9	et	et	PROPN
cana-6155	45	10	al	al	PROPN
cana-6155	45	11	.	.	PUNCT
cana-6155	46	1	[	[	X
cana-6155	46	2	39	39	NUM
cana-6155	46	3	]	]	PUNCT
cana-6155	46	4	has	have	AUX
cana-6155	46	5	focused	focus	VERB
cana-6155	46	6	on	on	ADP
cana-6155	46	7	incorporating	incorporate	VERB
cana-6155	46	8	dark	dark	ADJ
cana-6155	46	9	energy	energy	NOUN
cana-6155	46	10	and	and	CCONJ
cana-6155	46	11	barotropic	barotropic	ADJ
cana-6155	46	12	fluid	fluid	NOUN
cana-6155	46	13	into	into	ADP
cana-6155	46	14	various	various	ADJ
cana-6155	46	15	cosmological	cosmological	ADJ
cana-6155	46	16	scenarios	scenario	NOUN
cana-6155	46	17	.	.	PUNCT
cana-6155	47	1	in	in	ADP
cana-6155	47	2	this	this	DET
cana-6155	47	3	study	study	NOUN
cana-6155	47	4	,	,	PUNCT
cana-6155	47	5	we	we	PRON
cana-6155	47	6	explore	explore	VERB
cana-6155	47	7	the	the	DET
cana-6155	47	8	estimation	estimation	NOUN
cana-6155	47	9	of	of	ADP
cana-6155	47	10	dark	dark	ADJ
cana-6155	47	11	energy	energy	NOUN
cana-6155	47	12	parameters	parameter	NOUN
cana-6155	47	13	within	within	ADP
cana-6155	47	14	a	a	DET
cana-6155	47	15	five	five	NUM
cana-6155	47	16	-	-	PUNCT
cana-6155	47	17	dimensional	dimensional	ADJ
cana-6155	47	18	homogeneous	homogeneous	ADJ
cana-6155	47	19	and	and	CCONJ
cana-6155	47	20	anisotropic	anisotropic	NOUN
cana-6155	47	21	kaluza	kaluza	PROPN
cana-6155	47	22	-	-	PUNCT
cana-6155	47	23	klein	klein	PROPN
cana-6155	47	24	spacetime	spacetime	PROPN
cana-6155	47	25	,	,	PUNCT
cana-6155	47	26	incorporating	incorporate	VERB
cana-6155	47	27	a	a	DET
cana-6155	47	28	barotropic	barotropic	ADJ
cana-6155	47	29	fluid	fluid	NOUN
cana-6155	47	30	and	and	CCONJ
cana-6155	47	31	dark	dark	ADJ
cana-6155	47	32	energy	energy	NOUN
cana-6155	47	33	.	.	PUNCT
cana-6155	48	1	section	section	NOUN
cana-6155	48	2	2	2	NUM
cana-6155	48	3	outlines	outline	VERB
cana-6155	48	4	the	the	DET
cana-6155	48	5	metric	metric	ADJ
cana-6155	48	6	and	and	CCONJ
cana-6155	48	7	field	field	NOUN
cana-6155	48	8	equations	equation	NOUN
cana-6155	48	9	that	that	PRON
cana-6155	48	10	form	form	VERB
cana-6155	48	11	the	the	DET
cana-6155	48	12	basis	basis	NOUN
cana-6155	48	13	of	of	ADP
cana-6155	48	14	the	the	DET
cana-6155	48	15	analysis	analysis	NOUN
cana-6155	48	16	.	.	PUNCT
cana-6155	49	1	section	section	NOUN
cana-6155	49	2	3	3	NUM
cana-6155	49	3	focuses	focus	VERB
cana-6155	49	4	on	on	ADP
cana-6155	49	5	deriving	derive	VERB
cana-6155	49	6	solutions	solution	NOUN
cana-6155	49	7	to	to	ADP
cana-6155	49	8	the	the	DET
cana-6155	49	9	field	field	NOUN
cana-6155	49	10	equations	equation	NOUN
cana-6155	49	11	and	and	CCONJ
cana-6155	49	12	determining	determine	VERB
cana-6155	49	13	relevant	relevant	ADJ
cana-6155	49	14	physical	physical	ADJ
cana-6155	49	15	and	and	CCONJ
cana-6155	49	16	geometric	geometric	ADJ
cana-6155	49	17	parameters	parameter	NOUN
cana-6155	49	18	.	.	PUNCT
cana-6155	50	1	in	in	ADP
cana-6155	50	2	section	section	NOUN
cana-6155	50	3	4	4	NUM
cana-6155	50	4	,	,	PUNCT
cana-6155	50	5	we	we	PRON
cana-6155	50	6	examine	examine	VERB
cana-6155	50	7	two	two	NUM
cana-6155	50	8	scenarios	scenario	NOUN
cana-6155	50	9	involving	involve	VERB
cana-6155	50	10	fluid	fluid	ADJ
cana-6155	50	11	interactions	interaction	NOUN
cana-6155	50	12	:	:	PUNCT
cana-6155	50	13	interacting	interact	VERB
cana-6155	50	14	and	and	CCONJ
cana-6155	50	15	non	non	ADJ
cana-6155	50	16	-	-	ADJ
cana-6155	50	17	interacting	interacting	ADJ
cana-6155	50	18	fluids	fluid	NOUN
cana-6155	50	19	.	.	PUNCT
cana-6155	51	1	section	section	NOUN
cana-6155	51	2	5	5	NUM
cana-6155	51	3	is	be	AUX
cana-6155	51	4	dedicated	dedicate	VERB
cana-6155	51	5	to	to	ADP
cana-6155	51	6	the	the	DET
cana-6155	51	7	computation	computation	NOUN
cana-6155	51	8	of	of	ADP
cana-6155	51	9	various	various	ADJ
cana-6155	51	10	cosmological	cosmological	ADJ
cana-6155	51	11	parameters	parameter	NOUN
cana-6155	51	12	,	,	PUNCT
cana-6155	51	13	while	while	SCONJ
cana-6155	51	14	section	section	NOUN
cana-6155	51	15	6	6	NUM
cana-6155	51	16	presents	present	VERB
cana-6155	51	17	the	the	DET
cana-6155	51	18	conclusions	conclusion	NOUN
cana-6155	51	19	drawn	draw	VERB
cana-6155	51	20	from	from	ADP
cana-6155	51	21	the	the	DET
cana-6155	51	22	study	study	NOUN
cana-6155	51	23	.	.	PUNCT
cana-6155	52	1	2	2	X
cana-6155	52	2	.	.	X
cana-6155	52	3	metric	metric	ADJ
cana-6155	52	4	and	and	CCONJ
cana-6155	52	5	field	field	NOUN
cana-6155	52	6	equation	equation	NOUN
cana-6155	52	7	we	we	PRON
cana-6155	52	8	consider	consider	VERB
cana-6155	52	9	the	the	DET
cana-6155	52	10	spatially	spatially	ADV
cana-6155	52	11	homogeneous	homogeneous	ADJ
cana-6155	52	12	and	and	CCONJ
cana-6155	52	13	anisotropic	anisotropic	NOUN
cana-6155	52	14	five	five	NUM
cana-6155	52	15	-	-	PUNCT
cana-6155	52	16	dimensional	dimensional	ADJ
cana-6155	52	17	kaluza	kaluza	PROPN
cana-6155	52	18	-	-	PUNCT
cana-6155	52	19	klein	klein	PROPN
cana-6155	52	20	space	space	NOUN
cana-6155	52	21	-	-	PUNCT
cana-6155	52	22	time	time	NOUN
cana-6155	52	23	given	give	VERB
cana-6155	52	24	by	by	ADP
cana-6155	52	25	,	,	PUNCT
cana-6155	52	26	𝑑𝑠2	𝑑𝑠2	NOUN
cana-6155	52	27	=	=	SYM
cana-6155	52	28	𝑑𝑡2	𝑑𝑡2	NOUN
cana-6155	52	29	−	−	PROPN
cana-6155	53	1	𝐴2(𝑑𝑥2	𝐴2(𝑑𝑥2	PROPN
cana-6155	53	2	+	+	CCONJ
cana-6155	53	3	𝑑𝑦2	𝑑𝑦2	X
cana-6155	53	4	+	+	SYM
cana-6155	53	5	𝑑𝑧2	𝑑𝑧2	NOUN
cana-6155	53	6	)	)	PUNCT
cana-6155	53	7	−	−	PROPN
cana-6155	53	8	𝐵2𝑑𝜓2	𝐵2𝑑𝜓2	CCONJ
cana-6155	53	9	(	(	PUNCT
cana-6155	53	10	1	1	X
cana-6155	53	11	)	)	PUNCT
cana-6155	53	12	where	where	SCONJ
cana-6155	53	13	,	,	PUNCT
cana-6155	53	14	𝐴	𝐴	PROPN
cana-6155	53	15	and	and	CCONJ
cana-6155	53	16	𝐵	𝐵	PROPN
cana-6155	53	17	are	be	AUX
cana-6155	53	18	functions	function	NOUN
cana-6155	53	19	of	of	ADP
cana-6155	53	20	cosmic	cosmic	ADJ
cana-6155	53	21	time	time	NOUN
cana-6155	53	22	𝑡	𝑡	X
cana-6155	53	23	only	only	ADV
cana-6155	53	24	and	and	CCONJ
cana-6155	53	25	the	the	DET
cana-6155	53	26	fifth	fifth	ADJ
cana-6155	53	27	coordinate	coordinate	NOUN
cana-6155	53	28	𝜓	𝜓	NOUN
cana-6155	53	29	is	be	AUX
cana-6155	53	30	assumed	assume	VERB
cana-6155	53	31	to	to	PART
cana-6155	53	32	be	be	AUX
cana-6155	53	33	space	space	NOUN
cana-6155	53	34	-	-	PUNCT
cana-6155	53	35	like	like	ADJ
cana-6155	53	36	coordinate	coordinate	NOUN
cana-6155	53	37	einstein	einstein	PROPN
cana-6155	53	38	’s	’s	PART
cana-6155	53	39	field	field	NOUN
cana-6155	53	40	equation	equation	NOUN
cana-6155	53	41	is	be	AUX
cana-6155	53	42	given	give	VERB
cana-6155	53	43	by	by	ADP
cana-6155	53	44	,	,	PUNCT
cana-6155	54	1	𝑅𝑖	𝑅𝑖	PROPN
cana-6155	54	2	𝑗	𝑗	INTJ
cana-6155	54	3	−	−	NUM
cana-6155	54	4	1	1	NUM
cana-6155	54	5	2	2	NUM
cana-6155	54	6	𝑅𝑔𝑖	𝑅𝑔𝑖	NOUN
cana-6155	54	7	𝑗	𝑗	NOUN
cana-6155	54	8	+	+	NOUN
cana-6155	54	9	3	3	NUM
cana-6155	54	10	2	2	NUM
cana-6155	54	11	𝜙𝑖𝜙	𝜙𝑖𝜙	NOUN
cana-6155	54	12	𝑗	𝑗	INTJ
cana-6155	54	13	−	−	PROPN
cana-6155	54	14	3	3	NUM
cana-6155	54	15	4	4	NUM
cana-6155	54	16	𝑔𝑖	𝑔𝑖	NOUN
cana-6155	54	17	𝑗	𝑗	PRON
cana-6155	54	18	𝜙𝑎𝜙𝑎	𝜙𝑎𝜙𝑎	NOUN
cana-6155	54	19	=	=	PUNCT
cana-6155	54	20	−8𝜋𝑇𝑖	−8𝜋𝑇𝑖	ADJ
cana-6155	54	21	𝑗	𝑗	NOUN
cana-6155	54	22	(	(	PUNCT
cana-6155	54	23	2	2	NUM
cana-6155	54	24	)	)	PUNCT
cana-6155	54	25	where	where	SCONJ
cana-6155	54	26	𝜙𝑖	𝜙𝑖	AUX
cana-6155	54	27	a	a	DET
cana-6155	54	28	displacement	displacement	ADJ
cana-6155	54	29	field	field	NOUN
cana-6155	54	30	vector	vector	NOUN
cana-6155	54	31	is	be	AUX
cana-6155	54	32	defined	define	VERB
cana-6155	54	33	𝜙𝑖	𝜙𝑖	NOUN
cana-6155	54	34	=	=	SYM
cana-6155	54	35	(	(	PUNCT
cana-6155	54	36	0,0,0,0	0,0,0,0	NOUN
cana-6155	54	37	,	,	PUNCT
cana-6155	54	38	𝛽(𝑡	𝛽(𝑡	PROPN
cana-6155	54	39	)	)	PUNCT
cana-6155	54	40	)	)	PUNCT
cana-6155	54	41	,	,	PUNCT
cana-6155	54	42	and	and	CCONJ
cana-6155	54	43	other	other	ADJ
cana-6155	54	44	symbols	symbol	NOUN
cana-6155	54	45	have	have	VERB
cana-6155	54	46	their	their	PRON
cana-6155	54	47	usual	usual	ADJ
cana-6155	54	48	meaning	meaning	NOUN
cana-6155	54	49	,	,	PUNCT
cana-6155	54	50	as	as	ADP
cana-6155	54	51	in	in	ADP
cana-6155	54	52	riemannian	riemannian	ADJ
cana-6155	54	53	geometry	geometry	NOUN
cana-6155	54	54	.	.	PUNCT
cana-6155	55	1	the	the	DET
cana-6155	55	2	energy	energy	NOUN
cana-6155	55	3	momentum	momentum	NOUN
cana-6155	55	4	tensor	tensor	NOUN
cana-6155	55	5	for	for	ADP
cana-6155	55	6	two	two	NUM
cana-6155	55	7	fluid	fluid	NOUN
cana-6155	55	8	is	be	AUX
cana-6155	55	9	given	give	VERB
cana-6155	55	10	by	by	ADP
cana-6155	55	11	,	,	PUNCT
cana-6155	55	12	𝑇𝑖	𝑇𝑖	PROPN
cana-6155	55	13	𝑗	𝑗	NOUN
cana-6155	55	14	=	=	X
cana-6155	55	15	𝑇𝑖	𝑇𝑖	ADP
cana-6155	55	16	𝑗(𝐵	𝑗(𝐵	PROPN
cana-6155	55	17	)	)	PUNCT
cana-6155	56	1	+	+	CCONJ
cana-6155	57	1	𝑇𝑖	𝑇𝑖	ADP
cana-6155	57	2	𝑗(𝐷	𝑗(𝐷	PROPN
cana-6155	57	3	)	)	PUNCT
cana-6155	57	4	(	(	PUNCT
cana-6155	57	5	3	3	X
cana-6155	57	6	)	)	PUNCT
cana-6155	57	7	where	where	SCONJ
cana-6155	57	8	𝑇𝑖	𝑇𝑖	PROPN
cana-6155	57	9	𝑗	𝑗	INTJ
cana-6155	57	10	(	(	PUNCT
cana-6155	57	11	𝐵	𝐵	NOUN
cana-6155	57	12	)	)	PUNCT
cana-6155	57	13	and	and	CCONJ
cana-6155	57	14	𝑇𝑖	𝑇𝑖	ADP
cana-6155	57	15	𝑗	𝑗	PROPN
cana-6155	57	16	(	(	PUNCT
cana-6155	57	17	𝐷	𝐷	NOUN
cana-6155	57	18	)	)	PUNCT
cana-6155	57	19	represents	represent	VERB
cana-6155	57	20	energy	energy	NOUN
cana-6155	57	21	momentum	momentum	NOUN
cana-6155	57	22	tensor	tensor	NOUN
cana-6155	57	23	for	for	ADP
cana-6155	57	24	barotropic	barotropic	ADJ
cana-6155	57	25	fluid	fluid	ADJ
cana-6155	57	26	and	and	CCONJ
cana-6155	57	27	dark	dark	ADJ
cana-6155	57	28	energy	energy	NOUN
cana-6155	57	29	respectively	respectively	ADV
cana-6155	57	30	.	.	PUNCT
cana-6155	58	1	also	also	ADV
cana-6155	58	2	,	,	PUNCT
cana-6155	58	3	𝑇𝑖	𝑇𝑖	SCONJ
cana-6155	58	4	𝑗(𝐵	𝑗(𝐵	NOUN
cana-6155	58	5	)	)	PUNCT
cana-6155	58	6	=	=	SYM
cana-6155	58	7	(	(	PUNCT
cana-6155	58	8	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	58	9	+	+	NUM
cana-6155	58	10	𝑝𝐵)𝑢𝑖𝑢	𝑝𝐵)𝑢𝑖𝑢	NOUN
cana-6155	58	11	𝑗	𝑗	PRON
cana-6155	58	12	−	−	PROPN
cana-6155	58	13	𝑝𝐵𝑔𝑖	𝑝𝐵𝑔𝑖	PROPN
cana-6155	58	14	𝑗	𝑗	PROPN
cana-6155	58	15	(	(	PUNCT
cana-6155	58	16	4	4	NUM
cana-6155	58	17	)	)	PUNCT
cana-6155	58	18	𝑇𝑖	𝑇𝑖	ADP
cana-6155	58	19	𝑗(𝐷	𝑗(𝐷	PROPN
cana-6155	58	20	)	)	PUNCT
cana-6155	59	1	=	=	PRON
cana-6155	59	2	(	(	PUNCT
cana-6155	59	3	𝜌𝐷	𝜌𝐷	ADP
cana-6155	59	4	+	+	X
cana-6155	59	5	𝑝𝐷)𝑢𝑖𝑢	𝑝𝐷)𝑢𝑖𝑢	ADP
cana-6155	59	6	𝑗	𝑗	NOUN
cana-6155	59	7	−	−	NOUN
cana-6155	59	8	𝑝𝐷𝑔𝑖	𝑝𝐷𝑔𝑖	PROPN
cana-6155	59	9	𝑗	𝑗	INTJ
cana-6155	59	10	(	(	PUNCT
cana-6155	59	11	5	5	NUM
cana-6155	59	12	)	)	PUNCT
cana-6155	59	13	communications	communication	NOUN
cana-6155	59	14	on	on	ADP
cana-6155	59	15	applied	apply	VERB
cana-6155	59	16	nonlinear	nonlinear	ADJ
cana-6155	59	17	analysis	analysis	NOUN
cana-6155	59	18	issn	issn	NOUN
cana-6155	59	19	:	:	PUNCT
cana-6155	59	20	1074	1074	NUM
cana-6155	59	21	-	-	PUNCT
cana-6155	59	22	133x	133x	NUM
cana-6155	59	23	vol	vol	NOUN
cana-6155	59	24	31	31	NUM
cana-6155	59	25	no	no	NOUN
cana-6155	59	26	.	.	PUNCT
cana-6155	60	1	8s	8s	PROPN
cana-6155	60	2	(	(	PUNCT
cana-6155	60	3	2024	2024	NUM
cana-6155	60	4	)	)	PUNCT
cana-6155	60	5	1214	1214	NUM
cana-6155	60	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	60	7	where	where	SCONJ
cana-6155	60	8	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	60	9	and	and	CCONJ
cana-6155	60	10	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	60	11	represents	represent	VERB
cana-6155	60	12	the	the	DET
cana-6155	60	13	energy	energy	NOUN
cana-6155	60	14	density	density	NOUN
cana-6155	60	15	of	of	ADP
cana-6155	60	16	barotropic	barotropic	ADJ
cana-6155	60	17	fluid	fluid	NOUN
cana-6155	60	18	and	and	CCONJ
cana-6155	60	19	dark	dark	ADJ
cana-6155	60	20	energy	energy	NOUN
cana-6155	60	21	,	,	PUNCT
cana-6155	60	22	respectively	respectively	ADV
cana-6155	60	23	.	.	PUNCT
cana-6155	61	1	also	also	ADV
cana-6155	61	2	𝑝𝐵	𝑝𝐵	NOUN
cana-6155	61	3	and	and	CCONJ
cana-6155	61	4	𝑝𝐷	𝑝𝐷	NOUN
cana-6155	61	5	represents	represent	VERB
cana-6155	61	6	the	the	DET
cana-6155	61	7	pressure	pressure	NOUN
cana-6155	61	8	of	of	ADP
cana-6155	61	9	barotropic	barotropic	ADJ
cana-6155	61	10	fluid	fluid	NOUN
cana-6155	61	11	and	and	CCONJ
cana-6155	61	12	dark	dark	ADJ
cana-6155	61	13	energy	energy	NOUN
cana-6155	61	14	,	,	PUNCT
cana-6155	61	15	respectively	respectively	ADV
cana-6155	61	16	.	.	PUNCT
cana-6155	62	1	the	the	DET
cana-6155	62	2	equation	equation	NOUN
cana-6155	62	3	of	of	ADP
cana-6155	62	4	state	state	NOUN
cana-6155	62	5	parameter	parameter	NOUN
cana-6155	62	6	(	(	PUNCT
cana-6155	62	7	𝜔	𝜔	PROPN
cana-6155	62	8	)	)	PUNCT
cana-6155	62	9	,	,	PUNCT
cana-6155	62	10	which	which	PRON
cana-6155	62	11	is	be	AUX
cana-6155	62	12	considered	consider	VERB
cana-6155	62	13	an	an	DET
cana-6155	62	14	important	important	ADJ
cana-6155	62	15	quantity	quantity	NOUN
cana-6155	62	16	for	for	ADP
cana-6155	62	17	describing	describe	VERB
cana-6155	62	18	the	the	DET
cana-6155	62	19	dynamics	dynamic	NOUN
cana-6155	62	20	of	of	ADP
cana-6155	62	21	the	the	DET
cana-6155	62	22	universe	universe	NOUN
cana-6155	62	23	,	,	PUNCT
cana-6155	62	24	is	be	AUX
cana-6155	62	25	the	the	DET
cana-6155	62	26	ratio	ratio	NOUN
cana-6155	62	27	of	of	ADP
cana-6155	62	28	the	the	DET
cana-6155	62	29	pressure	pressure	NOUN
cana-6155	62	30	(	(	PUNCT
cana-6155	62	31	𝑝	𝑝	NOUN
cana-6155	62	32	)	)	PUNCT
cana-6155	62	33	to	to	ADP
cana-6155	62	34	the	the	DET
cana-6155	62	35	energy	energy	NOUN
cana-6155	62	36	density	density	NOUN
cana-6155	62	37	(	(	PUNCT
cana-6155	62	38	𝜌	𝜌	ADP
cana-6155	62	39	)	)	PUNCT
cana-6155	62	40	and	and	CCONJ
cana-6155	62	41	is	be	AUX
cana-6155	62	42	given	give	VERB
cana-6155	62	43	by	by	ADP
cana-6155	62	44	𝜔𝐵	𝜔𝐵	NOUN
cana-6155	62	45	=	=	SYM
cana-6155	62	46	𝑝𝐵	𝑝𝐵	PROPN
cana-6155	62	47	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	62	48	(	(	PUNCT
cana-6155	62	49	6	6	NUM
cana-6155	62	50	)	)	PUNCT
cana-6155	62	51	𝜔𝐷	𝜔𝐷	NOUN
cana-6155	62	52	=	=	SYM
cana-6155	62	53	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	62	54	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	62	55	(	(	PUNCT
cana-6155	62	56	7	7	NUM
cana-6155	62	57	)	)	PUNCT
cana-6155	62	58	the	the	DET
cana-6155	62	59	einstein	einstein	ADJ
cana-6155	62	60	field	field	NOUN
cana-6155	62	61	equation	equation	NOUN
cana-6155	62	62	(	(	PUNCT
cana-6155	62	63	2	2	NUM
cana-6155	62	64	)	)	PUNCT
cana-6155	62	65	and	and	CCONJ
cana-6155	62	66	(	(	PUNCT
cana-6155	62	67	3	3	X
cana-6155	62	68	)	)	PUNCT
cana-6155	62	69	for	for	ADP
cana-6155	62	70	the	the	DET
cana-6155	62	71	metric	metric	ADJ
cana-6155	62	72	(	(	PUNCT
cana-6155	62	73	1	1	NUM
cana-6155	62	74	)	)	PUNCT
cana-6155	62	75	,	,	PUNCT
cana-6155	62	76	it	it	PRON
cana-6155	62	77	follows	follow	VERB
cana-6155	62	78	that	that	SCONJ
cana-6155	62	79	2	2	NUM
cana-6155	62	80	�	�	NOUN
cana-6155	62	81	̈	̈	SYM
cana-6155	62	82	�	�	PROPN
cana-6155	62	83	𝐴	𝐴	PROPN
cana-6155	62	84	+	+	CCONJ
cana-6155	62	85	�	�	PROPN
cana-6155	62	86	̈	̈	SYM
cana-6155	62	87	�	�	PROPN
cana-6155	62	88	𝐵	𝐵	PROPN
cana-6155	62	89	+	+	CCONJ
cana-6155	62	90	�	�	PROPN
cana-6155	62	91	̇	̇	VERB
cana-6155	62	92	�	�	PROPN
cana-6155	62	93	2	2	NUM
cana-6155	62	94	𝐴2	𝐴2	NOUN
cana-6155	62	95	+	+	CCONJ
cana-6155	62	96	2	2	NUM
cana-6155	62	97	�	�	PROPN
cana-6155	62	98	̇	̇	PROPN
cana-6155	62	99	�	�	PROPN
cana-6155	62	100	�	�	PROPN
cana-6155	62	101	̇	̇	VERB
cana-6155	62	102	�	�	PROPN
cana-6155	62	103	𝐴𝐵	𝐴𝐵	NOUN
cana-6155	62	104	=	=	SYM
cana-6155	63	1	−8𝜋(𝑝𝐵	−8𝜋(𝑝𝐵	PROPN
cana-6155	64	1	+	+	PUNCT
cana-6155	64	2	𝑝𝐷	𝑝𝐷	NOUN
cana-6155	64	3	)	)	PUNCT
cana-6155	64	4	−	−	NOUN
cana-6155	64	5	3	3	NUM
cana-6155	64	6	4	4	NUM
cana-6155	64	7	𝛽2	𝛽2	NOUN
cana-6155	64	8	(	(	PUNCT
cana-6155	64	9	8)	8)	NUM
cana-6155	64	10	3	3	NUM
cana-6155	64	11	�	�	NOUN
cana-6155	64	12	̈	̈	SYM
cana-6155	64	13	�	�	PROPN
cana-6155	64	14	𝐴	𝐴	PROPN
cana-6155	64	15	+	+	CCONJ
cana-6155	64	16	3	3	NUM
cana-6155	64	17	�	�	PROPN
cana-6155	64	18	̇	̇	NOUN
cana-6155	64	19	�	�	PROPN
cana-6155	64	20	2	2	NUM
cana-6155	64	21	𝐴2	𝐴2	NOUN
cana-6155	64	22	=	=	SYM
cana-6155	64	23	−8𝜋(𝑝𝐵	−8𝜋(𝑝𝐵	PROPN
cana-6155	64	24	+	+	NUM
cana-6155	64	25	𝑝𝐷	𝑝𝐷	NOUN
cana-6155	64	26	)	)	PUNCT
cana-6155	64	27	−	−	NOUN
cana-6155	64	28	3	3	NUM
cana-6155	64	29	4	4	NUM
cana-6155	64	30	𝛽2	𝛽2	NOUN
cana-6155	64	31	(	(	PUNCT
cana-6155	64	32	9	9	NUM
cana-6155	64	33	)	)	SYM
cana-6155	64	34	3	3	NUM
cana-6155	64	35	�	�	PROPN
cana-6155	64	36	̇	̇	NOUN
cana-6155	64	37	�	�	PROPN
cana-6155	64	38	2	2	NUM
cana-6155	64	39	𝐴2	𝐴2	NOUN
cana-6155	64	40	+	+	CCONJ
cana-6155	64	41	3	3	NUM
cana-6155	64	42	�	�	PROPN
cana-6155	64	43	̇	̇	PROPN
cana-6155	64	44	�	�	PROPN
cana-6155	64	45	�	�	PROPN
cana-6155	64	46	̇	̇	VERB
cana-6155	64	47	�	�	PROPN
cana-6155	64	48	𝐴𝐵	𝐴𝐵	NOUN
cana-6155	64	49	=	=	PUNCT
cana-6155	64	50	−8𝜋(𝜌𝐵	−8𝜋(𝜌𝐵	PUNCT
cana-6155	64	51	+	+	NUM
cana-6155	64	52	𝜌𝐷	𝜌𝐷	NOUN
cana-6155	64	53	)	)	PUNCT
cana-6155	64	54	+	+	CCONJ
cana-6155	64	55	3	3	NUM
cana-6155	64	56	4	4	NUM
cana-6155	64	57	𝛽2	𝛽2	NOUN
cana-6155	64	58	(	(	PUNCT
cana-6155	64	59	10	10	NUM
cana-6155	64	60	)	)	PUNCT
cana-6155	64	61	the	the	DET
cana-6155	64	62	energy	energy	NOUN
cana-6155	64	63	conservation	conservation	NOUN
cana-6155	64	64	equation	equation	NOUN
cana-6155	64	65	𝑇𝑖	𝑇𝑖	PROPN
cana-6155	64	66	;	;	PUNCT
cana-6155	64	67	𝑗	𝑗	PRON
cana-6155	64	68	𝑗	𝑗	NOUN
cana-6155	64	69	=	=	SYM
cana-6155	64	70	0	0	NUM
cana-6155	64	71	gives	give	NOUN
cana-6155	64	72	,	,	PUNCT
cana-6155	64	73	(	(	PUNCT
cana-6155	64	74	𝜌	𝜌	X
cana-6155	64	75	�	�	X
cana-6155	64	76	̇	̇	VERB
cana-6155	64	77	�	�	PROPN
cana-6155	64	78	+	+	CCONJ
cana-6155	64	79	𝜌	𝜌	PROPN
cana-6155	64	80	�	�	PROPN
cana-6155	64	81	̇	̇	NOUN
cana-6155	64	82	�	�	PROPN
cana-6155	64	83	)	)	PUNCT
cana-6155	64	84	+	+	CCONJ
cana-6155	64	85	(	(	PUNCT
cana-6155	64	86	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	64	87	+	+	NUM
cana-6155	64	88	𝜌𝐷	𝜌𝐷	NOUN
cana-6155	64	89	+	+	ADJ
cana-6155	64	90	𝑝𝐵	𝑝𝐵	NOUN
cana-6155	64	91	+	+	X
cana-6155	64	92	𝑝𝐷	𝑝𝐷	NOUN
cana-6155	64	93	)	)	PUNCT
cana-6155	64	94	(	(	PUNCT
cana-6155	64	95	3	3	NUM
cana-6155	64	96	�	�	NOUN
cana-6155	64	97	̇	̇	VERB
cana-6155	64	98	�	�	PROPN
cana-6155	64	99	𝐴	𝐴	PROPN
cana-6155	64	100	+	+	CCONJ
cana-6155	64	101	�	�	PROPN
cana-6155	64	102	̇	̇	VERB
cana-6155	64	103	�	�	PROPN
cana-6155	64	104	𝐵	𝐵	PROPN
cana-6155	64	105	)	)	PUNCT
cana-6155	65	1	=	=	SYM
cana-6155	65	2	0	0	PUNCT
cana-6155	65	3	(	(	PUNCT
cana-6155	65	4	11	11	NUM
cana-6155	65	5	)	)	PUNCT
cana-6155	65	6	and	and	CCONJ
cana-6155	65	7	(	(	PUNCT
cana-6155	65	8	𝑅𝑖	𝑅𝑖	PROPN
cana-6155	65	9	𝑗	𝑗	INTJ
cana-6155	65	10	−	−	NUM
cana-6155	65	11	1	1	NUM
cana-6155	65	12	2	2	NUM
cana-6155	65	13	𝑅𝑔𝑖	𝑅𝑔𝑖	NOUN
cana-6155	65	14	𝑗	𝑗	NOUN
cana-6155	65	15	)	)	PUNCT
cana-6155	65	16	;	;	PUNCT
cana-6155	65	17	𝑗	𝑗	X
cana-6155	66	1	+	+	NUM
cana-6155	66	2	3	3	NUM
cana-6155	66	3	2	2	NUM
cana-6155	66	4	(	(	PUNCT
cana-6155	66	5	𝜙𝑖𝜙	𝜙𝑖𝜙	INTJ
cana-6155	66	6	𝑗);𝑗	𝑗);𝑗	NOUN
cana-6155	66	7	−	−	NOUN
cana-6155	66	8	3	3	NUM
cana-6155	66	9	4	4	NUM
cana-6155	66	10	(	(	PUNCT
cana-6155	66	11	𝜙𝑎𝜙𝑎𝑔𝑖	𝜙𝑎𝜙𝑎𝑔𝑖	NOUN
cana-6155	66	12	𝑗	𝑗	PROPN
cana-6155	66	13	)	)	PUNCT
cana-6155	66	14	;	;	PUNCT
cana-6155	66	15	𝑗	𝑗	X
cana-6155	66	16	=	=	SYM
cana-6155	66	17	0	0	NUM
cana-6155	66	18	(	(	PUNCT
cana-6155	66	19	12	12	NUM
cana-6155	66	20	)	)	PUNCT
cana-6155	66	21	equation	equation	NOUN
cana-6155	66	22	(	(	PUNCT
cana-6155	66	23	10	10	NUM
cana-6155	66	24	)	)	PUNCT
cana-6155	66	25	gives	give	VERB
cana-6155	66	26	,	,	PUNCT
cana-6155	66	27	3	3	NUM
cana-6155	66	28	2	2	NUM
cana-6155	66	29	𝛽	𝛽	NOUN
cana-6155	66	30	�	�	PROPN
cana-6155	66	31	̇	̇	NOUN
cana-6155	66	32	�	�	PROPN
cana-6155	66	33	+	+	CCONJ
cana-6155	66	34	3	3	NUM
cana-6155	66	35	2	2	NUM
cana-6155	66	36	𝛽2	𝛽2	NOUN
cana-6155	66	37	(	(	PUNCT
cana-6155	66	38	3	3	NUM
cana-6155	66	39	�	�	PROPN
cana-6155	66	40	̇	̇	VERB
cana-6155	66	41	�	�	PROPN
cana-6155	66	42	𝐴	𝐴	PROPN
cana-6155	66	43	+	+	CCONJ
cana-6155	66	44	�	�	PROPN
cana-6155	66	45	̇	̇	VERB
cana-6155	66	46	�	�	PROPN
cana-6155	66	47	𝐵	𝐵	PROPN
cana-6155	66	48	)	)	PUNCT
cana-6155	67	1	=	=	SYM
cana-6155	67	2	0	0	PUNCT
cana-6155	67	3	(	(	PUNCT
cana-6155	67	4	13	13	NUM
cana-6155	67	5	)	)	PUNCT
cana-6155	67	6	3	3	NUM
cana-6155	67	7	.	.	PUNCT
cana-6155	67	8	solution	solution	NOUN
cana-6155	67	9	of	of	ADP
cana-6155	67	10	the	the	DET
cana-6155	67	11	field	field	NOUN
cana-6155	67	12	equations	equation	NOUN
cana-6155	67	13	:	:	PUNCT
cana-6155	67	14	equations	equation	NOUN
cana-6155	67	15	(	(	PUNCT
cana-6155	67	16	6)-(9	6)-(9	NOUN
cana-6155	67	17	)	)	PUNCT
cana-6155	67	18	and	and	CCONJ
cana-6155	67	19	(	(	PUNCT
cana-6155	67	20	11	11	NUM
cana-6155	67	21	)	)	PUNCT
cana-6155	67	22	are	be	AUX
cana-6155	67	23	five	five	NUM
cana-6155	67	24	equations	equation	NOUN
cana-6155	67	25	with	with	ADP
cana-6155	67	26	seven	seven	NUM
cana-6155	67	27	unknowns	unknown	NOUN
cana-6155	67	28	𝐴	𝐴	PROPN
cana-6155	67	29	,	,	PUNCT
cana-6155	67	30	𝐵	𝐵	NOUN
cana-6155	67	31	,	,	PUNCT
cana-6155	67	32	𝑝𝐵	𝑝𝐵	PROPN
cana-6155	67	33	,	,	PUNCT
cana-6155	67	34	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	67	35	,	,	PUNCT
cana-6155	67	36	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	67	37	,	,	PUNCT
cana-6155	67	38	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	67	39	and	and	CCONJ
cana-6155	67	40	𝛽.	𝛽.	NOUN
cana-6155	67	41	to	to	PART
cana-6155	67	42	obtain	obtain	VERB
cana-6155	67	43	a	a	DET
cana-6155	67	44	solution	solution	NOUN
cana-6155	67	45	of	of	ADP
cana-6155	67	46	the	the	DET
cana-6155	67	47	field	field	NOUN
cana-6155	67	48	equations	equation	NOUN
cana-6155	67	49	,	,	PUNCT
cana-6155	67	50	we	we	PRON
cana-6155	67	51	assume	assume	VERB
cana-6155	67	52	that	that	SCONJ
cana-6155	67	53	the	the	DET
cana-6155	67	54	shear	shear	NOUN
cana-6155	67	55	scalar	scalar	ADJ
cana-6155	67	56	(	(	PUNCT
cana-6155	67	57	𝜎	𝜎	X
cana-6155	67	58	)	)	PUNCT
cana-6155	67	59	in	in	ADP
cana-6155	67	60	these	these	DET
cana-6155	67	61	models	model	NOUN
cana-6155	67	62	is	be	AUX
cana-6155	67	63	proportional	proportional	ADJ
cana-6155	67	64	to	to	ADP
cana-6155	67	65	expansion	expansion	NOUN
cana-6155	67	66	scalar	scalar	NOUN
cana-6155	67	67	(	(	PUNCT
cana-6155	67	68	𝜃	𝜃	NOUN
cana-6155	67	69	)	)	PUNCT
cana-6155	67	70	.	.	PUNCT
cana-6155	68	1	this	this	DET
cana-6155	68	2	condition	condition	NOUN
cana-6155	68	3	leads	lead	VERB
cana-6155	68	4	to	to	ADP
cana-6155	68	5	,	,	PUNCT
cana-6155	68	6	𝐴	𝐴	PROPN
cana-6155	68	7	=	=	SYM
cana-6155	68	8	𝐵𝑛	𝐵𝑛	PROPN
cana-6155	68	9	(	(	PUNCT
cana-6155	68	10	14	14	NUM
cana-6155	68	11	)	)	PUNCT
cana-6155	68	12	where	where	SCONJ
cana-6155	68	13	𝐴	𝐴	PROPN
cana-6155	68	14	and	and	CCONJ
cana-6155	68	15	𝐵	𝐵	PROPN
cana-6155	68	16	are	be	AUX
cana-6155	68	17	the	the	DET
cana-6155	68	18	metric	metric	ADJ
cana-6155	68	19	potentials	potential	NOUN
cana-6155	68	20	and	and	CCONJ
cana-6155	68	21	𝑛	𝑛	PRON
cana-6155	68	22	is	be	AUX
cana-6155	68	23	an	an	DET
cana-6155	68	24	arbitrary	arbitrary	ADJ
cana-6155	68	25	constant	constant	ADJ
cana-6155	68	26	.	.	PUNCT
cana-6155	69	1	then	then	ADV
cana-6155	69	2	,	,	PUNCT
cana-6155	69	3	from	from	ADP
cana-6155	69	4	the	the	DET
cana-6155	69	5	field	field	NOUN
cana-6155	69	6	equations	equation	NOUN
cana-6155	69	7	,	,	PUNCT
cana-6155	69	8	we	we	PRON
cana-6155	69	9	get	get	VERB
cana-6155	69	10	𝐴	𝐴	NOUN
cana-6155	69	11	=	=	PUNCT
cana-6155	70	1	𝑐1𝑡	𝑐1𝑡	NUM
cana-6155	70	2	𝑛	𝑛	PRON
cana-6155	70	3	3𝑛−1	3𝑛−1	NUM
cana-6155	70	4	(	(	PUNCT
cana-6155	70	5	15	15	NUM
cana-6155	70	6	)	)	PUNCT
cana-6155	70	7	𝐵	𝐵	NOUN
cana-6155	70	8	=	=	NOUN
cana-6155	70	9	𝑐2𝑡	𝑐2𝑡	VERB
cana-6155	70	10	1	1	NUM
cana-6155	70	11	3𝑛−1	3𝑛−1	NUM
cana-6155	70	12	(	(	PUNCT
cana-6155	70	13	16	16	NUM
cana-6155	70	14	)	)	PUNCT
cana-6155	70	15	where	where	SCONJ
cana-6155	70	16	𝑐1	𝑐1	NOUN
cana-6155	70	17	and	and	CCONJ
cana-6155	70	18	𝑐2	𝑐2	NOUN
cana-6155	70	19	are	be	AUX
cana-6155	70	20	constants	constant	NOUN
cana-6155	70	21	.	.	PUNCT
cana-6155	71	1	using	use	VERB
cana-6155	71	2	equation	equation	NOUN
cana-6155	71	3	(	(	PUNCT
cana-6155	71	4	15	15	NUM
cana-6155	71	5	)	)	PUNCT
cana-6155	71	6	and	and	CCONJ
cana-6155	71	7	(	(	PUNCT
cana-6155	71	8	16	16	NUM
cana-6155	71	9	)	)	PUNCT
cana-6155	71	10	in	in	ADP
cana-6155	71	11	equation	equation	NOUN
cana-6155	71	12	(	(	PUNCT
cana-6155	71	13	1	1	NUM
cana-6155	71	14	)	)	PUNCT
cana-6155	71	15	,	,	PUNCT
cana-6155	71	16	the	the	DET
cana-6155	71	17	line	line	NOUN
cana-6155	71	18	element	element	NOUN
cana-6155	71	19	can	can	AUX
cana-6155	71	20	now	now	ADV
cana-6155	71	21	be	be	AUX
cana-6155	71	22	written	write	VERB
cana-6155	71	23	as	as	ADP
cana-6155	71	24	𝑑𝑠2	𝑑𝑠2	NOUN
cana-6155	71	25	=	=	SYM
cana-6155	71	26	𝑑𝑡2	𝑑𝑡2	NOUN
cana-6155	71	27	−	−	NOUN
cana-6155	71	28	𝑐1	𝑐1	NOUN
cana-6155	71	29	2𝑡	2𝑡	NUM
cana-6155	71	30	2𝑛	2𝑛	PROPN
cana-6155	71	31	3𝑛−1	3𝑛−1	NUM
cana-6155	71	32	(	(	PUNCT
cana-6155	71	33	𝑑𝑥2	𝑑𝑥2	NOUN
cana-6155	71	34	+	+	CCONJ
cana-6155	71	35	𝑑𝑦2	𝑑𝑦2	X
cana-6155	71	36	+	+	SYM
cana-6155	71	37	𝑑𝑧2	𝑑𝑧2	NOUN
cana-6155	71	38	)	)	PUNCT
cana-6155	72	1	−	−	NOUN
cana-6155	72	2	𝑐2	𝑐2	NOUN
cana-6155	72	3	2𝑡	2𝑡	NOUN
cana-6155	72	4	2	2	NUM
cana-6155	72	5	3𝑛−1𝑑𝜓2	3𝑛−1𝑑𝜓2	NUM
cana-6155	72	6	(	(	PUNCT
cana-6155	72	7	17	17	NUM
cana-6155	72	8	)	)	PUNCT
cana-6155	72	9	communications	communication	NOUN
cana-6155	72	10	on	on	ADP
cana-6155	72	11	applied	apply	VERB
cana-6155	72	12	nonlinear	nonlinear	ADJ
cana-6155	72	13	analysis	analysis	NOUN
cana-6155	72	14	issn	issn	NOUN
cana-6155	72	15	:	:	PUNCT
cana-6155	72	16	1074	1074	NUM
cana-6155	72	17	-	-	PUNCT
cana-6155	72	18	133x	133x	NUM
cana-6155	72	19	vol	vol	NOUN
cana-6155	72	20	31	31	NUM
cana-6155	72	21	no	no	NOUN
cana-6155	72	22	.	.	PUNCT
cana-6155	73	1	8s	8s	PROPN
cana-6155	73	2	(	(	PUNCT
cana-6155	73	3	2024	2024	NUM
cana-6155	73	4	)	)	PUNCT
cana-6155	73	5	1215	1215	NUM
cana-6155	73	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	74	1	the	the	DET
cana-6155	74	2	physical	physical	ADJ
cana-6155	74	3	parameters	parameter	NOUN
cana-6155	74	4	of	of	ADP
cana-6155	74	5	the	the	DET
cana-6155	74	6	model	model	NOUN
cana-6155	74	7	,	,	PUNCT
cana-6155	74	8	like	like	ADP
cana-6155	74	9	spatial	spatial	ADJ
cana-6155	74	10	volume	volume	NOUN
cana-6155	74	11	(	(	PUNCT
cana-6155	74	12	𝑉	𝑉	PROPN
cana-6155	74	13	)	)	PUNCT
cana-6155	74	14	,	,	PUNCT
cana-6155	74	15	hubble	hubble	ADJ
cana-6155	74	16	parameter	parameter	NOUN
cana-6155	74	17	(	(	PUNCT
cana-6155	74	18	𝐻	𝐻	PROPN
cana-6155	74	19	)	)	PUNCT
cana-6155	74	20	,	,	PUNCT
cana-6155	74	21	expansion	expansion	NOUN
cana-6155	74	22	scalar	scalar	NOUN
cana-6155	74	23	(	(	PUNCT
cana-6155	74	24	𝜃	𝜃	NOUN
cana-6155	74	25	)	)	PUNCT
cana-6155	74	26	,	,	PUNCT
cana-6155	74	27	shear	shear	NOUN
cana-6155	74	28	scalar	scalar	ADJ
cana-6155	74	29	(	(	PUNCT
cana-6155	74	30	𝜎2	𝜎2	NOUN
cana-6155	74	31	)	)	PUNCT
cana-6155	74	32	,	,	PUNCT
cana-6155	74	33	anisotropic	anisotropic	NOUN
cana-6155	74	34	parameter	parameter	NOUN
cana-6155	74	35	(	(	PUNCT
cana-6155	74	36	∆	∆	X
cana-6155	74	37	)	)	PUNCT
cana-6155	74	38	and	and	CCONJ
cana-6155	74	39	deceleration	deceleration	NOUN
cana-6155	74	40	parameter	parameter	NOUN
cana-6155	74	41	(	(	PUNCT
cana-6155	74	42	𝑞	𝑞	PROPN
cana-6155	74	43	)	)	PUNCT
cana-6155	74	44	,	,	PUNCT
cana-6155	74	45	are	be	AUX
cana-6155	74	46	given	give	VERB
cana-6155	74	47	by	by	ADP
cana-6155	74	48	,	,	PUNCT
cana-6155	74	49	𝑉	𝑉	PROPN
cana-6155	74	50	=	=	NOUN
cana-6155	74	51	𝑐𝑡	𝑐𝑡	ADP
cana-6155	74	52	𝑛	𝑛	PRON
cana-6155	74	53	3𝑛−1	3𝑛−1	NUM
cana-6155	74	54	(	(	PUNCT
cana-6155	74	55	18	18	NUM
cana-6155	74	56	)	)	PUNCT
cana-6155	74	57	𝐻	𝐻	NOUN
cana-6155	74	58	=	=	SYM
cana-6155	74	59	1	1	NUM
cana-6155	74	60	4	4	NUM
cana-6155	74	61	3𝑛	3𝑛	NUM
cana-6155	74	62	+	+	CCONJ
cana-6155	74	63	1	1	NUM
cana-6155	74	64	3𝑛	3𝑛	NUM
cana-6155	74	65	−	−	NOUN
cana-6155	74	66	1	1	NUM
cana-6155	74	67	1	1	NUM
cana-6155	74	68	𝑡	𝑡	NOUN
cana-6155	74	69	(	(	PUNCT
cana-6155	74	70	19	19	NUM
cana-6155	74	71	)	)	PUNCT
cana-6155	74	72	𝜃	𝜃	NOUN
cana-6155	74	73	=	=	SYM
cana-6155	74	74	4𝐻	4𝐻	NOUN
cana-6155	74	75	=	=	PUNCT
cana-6155	74	76	3𝑛	3𝑛	NUM
cana-6155	74	77	+	+	CCONJ
cana-6155	74	78	1	1	NUM
cana-6155	74	79	3𝑛	3𝑛	NUM
cana-6155	74	80	−	−	NOUN
cana-6155	74	81	1	1	NUM
cana-6155	74	82	1	1	NUM
cana-6155	74	83	𝑡	𝑡	NOUN
cana-6155	74	84	(	(	PUNCT
cana-6155	74	85	20	20	NUM
cana-6155	74	86	)	)	PUNCT
cana-6155	74	87	∆=	∆=	NOUN
cana-6155	74	88	3(𝑛	3(𝑛	NUM
cana-6155	74	89	−	−	PROPN
cana-6155	75	1	1)2	1)2	NUM
cana-6155	75	2	(	(	PUNCT
cana-6155	75	3	3𝑛	3𝑛	NUM
cana-6155	75	4	−	−	PROPN
cana-6155	75	5	1)2	1)2	NUM
cana-6155	75	6	(	(	PUNCT
cana-6155	75	7	21	21	NUM
cana-6155	75	8	)	)	PUNCT
cana-6155	75	9	𝜎2	𝜎2	NOUN
cana-6155	75	10	=	=	PUNCT
cana-6155	75	11	3	3	NUM
cana-6155	75	12	8	8	NUM
cana-6155	75	13	(	(	PUNCT
cana-6155	75	14	𝑛	𝑛	PROPN
cana-6155	75	15	−	−	PROPN
cana-6155	75	16	1)2	1)2	NUM
cana-6155	75	17	(	(	PUNCT
cana-6155	75	18	3𝑛	3𝑛	NUM
cana-6155	75	19	−	−	PROPN
cana-6155	75	20	1)2	1)2	NUM
cana-6155	75	21	1	1	NUM
cana-6155	75	22	𝑡2	𝑡2	NOUN
cana-6155	75	23	(	(	PUNCT
cana-6155	75	24	22	22	NUM
cana-6155	75	25	)	)	PUNCT
cana-6155	75	26	𝑞	𝑞	NOUN
cana-6155	75	27	=	=	X
cana-6155	75	28	9𝑛	9𝑛	VERB
cana-6155	75	29	−	−	NOUN
cana-6155	75	30	5	5	NUM
cana-6155	75	31	3𝑛	3𝑛	NUM
cana-6155	75	32	+	+	CCONJ
cana-6155	75	33	1	1	NUM
cana-6155	75	34	(	(	PUNCT
cana-6155	75	35	23	23	NUM
cana-6155	75	36	)	)	PUNCT
cana-6155	75	37	𝛽	𝛽	NOUN
cana-6155	75	38	=	=	SYM
cana-6155	75	39	1	1	NUM
cana-6155	75	40	𝐴3𝐵	𝐴3𝐵	X
cana-6155	75	41	=	=	SYM
cana-6155	75	42	𝑐𝑡−	𝑐𝑡−	NUM
cana-6155	75	43	3𝑛+1	3𝑛+1	NUM
cana-6155	75	44	3𝑛−1	3𝑛−1	NUM
cana-6155	75	45	(	(	PUNCT
cana-6155	75	46	24	24	NUM
cana-6155	75	47	)	)	PUNCT
cana-6155	75	48	lim	lim	NOUN
cana-6155	75	49	𝑡→∞	𝑡→∞	NUM
cana-6155	75	50	𝜎2	𝜎2	PROPN
cana-6155	75	51	𝜃2	𝜃2	NOUN
cana-6155	75	52	=	=	NOUN
cana-6155	75	53	3(𝑛	3(𝑛	NUM
cana-6155	75	54	−	−	NUM
cana-6155	75	55	1)2	1)2	NUM
cana-6155	75	56	8(3𝑛	8(3𝑛	NUM
cana-6155	76	1	+	+	CCONJ
cana-6155	76	2	1)2	1)2	NUM
cana-6155	76	3	≠	≠	NOUN
cana-6155	76	4	0	0	NUM
cana-6155	76	5	(	(	PUNCT
cana-6155	76	6	26	26	NUM
cana-6155	76	7	)	)	PUNCT
cana-6155	76	8	graphs	graph	NOUN
cana-6155	76	9	of	of	ADP
cana-6155	76	10	physical	physical	ADJ
cana-6155	76	11	parameters	parameter	NOUN
cana-6155	76	12	are	be	AUX
cana-6155	76	13	drawn	draw	VERB
cana-6155	76	14	below	below	ADP
cana-6155	76	15	.	.	PUNCT
cana-6155	77	1	fig	fig	NOUN
cana-6155	77	2	.	.	PUNCT
cana-6155	78	1	1	1	X
cana-6155	78	2	.	.	X
cana-6155	78	3	graph	graph	NOUN
cana-6155	78	4	of	of	ADP
cana-6155	78	5	spatial	spatial	ADJ
cana-6155	78	6	volume	volume	NOUN
cana-6155	78	7	(	(	PUNCT
cana-6155	78	8	𝑉	𝑉	PROPN
cana-6155	78	9	)	)	PUNCT
cana-6155	78	10	versus	versus	ADP
cana-6155	78	11	time	time	NOUN
cana-6155	78	12	(	(	PUNCT
cana-6155	78	13	𝑡	𝑡	NOUN
cana-6155	78	14	)	)	PUNCT
cana-6155	78	15	communications	communication	NOUN
cana-6155	78	16	on	on	ADP
cana-6155	78	17	applied	apply	VERB
cana-6155	78	18	nonlinear	nonlinear	ADJ
cana-6155	78	19	analysis	analysis	NOUN
cana-6155	78	20	issn	issn	NOUN
cana-6155	78	21	:	:	PUNCT
cana-6155	78	22	1074	1074	NUM
cana-6155	78	23	-	-	PUNCT
cana-6155	78	24	133x	133x	NUM
cana-6155	78	25	vol	vol	NOUN
cana-6155	78	26	31	31	NUM
cana-6155	78	27	no	no	NOUN
cana-6155	78	28	.	.	PUNCT
cana-6155	79	1	8s	8s	PROPN
cana-6155	79	2	(	(	PUNCT
cana-6155	79	3	2024	2024	NUM
cana-6155	79	4	)	)	PUNCT
cana-6155	79	5	1216	1216	NUM
cana-6155	79	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	79	7	fig	fig	NOUN
cana-6155	79	8	.	.	PUNCT
cana-6155	80	1	2	2	X
cana-6155	80	2	.	.	X
cana-6155	80	3	graph	graph	NOUN
cana-6155	80	4	of	of	ADP
cana-6155	80	5	hubble	hubble	ADJ
cana-6155	80	6	parameter	parameter	NOUN
cana-6155	80	7	(	(	PUNCT
cana-6155	80	8	𝐻	𝐻	NOUN
cana-6155	80	9	)	)	PUNCT
cana-6155	80	10	versus	versus	ADP
cana-6155	80	11	time	time	NOUN
cana-6155	80	12	(	(	PUNCT
cana-6155	80	13	𝑡	𝑡	NOUN
cana-6155	80	14	)	)	PUNCT
cana-6155	80	15	fig	fig	NOUN
cana-6155	80	16	.	.	PUNCT
cana-6155	81	1	3	3	X
cana-6155	81	2	.	.	X
cana-6155	81	3	graph	graph	NOUN
cana-6155	81	4	of	of	ADP
cana-6155	81	5	expansion	expansion	NOUN
cana-6155	81	6	scalar	scalar	ADJ
cana-6155	81	7	(	(	PUNCT
cana-6155	81	8	𝜃	𝜃	NOUN
cana-6155	81	9	)	)	PUNCT
cana-6155	81	10	versus	versus	ADP
cana-6155	81	11	cosmic	cosmic	ADJ
cana-6155	81	12	time	time	NOUN
cana-6155	81	13	(	(	PUNCT
cana-6155	81	14	𝑡	𝑡	NOUN
cana-6155	81	15	)	)	PUNCT
cana-6155	81	16	fig	fig	NOUN
cana-6155	81	17	.	.	PUNCT
cana-6155	82	1	4	4	X
cana-6155	82	2	.	.	X
cana-6155	82	3	graph	graph	NOUN
cana-6155	82	4	of	of	ADP
cana-6155	82	5	shear	shear	NOUN
cana-6155	82	6	scalar	scalar	ADJ
cana-6155	82	7	(	(	PUNCT
cana-6155	82	8	𝜎2	𝜎2	NOUN
cana-6155	82	9	)	)	PUNCT
cana-6155	82	10	versus	versus	ADP
cana-6155	82	11	cosmic	cosmic	ADJ
cana-6155	82	12	time	time	NOUN
cana-6155	82	13	(	(	PUNCT
cana-6155	82	14	𝑡	𝑡	NOUN
cana-6155	82	15	)	)	PUNCT
cana-6155	82	16	it	it	PRON
cana-6155	82	17	can	can	AUX
cana-6155	82	18	be	be	AUX
cana-6155	82	19	seen	see	VERB
cana-6155	82	20	from	from	ADP
cana-6155	82	21	fig	fig	NOUN
cana-6155	82	22	.	.	PUNCT
cana-6155	83	1	1	1	NUM
cana-6155	83	2	that	that	SCONJ
cana-6155	83	3	the	the	DET
cana-6155	83	4	spatial	spatial	ADJ
cana-6155	83	5	volume	volume	NOUN
cana-6155	83	6	𝑉	𝑉	PROPN
cana-6155	83	7	=	=	NOUN
cana-6155	83	8	0	0	NUM
cana-6155	83	9	𝑡	𝑡	PROPN
cana-6155	83	10	=	=	NOUN
cana-6155	83	11	0	0	PUNCT
cana-6155	84	1	and	and	CCONJ
cana-6155	84	2	it	it	PRON
cana-6155	84	3	increases	increase	VERB
cana-6155	84	4	with	with	ADP
cana-6155	84	5	time	time	NOUN
cana-6155	84	6	and	and	CCONJ
cana-6155	84	7	tends	tend	VERB
cana-6155	84	8	to	to	PART
cana-6155	84	9	infinity	infinity	VERB
cana-6155	84	10	as	as	ADP
cana-6155	84	11	𝑡	𝑡	PROPN
cana-6155	84	12	→	→	SYM
cana-6155	84	13	∞.	∞.	PROPN
cana-6155	84	14	fig	fig	NOUN
cana-6155	84	15	.	.	PUNCT
cana-6155	85	1	2	2	NUM
cana-6155	85	2	shows	show	VERB
cana-6155	85	3	that	that	SCONJ
cana-6155	85	4	the	the	DET
cana-6155	85	5	hubble	hubble	ADJ
cana-6155	85	6	parameter	parameter	NOUN
cana-6155	85	7	(	(	PUNCT
cana-6155	85	8	𝐻	𝐻	NOUN
cana-6155	85	9	)	)	PUNCT
cana-6155	85	10	diverges	diverge	VERB
cana-6155	85	11	for	for	ADP
cana-6155	85	12	the	the	DET
cana-6155	85	13	initial	initial	ADJ
cana-6155	85	14	time	time	NOUN
cana-6155	85	15	(	(	PUNCT
cana-6155	85	16	𝑡	𝑡	NOUN
cana-6155	85	17	)	)	PUNCT
cana-6155	85	18	,	,	PUNCT
cana-6155	85	19	and	and	CCONJ
cana-6155	85	20	it	it	PRON
cana-6155	85	21	decreases	decrease	VERB
cana-6155	85	22	with	with	ADP
cana-6155	85	23	increasing	increase	VERB
cana-6155	85	24	time	time	NOUN
cana-6155	85	25	and	and	CCONJ
cana-6155	85	26	tends	tend	VERB
cana-6155	85	27	to	to	ADP
cana-6155	85	28	zero	zero	NUM
cana-6155	85	29	as	as	ADP
cana-6155	85	30	𝑡	𝑡	PROPN
cana-6155	85	31	→	→	SYM
cana-6155	85	32	∞.	∞.	PROPN
cana-6155	85	33	from	from	ADP
cana-6155	85	34	fig	fig	NOUN
cana-6155	85	35	.	.	PUNCT
cana-6155	86	1	3	3	NUM
cana-6155	86	2	,	,	PUNCT
cana-6155	86	3	the	the	DET
cana-6155	86	4	expansion	expansion	NOUN
cana-6155	86	5	scalar	scalar	NOUN
cana-6155	86	6	(	(	PUNCT
cana-6155	86	7	𝜃	𝜃	NOUN
cana-6155	86	8	)	)	PUNCT
cana-6155	86	9	diverges	diverge	VERB
cana-6155	86	10	for	for	ADP
cana-6155	86	11	initial	initial	ADJ
cana-6155	86	12	time	time	NOUN
cana-6155	86	13	(	(	PUNCT
cana-6155	86	14	𝑡	𝑡	NOUN
cana-6155	86	15	)	)	PUNCT
cana-6155	86	16	and	and	CCONJ
cana-6155	86	17	decreases	decrease	VERB
cana-6155	86	18	with	with	ADP
cana-6155	86	19	time	time	NOUN
cana-6155	86	20	tending	tend	VERB
cana-6155	86	21	to	to	ADP
cana-6155	86	22	zero	zero	NUM
cana-6155	86	23	as	as	ADP
cana-6155	86	24	𝑡	𝑡	PROPN
cana-6155	86	25	→	→	SYM
cana-6155	86	26	∞.	∞.	PROPN
cana-6155	86	27	from	from	ADP
cana-6155	86	28	fig	fig	NOUN
cana-6155	86	29	.	.	PUNCT
cana-6155	87	1	4	4	NUM
cana-6155	87	2	,	,	PUNCT
cana-6155	87	3	the	the	DET
cana-6155	87	4	shear	shear	NOUN
cana-6155	87	5	scalar	scalar	ADJ
cana-6155	87	6	(	(	PUNCT
cana-6155	87	7	𝜎2	𝜎2	NOUN
cana-6155	87	8	)	)	PUNCT
cana-6155	87	9	diverges	diverge	VERB
cana-6155	87	10	through	through	ADP
cana-6155	87	11	initial	initial	ADJ
cana-6155	87	12	time	time	NOUN
cana-6155	87	13	(	(	PUNCT
cana-6155	87	14	𝑡	𝑡	NOUN
cana-6155	87	15	)	)	PUNCT
cana-6155	87	16	and	and	CCONJ
cana-6155	87	17	decreases	decrease	VERB
cana-6155	87	18	over	over	ADP
cana-6155	87	19	time	time	NOUN
cana-6155	87	20	,	,	PUNCT
cana-6155	87	21	approaching	approach	VERB
cana-6155	87	22	zero	zero	NUM
cana-6155	87	23	as	as	SCONJ
cana-6155	87	24	𝑡	𝑡	PROPN
cana-6155	87	25	→	→	SYM
cana-6155	87	26	∞.	∞.	PROPN
cana-6155	87	27	further	far	ADV
cana-6155	87	28	we	we	PRON
cana-6155	87	29	consider	consider	VERB
cana-6155	87	30	two	two	NUM
cana-6155	87	31	conditions	condition	NOUN
cana-6155	87	32	of	of	ADP
cana-6155	87	33	the	the	DET
cana-6155	87	34	fluids	fluid	NOUN
cana-6155	87	35	:	:	PUNCT
cana-6155	87	36	a	a	X
cana-6155	87	37	)	)	PUNCT
cana-6155	87	38	non	non	ADJ
cana-6155	87	39	-	-	ADJ
cana-6155	87	40	interacting	interact	VERB
cana-6155	87	41	two	two	NUM
cana-6155	87	42	fluid	fluid	ADJ
cana-6155	87	43	model	model	NOUN
cana-6155	87	44	and	and	CCONJ
cana-6155	87	45	b	b	NOUN
cana-6155	87	46	)	)	PUNCT
cana-6155	87	47	interacting	interact	VERB
cana-6155	87	48	two	two	NUM
cana-6155	87	49	fluid	fluid	ADJ
cana-6155	87	50	model	model	NOUN
cana-6155	87	51	.	.	PUNCT
cana-6155	88	1	4.1	4.1	NUM
cana-6155	88	2	non	non	ADJ
cana-6155	88	3	-	-	ADJ
cana-6155	88	4	interacting	interact	VERB
cana-6155	88	5	two	two	NUM
cana-6155	88	6	fluid	fluid	ADJ
cana-6155	88	7	model	model	NOUN
cana-6155	88	8	communications	communication	NOUN
cana-6155	88	9	on	on	ADP
cana-6155	88	10	applied	apply	VERB
cana-6155	88	11	nonlinear	nonlinear	ADJ
cana-6155	88	12	analysis	analysis	NOUN
cana-6155	88	13	issn	issn	NOUN
cana-6155	88	14	:	:	PUNCT
cana-6155	88	15	1074	1074	NUM
cana-6155	88	16	-	-	PUNCT
cana-6155	88	17	133x	133x	NUM
cana-6155	88	18	vol	vol	NOUN
cana-6155	88	19	31	31	NUM
cana-6155	88	20	no	no	NOUN
cana-6155	88	21	.	.	PUNCT
cana-6155	89	1	8s	8s	PROPN
cana-6155	89	2	(	(	PUNCT
cana-6155	89	3	2024	2024	NUM
cana-6155	89	4	)	)	PUNCT
cana-6155	89	5	1217	1217	NUM
cana-6155	89	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	90	1	the	the	DET
cana-6155	90	2	conservation	conservation	NOUN
cana-6155	90	3	equation	equation	NOUN
cana-6155	90	4	for	for	ADP
cana-6155	90	5	the	the	DET
cana-6155	90	6	barotropic	barotropic	ADJ
cana-6155	90	7	fluid	fluid	NOUN
cana-6155	90	8	and	and	CCONJ
cana-6155	90	9	dark	dark	ADJ
cana-6155	90	10	energy	energy	NOUN
cana-6155	90	11	separately	separately	ADV
cana-6155	90	12	gives	give	VERB
cana-6155	90	13	,	,	PUNCT
cana-6155	90	14	𝜌	𝜌	PART
cana-6155	90	15	�	�	NOUN
cana-6155	90	16	̇	̇	VERB
cana-6155	90	17	�	�	PROPN
cana-6155	90	18	+	+	CCONJ
cana-6155	90	19	4𝐻(𝑝𝐵	4𝐻(𝑝𝐵	NUM
cana-6155	90	20	+	+	CCONJ
cana-6155	90	21	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	90	22	)	)	PUNCT
cana-6155	90	23	=	=	SYM
cana-6155	90	24	0	0	NUM
cana-6155	91	1	(	(	PUNCT
cana-6155	91	2	26	26	NUM
cana-6155	91	3	)	)	PUNCT
cana-6155	91	4	𝜌	𝜌	PART
cana-6155	91	5	�	�	PROPN
cana-6155	91	6	̇	̇	VERB
cana-6155	91	7	�	�	PROPN
cana-6155	91	8	+	+	CCONJ
cana-6155	91	9	4𝐻(𝑝𝐷	4𝐻(𝑝𝐷	NUM
cana-6155	91	10	+	+	CCONJ
cana-6155	91	11	𝜌𝐷	𝜌𝐷	NOUN
cana-6155	91	12	)	)	PUNCT
cana-6155	91	13	=	=	SYM
cana-6155	91	14	0	0	NUM
cana-6155	91	15	(	(	PUNCT
cana-6155	91	16	27	27	NUM
cana-6155	91	17	)	)	PUNCT
cana-6155	91	18	integrating	integrate	VERB
cana-6155	91	19	equation	equation	NOUN
cana-6155	91	20	(	(	PUNCT
cana-6155	91	21	26	26	NUM
cana-6155	91	22	)	)	PUNCT
cana-6155	91	23	,	,	PUNCT
cana-6155	91	24	we	we	PRON
cana-6155	91	25	get	get	VERB
cana-6155	91	26	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	91	27	=	=	SYM
cana-6155	91	28	𝑐1𝑡	𝑐1𝑡	NUM
cana-6155	91	29	−	−	PROPN
cana-6155	91	30	(	(	PUNCT
cana-6155	91	31	𝜔𝐵+1)(3𝑛+1	𝜔𝐵+1)(3𝑛+1	NOUN
cana-6155	91	32	)	)	PUNCT
cana-6155	91	33	(	(	PUNCT
cana-6155	91	34	3𝑛−1	3𝑛−1	NUM
cana-6155	91	35	)	)	PUNCT
cana-6155	91	36	(	(	PUNCT
cana-6155	91	37	28	28	NUM
cana-6155	91	38	)	)	PUNCT
cana-6155	91	39	substituting	substitute	VERB
cana-6155	91	40	value	value	NOUN
cana-6155	91	41	of	of	ADP
cana-6155	91	42	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	91	43	from	from	ADP
cana-6155	91	44	equation	equation	NOUN
cana-6155	91	45	(	(	PUNCT
cana-6155	91	46	28	28	NUM
cana-6155	91	47	)	)	PUNCT
cana-6155	91	48	in	in	ADP
cana-6155	91	49	equation	equation	NOUN
cana-6155	91	50	(	(	PUNCT
cana-6155	91	51	10	10	NUM
cana-6155	91	52	)	)	PUNCT
cana-6155	91	53	,	,	PUNCT
cana-6155	91	54	we	we	PRON
cana-6155	91	55	get	get	VERB
cana-6155	91	56	𝜌𝐷	𝜌𝐷	NOUN
cana-6155	91	57	=	=	X
cana-6155	91	58	3𝑛(𝑛	3𝑛(𝑛	NUM
cana-6155	92	1	+	+	CCONJ
cana-6155	92	2	1	1	NUM
cana-6155	92	3	)	)	PUNCT
cana-6155	92	4	(	(	PUNCT
cana-6155	92	5	3𝑛	3𝑛	NUM
cana-6155	92	6	−	−	PROPN
cana-6155	92	7	1)28𝜋	1)28𝜋	NUM
cana-6155	92	8	1	1	NUM
cana-6155	92	9	𝑡2	𝑡2	NOUN
cana-6155	92	10	−	−	PROPN
cana-6155	92	11	𝑐𝑡	𝑐𝑡	INTJ
cana-6155	92	12	−	−	PROPN
cana-6155	92	13	(	(	PUNCT
cana-6155	92	14	𝜔𝐵+1)(3𝑛+1	𝜔𝐵+1)(3𝑛+1	NOUN
cana-6155	92	15	)	)	PUNCT
cana-6155	92	16	(	(	PUNCT
cana-6155	92	17	3𝑛−1	3𝑛−1	NUM
cana-6155	92	18	)	)	PUNCT
cana-6155	92	19	+	+	CCONJ
cana-6155	92	20	3	3	NUM
cana-6155	92	21	32𝜋	32𝜋	NUM
cana-6155	92	22	𝑡	𝑡	ADP
cana-6155	92	23	−	−	PROPN
cana-6155	92	24	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	92	25	)	)	PUNCT
cana-6155	92	26	(	(	PUNCT
cana-6155	92	27	3𝑛−1	3𝑛−1	NUM
cana-6155	92	28	)	)	PUNCT
cana-6155	92	29	(	(	PUNCT
cana-6155	92	30	29	29	NUM
cana-6155	92	31	)	)	PUNCT
cana-6155	92	32	substituting	substitute	VERB
cana-6155	92	33	value	value	NOUN
cana-6155	92	34	of	of	ADP
cana-6155	92	35	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	92	36	in	in	ADP
cana-6155	92	37	(	(	PUNCT
cana-6155	92	38	27	27	NUM
cana-6155	92	39	)	)	PUNCT
cana-6155	92	40	,	,	PUNCT
cana-6155	92	41	we	we	PRON
cana-6155	92	42	get	get	VERB
cana-6155	92	43	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	92	44	=	=	SYM
cana-6155	92	45	9𝑛(𝑛2−1	9𝑛(𝑛2−1	PROPN
cana-6155	92	46	)	)	PUNCT
cana-6155	92	47	8𝜋(3𝑛−1)2(3𝑛+1	8𝜋(3𝑛−1)2(3𝑛+1	NUM
cana-6155	92	48	)	)	PUNCT
cana-6155	92	49	1	1	NUM
cana-6155	92	50	𝑡2	𝑡2	NOUN
cana-6155	92	51	−	−	PROPN
cana-6155	92	52	𝑐𝜔𝐵𝑡	𝑐𝜔𝐵𝑡	INTJ
cana-6155	92	53	−	−	X
cana-6155	92	54	(	(	PUNCT
cana-6155	92	55	𝜔𝐵+1)(3𝑛+1	𝜔𝐵+1)(3𝑛+1	NOUN
cana-6155	92	56	)	)	PUNCT
cana-6155	92	57	(	(	PUNCT
cana-6155	92	58	3𝑛−1	3𝑛−1	NUM
cana-6155	92	59	)	)	PUNCT
cana-6155	93	1	+	+	CCONJ
cana-6155	93	2	3	3	NUM
cana-6155	93	3	32𝜋	32𝜋	NUM
cana-6155	93	4	𝑡	𝑡	ADP
cana-6155	93	5	−	−	PROPN
cana-6155	93	6	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	93	7	)	)	PUNCT
cana-6155	93	8	(	(	PUNCT
cana-6155	93	9	3𝑛−1	3𝑛−1	NUM
cana-6155	93	10	)	)	PUNCT
cana-6155	93	11	(	(	PUNCT
cana-6155	93	12	30	30	NUM
cana-6155	93	13	)	)	PUNCT
cana-6155	93	14	𝜔𝐷	𝜔𝐷	NOUN
cana-6155	93	15	=	=	SYM
cana-6155	93	16	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	93	17	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	93	18	=	=	SYM
cana-6155	93	19	9𝑛(𝑛2	9𝑛(𝑛2	NUM
cana-6155	93	20	−	−	NOUN
cana-6155	93	21	1	1	NUM
cana-6155	93	22	)	)	PUNCT
cana-6155	93	23	8𝜋(3𝑛	8𝜋(3𝑛	NUM
cana-6155	93	24	−	−	PROPN
cana-6155	93	25	1)2(3𝑛	1)2(3𝑛	NUM
cana-6155	94	1	+	+	CCONJ
cana-6155	94	2	1	1	X
cana-6155	94	3	)	)	PUNCT
cana-6155	94	4	1	1	NUM
cana-6155	94	5	𝑡2	𝑡2	NOUN
cana-6155	94	6	−	−	PROPN
cana-6155	94	7	𝑐𝜔𝐵𝑡	𝑐𝜔𝐵𝑡	INTJ
cana-6155	94	8	−	−	X
cana-6155	94	9	(	(	PUNCT
cana-6155	94	10	𝜔𝐵+1)(3𝑛+1	𝜔𝐵+1)(3𝑛+1	NOUN
cana-6155	94	11	)	)	PUNCT
cana-6155	94	12	(	(	PUNCT
cana-6155	94	13	3𝑛−1	3𝑛−1	NUM
cana-6155	94	14	)	)	PUNCT
cana-6155	94	15	+	+	CCONJ
cana-6155	94	16	3	3	NUM
cana-6155	94	17	32𝜋	32𝜋	NUM
cana-6155	94	18	𝑡	𝑡	ADP
cana-6155	94	19	−	−	PROPN
cana-6155	94	20	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	94	21	)	)	PUNCT
cana-6155	94	22	(	(	PUNCT
cana-6155	94	23	3𝑛−1	3𝑛−1	NUM
cana-6155	94	24	)	)	PUNCT
cana-6155	94	25	3𝑛(𝑛	3𝑛(𝑛	PROPN
cana-6155	94	26	+	+	CCONJ
cana-6155	94	27	1	1	X
cana-6155	94	28	)	)	PUNCT
cana-6155	94	29	(	(	PUNCT
cana-6155	94	30	3𝑛	3𝑛	NUM
cana-6155	94	31	−	−	PROPN
cana-6155	94	32	1)28𝜋	1)28𝜋	NUM
cana-6155	94	33	1	1	NUM
cana-6155	94	34	𝑡2	𝑡2	NOUN
cana-6155	94	35	−	−	PROPN
cana-6155	94	36	𝑐𝑡	𝑐𝑡	INTJ
cana-6155	94	37	−	−	PROPN
cana-6155	94	38	(	(	PUNCT
cana-6155	94	39	𝜔𝐵+1)(3𝑛+1	𝜔𝐵+1)(3𝑛+1	NOUN
cana-6155	94	40	)	)	PUNCT
cana-6155	94	41	(	(	PUNCT
cana-6155	94	42	3𝑛−1	3𝑛−1	NUM
cana-6155	94	43	)	)	PUNCT
cana-6155	94	44	+	+	CCONJ
cana-6155	94	45	3	3	NUM
cana-6155	94	46	32𝜋	32𝜋	NUM
cana-6155	94	47	𝑡	𝑡	ADP
cana-6155	94	48	−	−	PROPN
cana-6155	94	49	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	94	50	)	)	PUNCT
cana-6155	94	51	(	(	PUNCT
cana-6155	94	52	3𝑛−1	3𝑛−1	NUM
cana-6155	94	53	)	)	PUNCT
cana-6155	94	54	(	(	PUNCT
cana-6155	94	55	31	31	NUM
cana-6155	94	56	)	)	PUNCT
cana-6155	94	57	the	the	DET
cana-6155	94	58	expressions	expression	NOUN
cana-6155	94	59	of	of	ADP
cana-6155	94	60	barotropic	barotropic	ADJ
cana-6155	94	61	fluid	fluid	NOUN
cana-6155	94	62	density	density	NOUN
cana-6155	94	63	parameter	parameter	NOUN
cana-6155	94	64	(	(	PUNCT
cana-6155	94	65	ω𝐵	ω𝐵	ADJ
cana-6155	94	66	)	)	PUNCT
cana-6155	94	67	and	and	CCONJ
cana-6155	94	68	dark	dark	ADJ
cana-6155	94	69	energy	energy	NOUN
cana-6155	94	70	density	density	NOUN
cana-6155	94	71	parameter	parameter	NOUN
cana-6155	94	72	(	(	PUNCT
cana-6155	94	73	ω𝐷	ω𝐷	NOUN
cana-6155	94	74	)	)	PUNCT
cana-6155	94	75	are	be	AUX
cana-6155	94	76	given	give	VERB
cana-6155	94	77	by	by	ADP
cana-6155	94	78	,	,	PUNCT
cana-6155	94	79	ω𝐵	ω𝐵	ADJ
cana-6155	94	80	=	=	SYM
cana-6155	94	81	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	94	82	6𝐻2	6𝐻2	NUM
cana-6155	94	83	=	=	SYM
cana-6155	94	84	8𝑐(3𝑛	8𝑐(3𝑛	NUM
cana-6155	94	85	−	−	PROPN
cana-6155	94	86	1)2	1)2	NUM
cana-6155	94	87	3(3𝑛	3(3𝑛	NUM
cana-6155	94	88	+	+	CCONJ
cana-6155	94	89	1)2	1)2	NUM
cana-6155	94	90	𝑡	𝑡	PROPN
cana-6155	94	91	2−	2−	NUM
cana-6155	94	92	(	(	PUNCT
cana-6155	94	93	𝜔𝐵+1)(3𝑛+1	𝜔𝐵+1)(3𝑛+1	NUM
cana-6155	94	94	)	)	PUNCT
cana-6155	94	95	(	(	PUNCT
cana-6155	94	96	3𝑛−1	3𝑛−1	NUM
cana-6155	94	97	)	)	PUNCT
cana-6155	94	98	(	(	PUNCT
cana-6155	94	99	32	32	NUM
cana-6155	94	100	)	)	PUNCT
cana-6155	94	101	ω𝐷	ω𝐷	PUNCT
cana-6155	95	1	=	=	PUNCT
cana-6155	95	2	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	95	3	6𝐻2	6𝐻2	NUM
cana-6155	95	4	=	=	PUNCT
cana-6155	95	5	𝑛(𝑛	𝑛(𝑛	PROPN
cana-6155	95	6	+	+	CCONJ
cana-6155	95	7	1	1	NUM
cana-6155	95	8	)	)	PUNCT
cana-6155	95	9	(	(	PUNCT
cana-6155	95	10	3𝑛	3𝑛	NUM
cana-6155	95	11	+	+	CCONJ
cana-6155	95	12	1)2	1)2	NUM
cana-6155	95	13	−	−	NOUN
cana-6155	95	14	8𝑐(3𝑛	8𝑐(3𝑛	NUM
cana-6155	95	15	−	−	PROPN
cana-6155	95	16	1)2	1)2	NUM
cana-6155	95	17	3(3𝑛	3(3𝑛	NUM
cana-6155	96	1	+	+	CCONJ
cana-6155	96	2	1)2	1)2	NUM
cana-6155	96	3	𝑡	𝑡	PROPN
cana-6155	96	4	2−	2−	NUM
cana-6155	96	5	(	(	PUNCT
cana-6155	96	6	𝜔𝐵+1)(3𝑛+1	𝜔𝐵+1)(3𝑛+1	NUM
cana-6155	96	7	)	)	PUNCT
cana-6155	96	8	(	(	PUNCT
cana-6155	96	9	3𝑛−1	3𝑛−1	NUM
cana-6155	96	10	)	)	PUNCT
cana-6155	96	11	+	+	CCONJ
cana-6155	96	12	(	(	PUNCT
cana-6155	96	13	3𝑛	3𝑛	NUM
cana-6155	96	14	−	−	PROPN
cana-6155	96	15	1)2	1)2	NUM
cana-6155	96	16	4𝜋(3𝑛	4𝜋(3𝑛	NUM
cana-6155	97	1	+	+	CCONJ
cana-6155	97	2	1)2	1)2	NUM
cana-6155	97	3	𝑡	𝑡	PROPN
cana-6155	97	4	2−	2−	NUM
cana-6155	97	5	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	97	6	)	)	PUNCT
cana-6155	97	7	(	(	PUNCT
cana-6155	97	8	3𝑛−1	3𝑛−1	NUM
cana-6155	97	9	)	)	PUNCT
cana-6155	97	10	(	(	PUNCT
cana-6155	97	11	33	33	NUM
cana-6155	97	12	)	)	PUNCT
cana-6155	97	13	the	the	DET
cana-6155	97	14	total	total	ADJ
cana-6155	97	15	energy	energy	NOUN
cana-6155	97	16	density	density	NOUN
cana-6155	97	17	(	(	PUNCT
cana-6155	97	18	ω	ω	NOUN
cana-6155	97	19	)	)	PUNCT
cana-6155	97	20	is	be	AUX
cana-6155	97	21	given	give	VERB
cana-6155	97	22	by	by	ADP
cana-6155	97	23	,	,	PUNCT
cana-6155	97	24	ω	ω	PROPN
cana-6155	97	25	=	=	PROPN
cana-6155	97	26	ω𝐵	ω𝐵	PROPN
cana-6155	97	27	+	+	X
cana-6155	97	28	ω𝐷	ω𝐷	PUNCT
cana-6155	97	29	=	=	PUNCT
cana-6155	97	30	𝑛(𝑛	𝑛(𝑛	PROPN
cana-6155	97	31	+	+	CCONJ
cana-6155	97	32	1	1	X
cana-6155	97	33	)	)	PUNCT
cana-6155	97	34	(	(	PUNCT
cana-6155	97	35	3𝑛	3𝑛	NUM
cana-6155	97	36	+	+	CCONJ
cana-6155	97	37	1)2	1)2	NUM
cana-6155	97	38	+	+	CCONJ
cana-6155	97	39	(	(	PUNCT
cana-6155	97	40	3𝑛	3𝑛	NUM
cana-6155	97	41	−	−	PROPN
cana-6155	97	42	1)2	1)2	NUM
cana-6155	97	43	4𝜋(3𝑛	4𝜋(3𝑛	NUM
cana-6155	98	1	+	+	CCONJ
cana-6155	98	2	1)2	1)2	NUM
cana-6155	98	3	𝑡	𝑡	PROPN
cana-6155	98	4	2−	2−	NUM
cana-6155	98	5	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	98	6	)	)	PUNCT
cana-6155	98	7	(	(	PUNCT
cana-6155	98	8	3𝑛−1	3𝑛−1	NUM
cana-6155	98	9	)	)	PUNCT
cana-6155	98	10	(	(	PUNCT
cana-6155	98	11	34	34	NUM
cana-6155	98	12	)	)	PUNCT
cana-6155	98	13	communications	communication	NOUN
cana-6155	98	14	on	on	ADP
cana-6155	98	15	applied	apply	VERB
cana-6155	98	16	nonlinear	nonlinear	ADJ
cana-6155	98	17	analysis	analysis	NOUN
cana-6155	98	18	issn	issn	NOUN
cana-6155	98	19	:	:	PUNCT
cana-6155	98	20	1074	1074	NUM
cana-6155	98	21	-	-	PUNCT
cana-6155	98	22	133x	133x	NUM
cana-6155	98	23	vol	vol	NOUN
cana-6155	98	24	31	31	NUM
cana-6155	98	25	no	no	NOUN
cana-6155	98	26	.	.	PUNCT
cana-6155	99	1	8s	8s	PROPN
cana-6155	99	2	(	(	PUNCT
cana-6155	99	3	2024	2024	NUM
cana-6155	99	4	)	)	PUNCT
cana-6155	99	5	1218	1218	NUM
cana-6155	99	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	99	7	fig	fig	NOUN
cana-6155	99	8	.	.	PUNCT
cana-6155	100	1	5	5	X
cana-6155	100	2	.	.	X
cana-6155	100	3	graph	graph	NOUN
cana-6155	100	4	of	of	ADP
cana-6155	100	5	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	100	6	versus	versus	ADP
cana-6155	100	7	cosmic	cosmic	ADJ
cana-6155	100	8	time	time	NOUN
cana-6155	100	9	(	(	PUNCT
cana-6155	100	10	𝑡	𝑡	NOUN
cana-6155	100	11	)	)	PUNCT
cana-6155	100	12	for	for	ADP
cana-6155	100	13	non	non	ADJ
cana-6155	100	14	-	-	ADJ
cana-6155	100	15	interacting	interact	VERB
cana-6155	100	16	two	two	NUM
cana-6155	100	17	fluid	fluid	ADJ
cana-6155	100	18	scenario	scenario	NOUN
cana-6155	100	19	.	.	PUNCT
cana-6155	101	1	fig	fig	NOUN
cana-6155	101	2	.	.	PUNCT
cana-6155	102	1	6	6	X
cana-6155	102	2	.	.	X
cana-6155	102	3	graph	graph	NOUN
cana-6155	102	4	of	of	ADP
cana-6155	102	5	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	102	6	versus	versus	ADP
cana-6155	102	7	cosmic	cosmic	ADJ
cana-6155	102	8	time	time	NOUN
cana-6155	102	9	(	(	PUNCT
cana-6155	102	10	𝑡	𝑡	NOUN
cana-6155	102	11	)	)	PUNCT
cana-6155	102	12	for	for	ADP
cana-6155	102	13	non	non	ADJ
cana-6155	102	14	-	-	ADJ
cana-6155	102	15	interacting	interact	VERB
cana-6155	102	16	two	two	NUM
cana-6155	102	17	fluid	fluid	ADJ
cana-6155	102	18	scenario	scenario	NOUN
cana-6155	102	19	.	.	PUNCT
cana-6155	103	1	fig	fig	NOUN
cana-6155	103	2	.	.	PUNCT
cana-6155	104	1	7	7	X
cana-6155	104	2	.	.	X
cana-6155	104	3	graph	graph	NOUN
cana-6155	104	4	of	of	ADP
cana-6155	104	5	𝑝𝐷	𝑝𝐷	PROPN
cana-6155	104	6	versus	versus	ADP
cana-6155	104	7	cosmic	cosmic	ADJ
cana-6155	104	8	time	time	NOUN
cana-6155	104	9	(	(	PUNCT
cana-6155	104	10	𝑡	𝑡	NOUN
cana-6155	104	11	)	)	PUNCT
cana-6155	104	12	for	for	ADP
cana-6155	104	13	non	non	ADJ
cana-6155	104	14	-	-	ADJ
cana-6155	104	15	interacting	interact	VERB
cana-6155	104	16	two	two	NUM
cana-6155	104	17	fluid	fluid	ADJ
cana-6155	104	18	scenario	scenario	NOUN
cana-6155	104	19	.	.	PUNCT
cana-6155	105	1	communications	communication	NOUN
cana-6155	105	2	on	on	ADP
cana-6155	105	3	applied	apply	VERB
cana-6155	105	4	nonlinear	nonlinear	ADJ
cana-6155	105	5	analysis	analysis	NOUN
cana-6155	105	6	issn	issn	NOUN
cana-6155	105	7	:	:	PUNCT
cana-6155	105	8	1074	1074	NUM
cana-6155	105	9	-	-	PUNCT
cana-6155	105	10	133x	133x	NUM
cana-6155	105	11	vol	vol	NOUN
cana-6155	105	12	31	31	NUM
cana-6155	105	13	no	no	NOUN
cana-6155	105	14	.	.	PUNCT
cana-6155	106	1	8s	8s	PROPN
cana-6155	106	2	(	(	PUNCT
cana-6155	106	3	2024	2024	NUM
cana-6155	106	4	)	)	PUNCT
cana-6155	106	5	1219	1219	NUM
cana-6155	106	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	106	7	fig	fig	NOUN
cana-6155	106	8	.	.	PUNCT
cana-6155	107	1	8	8	X
cana-6155	107	2	.	.	X
cana-6155	107	3	graph	graph	NOUN
cana-6155	107	4	of	of	ADP
cana-6155	107	5	𝜔𝐷	𝜔𝐷	PRON
cana-6155	107	6	versus	versus	ADP
cana-6155	107	7	cosmic	cosmic	ADJ
cana-6155	107	8	time	time	NOUN
cana-6155	107	9	(	(	PUNCT
cana-6155	107	10	𝑡	𝑡	NOUN
cana-6155	107	11	)	)	PUNCT
cana-6155	107	12	for	for	ADP
cana-6155	107	13	non	non	ADJ
cana-6155	107	14	-	-	ADJ
cana-6155	107	15	interacting	interact	VERB
cana-6155	107	16	two	two	NUM
cana-6155	107	17	fluid	fluid	ADJ
cana-6155	107	18	scenario	scenario	NOUN
cana-6155	107	19	.	.	PUNCT
cana-6155	108	1	for	for	ADP
cana-6155	108	2	non	non	ADJ
cana-6155	108	3	-	-	ADJ
cana-6155	108	4	interacting	interact	VERB
cana-6155	108	5	two	two	NUM
cana-6155	108	6	fluid	fluid	ADJ
cana-6155	108	7	model	model	NOUN
cana-6155	108	8	,	,	PUNCT
cana-6155	108	9	fig	fig	NOUN
cana-6155	108	10	.	.	PUNCT
cana-6155	108	11	5	5	NUM
cana-6155	108	12	,	,	PUNCT
cana-6155	108	13	shows	show	VERB
cana-6155	108	14	the	the	DET
cana-6155	108	15	graph	graph	NOUN
cana-6155	108	16	of	of	ADP
cana-6155	108	17	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	108	18	with	with	ADP
cana-6155	108	19	cosmic	cosmic	ADJ
cana-6155	108	20	time	time	NOUN
cana-6155	108	21	(	(	PUNCT
cana-6155	108	22	𝑡	𝑡	NOUN
cana-6155	108	23	)	)	PUNCT
cana-6155	108	24	.	.	PUNCT
cana-6155	109	1	it	it	PRON
cana-6155	109	2	can	can	AUX
cana-6155	109	3	be	be	AUX
cana-6155	109	4	observed	observe	VERB
cana-6155	109	5	that	that	SCONJ
cana-6155	109	6	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	109	7	diverges	diverge	NOUN
cana-6155	109	8	at	at	ADP
cana-6155	109	9	the	the	DET
cana-6155	109	10	initial	initial	ADJ
cana-6155	109	11	instant	instant	ADJ
cana-6155	109	12	(	(	PUNCT
cana-6155	109	13	𝑡	𝑡	NOUN
cana-6155	109	14	)	)	PUNCT
cana-6155	109	15	and	and	CCONJ
cana-6155	109	16	decreases	decrease	VERB
cana-6155	109	17	with	with	ADP
cana-6155	109	18	time	time	NOUN
cana-6155	109	19	,	,	PUNCT
cana-6155	109	20	and	and	CCONJ
cana-6155	109	21	tends	tend	VERB
cana-6155	109	22	to	to	ADP
cana-6155	109	23	zero	zero	NUM
cana-6155	109	24	as	as	ADP
cana-6155	109	25	𝑡	𝑡	PROPN
cana-6155	109	26	→	→	SYM
cana-6155	109	27	∞.	∞.	PROPN
cana-6155	109	28	fig	fig	NOUN
cana-6155	109	29	.	.	PUNCT
cana-6155	110	1	6	6	NUM
cana-6155	110	2	shows	show	VERB
cana-6155	110	3	that	that	SCONJ
cana-6155	110	4	the	the	DET
cana-6155	110	5	graph	graph	NOUN
cana-6155	110	6	of	of	ADP
cana-6155	110	7	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	110	8	diverges	diverge	NOUN
cana-6155	110	9	at	at	ADP
cana-6155	110	10	the	the	DET
cana-6155	110	11	initial	initial	ADJ
cana-6155	110	12	time	time	NOUN
cana-6155	110	13	(	(	PUNCT
cana-6155	110	14	𝑡	𝑡	NOUN
cana-6155	110	15	)	)	PUNCT
cana-6155	110	16	and	and	CCONJ
cana-6155	110	17	decreases	decrease	VERB
cana-6155	110	18	with	with	ADP
cana-6155	110	19	time	time	NOUN
cana-6155	110	20	,	,	PUNCT
cana-6155	110	21	tending	tend	VERB
cana-6155	110	22	to	to	ADP
cana-6155	110	23	zero	zero	NUM
cana-6155	110	24	as	as	ADP
cana-6155	110	25	𝑡	𝑡	PROPN
cana-6155	110	26	→	→	SYM
cana-6155	110	27	∞.	∞.	PROPN
cana-6155	110	28	fig	fig	NOUN
cana-6155	110	29	.	.	PUNCT
cana-6155	111	1	7	7	NUM
cana-6155	111	2	,	,	PUNCT
cana-6155	111	3	shows	show	VERB
cana-6155	111	4	the	the	DET
cana-6155	111	5	dark	dark	ADJ
cana-6155	111	6	energy	energy	NOUN
cana-6155	111	7	pressure	pressure	NOUN
cana-6155	111	8	(	(	PUNCT
cana-6155	111	9	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	111	10	)	)	PUNCT
cana-6155	111	11	diverging	diverge	VERB
cana-6155	111	12	at	at	ADP
cana-6155	111	13	an	an	DET
cana-6155	111	14	initial	initial	ADJ
cana-6155	111	15	time	time	NOUN
cana-6155	111	16	(	(	PUNCT
cana-6155	111	17	𝑡	𝑡	NOUN
cana-6155	111	18	)	)	PUNCT
cana-6155	111	19	and	and	CCONJ
cana-6155	111	20	decreasing	decrease	VERB
cana-6155	111	21	with	with	ADP
cana-6155	111	22	time	time	NOUN
cana-6155	111	23	down	down	ADP
cana-6155	111	24	to	to	ADP
cana-6155	111	25	zero	zero	NUM
cana-6155	111	26	as	as	ADP
cana-6155	111	27	𝑡	𝑡	PROPN
cana-6155	111	28	→	→	SYM
cana-6155	111	29	∞.	∞.	PROPN
cana-6155	111	30	in	in	ADP
cana-6155	111	31	fig	fig	NOUN
cana-6155	111	32	.	.	PUNCT
cana-6155	112	1	8	8	NUM
cana-6155	112	2	,	,	PUNCT
cana-6155	112	3	the	the	DET
cana-6155	112	4	dark	dark	ADJ
cana-6155	112	5	energy	energy	NOUN
cana-6155	112	6	eos	eos	PROPN
cana-6155	112	7	parameter	parameter	NOUN
cana-6155	112	8	(	(	PUNCT
cana-6155	112	9	𝜔𝐷	𝜔𝐷	NOUN
cana-6155	112	10	)	)	PUNCT
cana-6155	112	11	starts	start	VERB
cana-6155	112	12	from	from	ADP
cana-6155	112	13	the	the	DET
cana-6155	112	14	quintessence	quintessence	NOUN
cana-6155	112	15	region	region	NOUN
cana-6155	112	16	(	(	PUNCT
cana-6155	112	17	𝜔𝐷	𝜔𝐷	ADJ
cana-6155	112	18	>	>	X
cana-6155	112	19	−1	−1	NOUN
cana-6155	112	20	)	)	PUNCT
cana-6155	112	21	and	and	CCONJ
cana-6155	112	22	remains	remain	VERB
cana-6155	112	23	in	in	ADP
cana-6155	112	24	the	the	DET
cana-6155	112	25	quintessence	quintessence	NOUN
cana-6155	112	26	region	region	NOUN
cana-6155	112	27	for	for	ADP
cana-6155	112	28	the	the	DET
cana-6155	112	29	whole	whole	ADJ
cana-6155	112	30	cosmic	cosmic	ADJ
cana-6155	112	31	time	time	NOUN
cana-6155	112	32	(	(	PUNCT
cana-6155	112	33	𝑡	𝑡	NOUN
cana-6155	112	34	)	)	PUNCT
cana-6155	112	35	.	.	PUNCT
cana-6155	113	1	4.2	4.2	NUM
cana-6155	113	2	interacting	interact	VERB
cana-6155	113	3	two	two	NUM
cana-6155	113	4	fluid	fluid	ADJ
cana-6155	113	5	model	model	NOUN
cana-6155	113	6	in	in	ADP
cana-6155	113	7	this	this	DET
cana-6155	113	8	section	section	NOUN
cana-6155	113	9	,	,	PUNCT
cana-6155	113	10	we	we	PRON
cana-6155	113	11	can	can	AUX
cana-6155	113	12	write	write	VERB
cana-6155	113	13	the	the	DET
cana-6155	113	14	energy	energy	NOUN
cana-6155	113	15	conservation	conservation	NOUN
cana-6155	113	16	equation	equation	NOUN
cana-6155	113	17	for	for	ADP
cana-6155	113	18	the	the	DET
cana-6155	113	19	barotropic	barotropic	ADJ
cana-6155	113	20	fluid	fluid	NOUN
cana-6155	113	21	and	and	CCONJ
cana-6155	113	22	dark	dark	ADJ
cana-6155	113	23	energy	energy	NOUN
cana-6155	113	24	,	,	PUNCT
cana-6155	113	25	𝜌	𝜌	PART
cana-6155	113	26	�	�	PROPN
cana-6155	113	27	̇	̇	VERB
cana-6155	113	28	�	�	PROPN
cana-6155	113	29	+	+	CCONJ
cana-6155	113	30	4𝐻(𝑝𝐵	4𝐻(𝑝𝐵	NUM
cana-6155	113	31	+	+	CCONJ
cana-6155	113	32	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	113	33	)	)	PUNCT
cana-6155	113	34	=	=	SYM
cana-6155	113	35	𝑄	𝑄	PROPN
cana-6155	113	36	(	(	PUNCT
cana-6155	113	37	35	35	NUM
cana-6155	113	38	)	)	PUNCT
cana-6155	113	39	𝜌	𝜌	PART
cana-6155	113	40	�	�	PROPN
cana-6155	113	41	̇	̇	VERB
cana-6155	113	42	�	�	PROPN
cana-6155	113	43	+	+	CCONJ
cana-6155	113	44	4𝐻(𝑝𝐷	4𝐻(𝑝𝐷	NUM
cana-6155	113	45	+	+	CCONJ
cana-6155	113	46	𝜌𝐷	𝜌𝐷	NOUN
cana-6155	113	47	)	)	PUNCT
cana-6155	113	48	=	=	SYM
cana-6155	113	49	−𝑄	−𝑄	PROPN
cana-6155	113	50	(	(	PUNCT
cana-6155	113	51	36	36	NUM
cana-6155	113	52	)	)	PUNCT
cana-6155	113	53	we	we	PRON
cana-6155	113	54	can	can	AUX
cana-6155	113	55	write	write	VERB
cana-6155	113	56	the	the	DET
cana-6155	113	57	above	above	ADJ
cana-6155	113	58	equation	equation	NOUN
cana-6155	113	59	as	as	ADP
cana-6155	113	60	,	,	PUNCT
cana-6155	113	61	𝜌	𝜌	PART
cana-6155	113	62	�	�	NOUN
cana-6155	113	63	̇	̇	VERB
cana-6155	113	64	�	�	PROPN
cana-6155	113	65	+	+	CCONJ
cana-6155	113	66	4𝐻(1	4𝐻(1	PROPN
cana-6155	113	67	+	+	CCONJ
cana-6155	113	68	𝜔𝐵)𝜌𝐵	𝜔𝐵)𝜌𝐵	DET
cana-6155	113	69	=	=	PUNCT
cana-6155	113	70	𝑄	𝑄	PROPN
cana-6155	113	71	(	(	PUNCT
cana-6155	113	72	37	37	NUM
cana-6155	113	73	)	)	PUNCT
cana-6155	113	74	𝜌	𝜌	PART
cana-6155	113	75	�	�	PROPN
cana-6155	113	76	̇	̇	VERB
cana-6155	113	77	�	�	PROPN
cana-6155	113	78	+	+	CCONJ
cana-6155	113	79	4𝐻(1	4𝐻(1	PROPN
cana-6155	113	80	+	+	CCONJ
cana-6155	113	81	𝜔𝐷)𝜌𝐷	𝜔𝐷)𝜌𝐷	NOUN
cana-6155	113	82	=	=	SYM
cana-6155	113	83	−𝑄	−𝑄	PROPN
cana-6155	113	84	(	(	PUNCT
cana-6155	113	85	38	38	NUM
cana-6155	113	86	)	)	PUNCT
cana-6155	113	87	where	where	SCONJ
cana-6155	113	88	𝜔	𝜔	ADP
cana-6155	113	89	=	=	SYM
cana-6155	113	90	𝑝	𝑝	ADP
cana-6155	113	91	𝜌	𝜌	NOUN
cana-6155	113	92	and	and	CCONJ
cana-6155	113	93	the	the	DET
cana-6155	113	94	quantity	quantity	NOUN
cana-6155	113	95	𝑄	𝑄	PRON
cana-6155	113	96	represents	represent	VERB
cana-6155	113	97	the	the	DET
cana-6155	113	98	interaction	interaction	NOUN
cana-6155	113	99	between	between	ADP
cana-6155	113	100	barotropic	barotropic	ADJ
cana-6155	113	101	fluid	fluid	NOUN
cana-6155	113	102	and	and	CCONJ
cana-6155	113	103	dark	dark	ADJ
cana-6155	113	104	energy	energy	NOUN
cana-6155	113	105	components	component	NOUN
cana-6155	113	106	.	.	PUNCT
cana-6155	114	1	we	we	PRON
cana-6155	114	2	consider	consider	VERB
cana-6155	114	3	𝑄	𝑄	PRON
cana-6155	114	4	>	>	X
cana-6155	114	5	0	0	NUM
cana-6155	114	6	,	,	PUNCT
cana-6155	114	7	this	this	PRON
cana-6155	114	8	ensures	ensure	VERB
cana-6155	114	9	that	that	SCONJ
cana-6155	114	10	the	the	DET
cana-6155	114	11	energy	energy	NOUN
cana-6155	114	12	being	be	AUX
cana-6155	114	13	transferred	transfer	VERB
cana-6155	114	14	from	from	ADP
cana-6155	114	15	dark	dark	ADJ
cana-6155	114	16	energy	energy	NOUN
cana-6155	114	17	to	to	ADP
cana-6155	114	18	barotropic	barotropic	ADJ
cana-6155	114	19	fluid	fluid	NOUN
cana-6155	114	20	.	.	PUNCT
cana-6155	115	1	consider	consider	VERB
cana-6155	115	2	,	,	PUNCT
cana-6155	115	3	𝑄	𝑄	PROPN
cana-6155	115	4	=	=	SYM
cana-6155	115	5	4𝐻𝑘𝜌𝐵	4𝐻𝑘𝜌𝐵	PROPN
cana-6155	115	6	,	,	PUNCT
cana-6155	115	7	where	where	SCONJ
cana-6155	115	8	k	k	PROPN
cana-6155	115	9	is	be	AUX
cana-6155	115	10	a	a	DET
cana-6155	115	11	coupling	coupling	NOUN
cana-6155	115	12	constant	constant	ADJ
cana-6155	115	13	,	,	PUNCT
cana-6155	115	14	using	use	VERB
cana-6155	115	15	above	above	ADP
cana-6155	115	16	value	value	NOUN
cana-6155	115	17	of	of	ADP
cana-6155	115	18	𝑄	𝑄	PRON
cana-6155	115	19	in	in	ADP
cana-6155	115	20	equation	equation	NOUN
cana-6155	115	21	(	(	PUNCT
cana-6155	115	22	37	37	NUM
cana-6155	115	23	)	)	PUNCT
cana-6155	115	24	,	,	PUNCT
cana-6155	115	25	we	we	PRON
cana-6155	115	26	get	get	VERB
cana-6155	115	27	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	115	28	=	=	SYM
cana-6155	115	29	𝑐𝑡	𝑐𝑡	X
cana-6155	115	30	(	(	PUNCT
cana-6155	115	31	𝑘−𝜔𝐵−1	𝑘−𝜔𝐵−1	PROPN
cana-6155	115	32	)	)	PUNCT
cana-6155	115	33	(	(	PUNCT
cana-6155	115	34	3𝑛+1	3𝑛+1	NUM
cana-6155	115	35	)	)	PUNCT
cana-6155	115	36	(	(	PUNCT
cana-6155	115	37	3𝑛−1	3𝑛−1	NUM
cana-6155	115	38	)	)	PUNCT
cana-6155	115	39	(	(	PUNCT
cana-6155	115	40	39	39	NUM
cana-6155	115	41	)	)	PUNCT
cana-6155	115	42	𝜌𝐷	𝜌𝐷	PUNCT
cana-6155	116	1	=	=	SYM
cana-6155	116	2	3𝑛(𝑛	3𝑛(𝑛	NUM
cana-6155	116	3	+	+	CCONJ
cana-6155	116	4	1	1	X
cana-6155	116	5	)	)	PUNCT
cana-6155	116	6	8𝜋(3𝑛	8𝜋(3𝑛	NUM
cana-6155	116	7	−	−	NOUN
cana-6155	116	8	1)2	1)2	NUM
cana-6155	116	9	1	1	NUM
cana-6155	116	10	𝑡2	𝑡2	NOUN
cana-6155	116	11	−	−	PROPN
cana-6155	116	12	𝑐𝑡	𝑐𝑡	INTJ
cana-6155	116	13	(	(	PUNCT
cana-6155	116	14	𝑘−𝜔𝐵−1	𝑘−𝜔𝐵−1	PROPN
cana-6155	116	15	)	)	PUNCT
cana-6155	116	16	(	(	PUNCT
cana-6155	116	17	3𝑛+1	3𝑛+1	NUM
cana-6155	116	18	)	)	PUNCT
cana-6155	116	19	(	(	PUNCT
cana-6155	116	20	3𝑛−1	3𝑛−1	NUM
cana-6155	116	21	)	)	PUNCT
cana-6155	117	1	−	−	PROPN
cana-6155	117	2	3	3	NUM
cana-6155	117	3	32𝜋	32𝜋	NUM
cana-6155	117	4	𝑡	𝑡	ADP
cana-6155	117	5	−	−	PROPN
cana-6155	117	6	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	117	7	)	)	PUNCT
cana-6155	117	8	(	(	PUNCT
cana-6155	117	9	3𝑛−1	3𝑛−1	NUM
cana-6155	117	10	)	)	PUNCT
cana-6155	117	11	(	(	PUNCT
cana-6155	117	12	40	40	NUM
cana-6155	117	13	)	)	PUNCT
cana-6155	117	14	substituting	substitute	VERB
cana-6155	117	15	the	the	DET
cana-6155	117	16	value	value	NOUN
cana-6155	117	17	of	of	ADP
cana-6155	117	18	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	117	19	in	in	ADP
cana-6155	117	20	equation	equation	NOUN
cana-6155	117	21	(	(	PUNCT
cana-6155	117	22	36	36	NUM
cana-6155	117	23	)	)	PUNCT
cana-6155	117	24	,	,	PUNCT
cana-6155	117	25	we	we	PRON
cana-6155	117	26	get	get	VERB
cana-6155	117	27	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	117	28	=	=	SYM
cana-6155	117	29	9𝑛(𝑛	9𝑛(𝑛	NOUN
cana-6155	117	30	−	−	NOUN
cana-6155	118	1	1)2	1)2	NUM
cana-6155	118	2	8𝜋(3𝑛	8𝜋(3𝑛	NUM
cana-6155	118	3	−	−	PROPN
cana-6155	118	4	1)2(3𝑛	1)2(3𝑛	NOUN
cana-6155	119	1	+	+	CCONJ
cana-6155	119	2	1	1	X
cana-6155	119	3	)	)	PUNCT
cana-6155	119	4	1	1	NUM
cana-6155	119	5	𝑡2	𝑡2	NOUN
cana-6155	119	6	+	+	CCONJ
cana-6155	119	7	𝑐(1	𝑐(1	PROPN
cana-6155	119	8	−	−	ADP
cana-6155	119	9	𝜔𝐵)𝑡	𝜔𝐵)𝑡	PROPN
cana-6155	119	10	(	(	PUNCT
cana-6155	119	11	𝑘−𝜔𝐵−1	𝑘−𝜔𝐵−1	PROPN
cana-6155	119	12	)	)	PUNCT
cana-6155	119	13	(	(	PUNCT
cana-6155	119	14	3𝑛+1	3𝑛+1	NUM
cana-6155	119	15	)	)	PUNCT
cana-6155	119	16	(	(	PUNCT
cana-6155	119	17	3𝑛−1	3𝑛−1	NUM
cana-6155	119	18	)	)	PUNCT
cana-6155	119	19	−	−	PROPN
cana-6155	119	20	3	3	NUM
cana-6155	119	21	32𝜋	32𝜋	NUM
cana-6155	119	22	𝑡	𝑡	ADP
cana-6155	119	23	−	−	PROPN
cana-6155	119	24	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	119	25	)	)	PUNCT
cana-6155	119	26	(	(	PUNCT
cana-6155	119	27	3𝑛−1	3𝑛−1	NUM
cana-6155	119	28	)	)	PUNCT
cana-6155	119	29	(	(	PUNCT
cana-6155	119	30	41	41	NUM
cana-6155	119	31	)	)	PUNCT
cana-6155	119	32	communications	communication	NOUN
cana-6155	119	33	on	on	ADP
cana-6155	119	34	applied	apply	VERB
cana-6155	119	35	nonlinear	nonlinear	ADJ
cana-6155	119	36	analysis	analysis	NOUN
cana-6155	119	37	issn	issn	NOUN
cana-6155	119	38	:	:	PUNCT
cana-6155	119	39	1074	1074	NUM
cana-6155	119	40	-	-	PUNCT
cana-6155	119	41	133x	133x	NUM
cana-6155	119	42	vol	vol	NOUN
cana-6155	119	43	31	31	NUM
cana-6155	119	44	no	no	NOUN
cana-6155	119	45	.	.	PUNCT
cana-6155	120	1	8s	8s	PROPN
cana-6155	120	2	(	(	PUNCT
cana-6155	120	3	2024	2024	NUM
cana-6155	120	4	)	)	PUNCT
cana-6155	120	5	1220	1220	NUM
cana-6155	120	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	120	7	𝜔𝐷	𝜔𝐷	PROPN
cana-6155	120	8	=	=	SYM
cana-6155	120	9	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	120	10	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	120	11	=	=	SYM
cana-6155	120	12	9𝑛(𝑛	9𝑛(𝑛	PROPN
cana-6155	121	1	−	−	NOUN
cana-6155	121	2	1)2	1)2	NUM
cana-6155	121	3	8𝜋(3𝑛	8𝜋(3𝑛	NUM
cana-6155	121	4	−	−	PROPN
cana-6155	121	5	1)2(3𝑛	1)2(3𝑛	NOUN
cana-6155	122	1	+	+	CCONJ
cana-6155	122	2	1	1	X
cana-6155	122	3	)	)	PUNCT
cana-6155	122	4	1	1	NUM
cana-6155	122	5	𝑡2	𝑡2	NOUN
cana-6155	122	6	+	+	CCONJ
cana-6155	122	7	𝑐(1	𝑐(1	PROPN
cana-6155	122	8	−	−	ADP
cana-6155	122	9	𝜔𝐵)𝑡	𝜔𝐵)𝑡	PROPN
cana-6155	122	10	(	(	PUNCT
cana-6155	122	11	𝑘−𝜔𝐵−1	𝑘−𝜔𝐵−1	PROPN
cana-6155	122	12	)	)	PUNCT
cana-6155	122	13	(	(	PUNCT
cana-6155	122	14	3𝑛+1	3𝑛+1	NUM
cana-6155	122	15	)	)	PUNCT
cana-6155	122	16	(	(	PUNCT
cana-6155	122	17	3𝑛−1	3𝑛−1	NUM
cana-6155	122	18	)	)	PUNCT
cana-6155	122	19	−	−	PROPN
cana-6155	122	20	3	3	NUM
cana-6155	122	21	32𝜋	32𝜋	NUM
cana-6155	122	22	𝑡	𝑡	ADP
cana-6155	122	23	−	−	PROPN
cana-6155	122	24	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	122	25	)	)	PUNCT
cana-6155	122	26	(	(	PUNCT
cana-6155	122	27	3𝑛−1	3𝑛−1	NUM
cana-6155	122	28	)	)	PUNCT
cana-6155	122	29	3𝑛(𝑛	3𝑛(𝑛	PROPN
cana-6155	123	1	+	+	CCONJ
cana-6155	123	2	1	1	X
cana-6155	123	3	)	)	PUNCT
cana-6155	123	4	8𝜋(3𝑛	8𝜋(3𝑛	NUM
cana-6155	123	5	−	−	NOUN
cana-6155	123	6	1)2	1)2	NUM
cana-6155	123	7	1	1	NUM
cana-6155	123	8	𝑡2	𝑡2	NOUN
cana-6155	123	9	−	−	PROPN
cana-6155	123	10	𝑐𝑡	𝑐𝑡	INTJ
cana-6155	123	11	(	(	PUNCT
cana-6155	123	12	𝑘−𝜔𝐵−1	𝑘−𝜔𝐵−1	PROPN
cana-6155	123	13	)	)	PUNCT
cana-6155	123	14	(	(	PUNCT
cana-6155	123	15	3𝑛+1	3𝑛+1	NUM
cana-6155	123	16	)	)	PUNCT
cana-6155	123	17	(	(	PUNCT
cana-6155	123	18	3𝑛−1	3𝑛−1	NUM
cana-6155	123	19	)	)	PUNCT
cana-6155	123	20	−	−	PROPN
cana-6155	123	21	3	3	NUM
cana-6155	123	22	32𝜋	32𝜋	NUM
cana-6155	123	23	𝑡	𝑡	ADP
cana-6155	123	24	−	−	PROPN
cana-6155	123	25	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	123	26	)	)	PUNCT
cana-6155	123	27	(	(	PUNCT
cana-6155	123	28	3𝑛−1	3𝑛−1	NUM
cana-6155	123	29	)	)	PUNCT
cana-6155	123	30	(	(	PUNCT
cana-6155	123	31	42	42	X
cana-6155	123	32	)	)	PUNCT
cana-6155	123	33	the	the	DET
cana-6155	123	34	expressions	expression	NOUN
cana-6155	123	35	of	of	ADP
cana-6155	123	36	barotropic	barotropic	ADJ
cana-6155	123	37	fluid	fluid	NOUN
cana-6155	123	38	density	density	NOUN
cana-6155	123	39	parameter	parameter	NOUN
cana-6155	123	40	(	(	PUNCT
cana-6155	123	41	ω𝐵	ω𝐵	ADJ
cana-6155	123	42	)	)	PUNCT
cana-6155	123	43	and	and	CCONJ
cana-6155	123	44	dark	dark	ADJ
cana-6155	123	45	energy	energy	NOUN
cana-6155	123	46	density	density	NOUN
cana-6155	123	47	parameter	parameter	NOUN
cana-6155	123	48	(	(	PUNCT
cana-6155	123	49	ω𝐷	ω𝐷	NOUN
cana-6155	123	50	)	)	PUNCT
cana-6155	123	51	are	be	AUX
cana-6155	123	52	given	give	VERB
cana-6155	123	53	as	as	ADP
cana-6155	123	54	,	,	PUNCT
cana-6155	123	55	ω𝐵	ω𝐵	ADJ
cana-6155	123	56	=	=	SYM
cana-6155	123	57	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	123	58	6𝐻2	6𝐻2	NUM
cana-6155	123	59	=	=	SYM
cana-6155	123	60	8𝑐(3𝑛	8𝑐(3𝑛	NUM
cana-6155	123	61	−	−	PROPN
cana-6155	123	62	1)2	1)2	NUM
cana-6155	123	63	3(3𝑛	3(3𝑛	NUM
cana-6155	123	64	+	+	CCONJ
cana-6155	123	65	1)2	1)2	NUM
cana-6155	123	66	𝑡	𝑡	NOUN
cana-6155	123	67	2	2	NUM
cana-6155	123	68	+	+	CCONJ
cana-6155	123	69	(	(	PUNCT
cana-6155	123	70	𝑘−𝜔𝐵−1)(3𝑛+1	𝑘−𝜔𝐵−1)(3𝑛+1	PROPN
cana-6155	123	71	)	)	PUNCT
cana-6155	123	72	(	(	PUNCT
cana-6155	123	73	3𝑛−1	3𝑛−1	NUM
cana-6155	123	74	)	)	PUNCT
cana-6155	123	75	(	(	PUNCT
cana-6155	123	76	43	43	NUM
cana-6155	123	77	)	)	PUNCT
cana-6155	123	78	ω𝐷	ω𝐷	PUNCT
cana-6155	124	1	=	=	PUNCT
cana-6155	124	2	𝜌𝐷	𝜌𝐷	PROPN
cana-6155	124	3	6𝐻2	6𝐻2	NUM
cana-6155	124	4	=	=	PUNCT
cana-6155	124	5	𝑛(𝑛	𝑛(𝑛	PROPN
cana-6155	124	6	+	+	CCONJ
cana-6155	124	7	1	1	NUM
cana-6155	124	8	)	)	PUNCT
cana-6155	124	9	𝜋(3𝑛	𝜋(3𝑛	NUM
cana-6155	125	1	+	+	NOUN
cana-6155	125	2	1)2	1)2	NUM
cana-6155	125	3	−	−	NOUN
cana-6155	125	4	8𝑐(3𝑛	8𝑐(3𝑛	NUM
cana-6155	125	5	−	−	PROPN
cana-6155	125	6	1)2	1)2	NUM
cana-6155	125	7	3(3𝑛	3(3𝑛	NUM
cana-6155	125	8	+	+	CCONJ
cana-6155	125	9	1)2	1)2	NUM
cana-6155	125	10	𝑡2	𝑡2	PROPN
cana-6155	125	11	+	+	CCONJ
cana-6155	125	12	(	(	PUNCT
cana-6155	125	13	𝑘−𝜔𝐵−1)(3𝑛+1	𝑘−𝜔𝐵−1)(3𝑛+1	PROPN
cana-6155	125	14	)	)	PUNCT
cana-6155	126	1	3𝑛−1	3𝑛−1	NUM
cana-6155	126	2	−	−	NOUN
cana-6155	126	3	(	(	PUNCT
cana-6155	126	4	3𝑛	3𝑛	NUM
cana-6155	126	5	−	−	PROPN
cana-6155	126	6	1)2	1)2	NUM
cana-6155	126	7	4𝜋(3𝑛	4𝜋(3𝑛	NUM
cana-6155	127	1	+	+	CCONJ
cana-6155	127	2	1)2	1)2	NUM
cana-6155	127	3	𝑡	𝑡	PROPN
cana-6155	127	4	2−	2−	NUM
cana-6155	127	5	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	127	6	)	)	PUNCT
cana-6155	127	7	(	(	PUNCT
cana-6155	127	8	3𝑛−1	3𝑛−1	NUM
cana-6155	127	9	)	)	PUNCT
cana-6155	127	10	(	(	PUNCT
cana-6155	127	11	44	44	NUM
cana-6155	127	12	)	)	PUNCT
cana-6155	127	13	the	the	DET
cana-6155	127	14	total	total	ADJ
cana-6155	127	15	energy	energy	NOUN
cana-6155	127	16	density	density	NOUN
cana-6155	127	17	(	(	PUNCT
cana-6155	127	18	ω	ω	NOUN
cana-6155	127	19	)	)	PUNCT
cana-6155	127	20	is	be	AUX
cana-6155	127	21	given	give	VERB
cana-6155	127	22	by	by	ADP
cana-6155	127	23	,	,	PUNCT
cana-6155	127	24	ω	ω	PROPN
cana-6155	127	25	=	=	PROPN
cana-6155	127	26	ω𝐵	ω𝐵	PROPN
cana-6155	127	27	+	+	X
cana-6155	128	1	ω𝐷	ω𝐷	PUNCT
cana-6155	129	1	=	=	PUNCT
cana-6155	130	1	𝑛(𝑛	𝑛(𝑛	PROPN
cana-6155	130	2	+	+	CCONJ
cana-6155	130	3	1	1	NUM
cana-6155	130	4	)	)	PUNCT
cana-6155	130	5	𝜋(3𝑛	𝜋(3𝑛	NUM
cana-6155	130	6	+	+	NOUN
cana-6155	130	7	1)2	1)2	NUM
cana-6155	130	8	−	−	NOUN
cana-6155	130	9	(	(	PUNCT
cana-6155	130	10	3𝑛	3𝑛	NUM
cana-6155	130	11	−	−	PROPN
cana-6155	130	12	1)2	1)2	NUM
cana-6155	130	13	4𝜋(3𝑛	4𝜋(3𝑛	NUM
cana-6155	131	1	+	+	CCONJ
cana-6155	131	2	1)2	1)2	NUM
cana-6155	131	3	𝑡	𝑡	PROPN
cana-6155	131	4	2−	2−	NUM
cana-6155	131	5	2(3𝑛+1	2(3𝑛+1	NUM
cana-6155	131	6	)	)	PUNCT
cana-6155	131	7	(	(	PUNCT
cana-6155	131	8	3𝑛−1	3𝑛−1	NUM
cana-6155	131	9	)	)	PUNCT
cana-6155	131	10	(	(	PUNCT
cana-6155	131	11	45	45	NUM
cana-6155	131	12	)	)	PUNCT
cana-6155	131	13	fig	fig	NOUN
cana-6155	131	14	.	.	PUNCT
cana-6155	132	1	9	9	X
cana-6155	132	2	.	.	X
cana-6155	132	3	graph	graph	NOUN
cana-6155	132	4	of	of	ADP
cana-6155	132	5	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	132	6	versus	versus	ADP
cana-6155	132	7	cosmic	cosmic	ADJ
cana-6155	132	8	time	time	NOUN
cana-6155	132	9	(	(	PUNCT
cana-6155	132	10	𝑡	𝑡	NOUN
cana-6155	132	11	)	)	PUNCT
cana-6155	132	12	for	for	ADP
cana-6155	132	13	interacting	interact	VERB
cana-6155	132	14	two	two	NUM
cana-6155	132	15	fluid	fluid	ADJ
cana-6155	132	16	scenario	scenario	NOUN
cana-6155	132	17	.	.	PUNCT
cana-6155	133	1	fig	fig	NOUN
cana-6155	133	2	.	.	PUNCT
cana-6155	134	1	10	10	NUM
cana-6155	134	2	.	.	PUNCT
cana-6155	135	1	graph	graph	NOUN
cana-6155	135	2	of	of	ADP
cana-6155	135	3	𝑝𝐷	𝑝𝐷	PROPN
cana-6155	135	4	versus	versus	ADP
cana-6155	135	5	cosmic	cosmic	ADJ
cana-6155	135	6	time	time	NOUN
cana-6155	135	7	(	(	PUNCT
cana-6155	135	8	𝑡	𝑡	NOUN
cana-6155	135	9	)	)	PUNCT
cana-6155	135	10	for	for	ADP
cana-6155	135	11	interacting	interact	VERB
cana-6155	135	12	two	two	NUM
cana-6155	135	13	fluid	fluid	ADJ
cana-6155	135	14	scenario	scenario	NOUN
cana-6155	135	15	.	.	PUNCT
cana-6155	136	1	communications	communication	NOUN
cana-6155	136	2	on	on	ADP
cana-6155	136	3	applied	apply	VERB
cana-6155	136	4	nonlinear	nonlinear	ADJ
cana-6155	136	5	analysis	analysis	NOUN
cana-6155	136	6	issn	issn	NOUN
cana-6155	136	7	:	:	PUNCT
cana-6155	136	8	1074	1074	NUM
cana-6155	136	9	-	-	PUNCT
cana-6155	136	10	133x	133x	NUM
cana-6155	136	11	vol	vol	NOUN
cana-6155	136	12	31	31	NUM
cana-6155	136	13	no	no	NOUN
cana-6155	136	14	.	.	PUNCT
cana-6155	137	1	8s	8s	PROPN
cana-6155	137	2	(	(	PUNCT
cana-6155	137	3	2024	2024	NUM
cana-6155	137	4	)	)	PUNCT
cana-6155	137	5	1221	1221	NUM
cana-6155	137	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	137	7	fig	fig	NOUN
cana-6155	137	8	.	.	PUNCT
cana-6155	138	1	11	11	NUM
cana-6155	138	2	.	.	PUNCT
cana-6155	139	1	graph	graph	NOUN
cana-6155	139	2	of	of	ADP
cana-6155	139	3	𝜔𝐷	𝜔𝐷	PRON
cana-6155	139	4	versus	versus	ADP
cana-6155	139	5	cosmic	cosmic	ADJ
cana-6155	139	6	time	time	NOUN
cana-6155	139	7	(	(	PUNCT
cana-6155	139	8	𝑡	𝑡	NOUN
cana-6155	139	9	)	)	PUNCT
cana-6155	139	10	for	for	ADP
cana-6155	139	11	interacting	interact	VERB
cana-6155	139	12	two	two	NUM
cana-6155	139	13	fluid	fluid	ADJ
cana-6155	139	14	scenario	scenario	NOUN
cana-6155	139	15	.	.	PUNCT
cana-6155	140	1	for	for	ADP
cana-6155	140	2	interacting	interact	VERB
cana-6155	140	3	two	two	NUM
cana-6155	140	4	fluid	fluid	ADJ
cana-6155	140	5	model	model	NOUN
cana-6155	140	6	,	,	PUNCT
cana-6155	140	7	fig	fig	NOUN
cana-6155	140	8	.	.	PUNCT
cana-6155	140	9	9	9	NUM
cana-6155	140	10	,	,	PUNCT
cana-6155	140	11	shows	show	VERB
cana-6155	140	12	the	the	DET
cana-6155	140	13	graph	graph	NOUN
cana-6155	140	14	of	of	ADP
cana-6155	140	15	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	140	16	with	with	ADP
cana-6155	140	17	cosmic	cosmic	ADJ
cana-6155	140	18	time	time	NOUN
cana-6155	140	19	(	(	PUNCT
cana-6155	140	20	𝑡	𝑡	NOUN
cana-6155	140	21	)	)	PUNCT
cana-6155	140	22	.	.	PUNCT
cana-6155	141	1	it	it	PRON
cana-6155	141	2	is	be	AUX
cana-6155	141	3	observed	observe	VERB
cana-6155	141	4	that	that	SCONJ
cana-6155	141	5	𝜌𝐵	𝜌𝐵	ADJ
cana-6155	141	6	diverges	diverge	NOUN
cana-6155	141	7	for	for	ADP
cana-6155	141	8	initial	initial	ADJ
cana-6155	141	9	time	time	NOUN
cana-6155	141	10	(	(	PUNCT
cana-6155	141	11	𝑡	𝑡	NOUN
cana-6155	141	12	)	)	PUNCT
cana-6155	141	13	and	and	CCONJ
cana-6155	141	14	it	it	PRON
cana-6155	141	15	decreases	decrease	VERB
cana-6155	141	16	with	with	ADP
cana-6155	141	17	time	time	NOUN
cana-6155	141	18	and	and	CCONJ
cana-6155	141	19	tends	tend	VERB
cana-6155	141	20	to	to	ADP
cana-6155	141	21	zero	zero	NUM
cana-6155	141	22	as	as	ADP
cana-6155	141	23	𝑡	𝑡	PROPN
cana-6155	141	24	→	→	SYM
cana-6155	141	25	∞.	∞.	PROPN
cana-6155	141	26	figure	figure	NOUN
cana-6155	141	27	10	10	NUM
cana-6155	141	28	,	,	PUNCT
cana-6155	141	29	shows	show	VERB
cana-6155	141	30	the	the	DET
cana-6155	141	31	graph	graph	NOUN
cana-6155	141	32	of	of	ADP
cana-6155	141	33	𝑝𝐷	𝑝𝐷	PUNCT
cana-6155	141	34	with	with	ADP
cana-6155	141	35	cosmic	cosmic	ADJ
cana-6155	141	36	time	time	NOUN
cana-6155	141	37	(	(	PUNCT
cana-6155	141	38	𝑡	𝑡	NOUN
cana-6155	141	39	)	)	PUNCT
cana-6155	141	40	.	.	PUNCT
cana-6155	142	1	it	it	PRON
cana-6155	142	2	is	be	AUX
cana-6155	142	3	observed	observe	VERB
cana-6155	142	4	from	from	ADP
cana-6155	142	5	the	the	DET
cana-6155	142	6	graph	graph	NOUN
cana-6155	142	7	that	that	PRON
cana-6155	142	8	𝑝𝐷	𝑝𝐷	ADJ
cana-6155	142	9	diverges	diverge	NOUN
cana-6155	142	10	for	for	ADP
cana-6155	142	11	𝑡	𝑡	PROPN
cana-6155	142	12	=	=	SYM
cana-6155	142	13	0	0	PUNCT
cana-6155	142	14	and	and	CCONJ
cana-6155	142	15	tends	tend	VERB
cana-6155	142	16	to	to	ADP
cana-6155	142	17	zero	zero	NUM
cana-6155	142	18	as	as	ADP
cana-6155	142	19	𝑡	𝑡	PROPN
cana-6155	142	20	→	→	SYM
cana-6155	142	21	∞.	∞.	PROPN
cana-6155	142	22	figure	figure	NOUN
cana-6155	142	23	11	11	NUM
cana-6155	142	24	,	,	PUNCT
cana-6155	142	25	represents	represent	VERB
cana-6155	142	26	the	the	DET
cana-6155	142	27	graph	graph	NOUN
cana-6155	142	28	of	of	ADP
cana-6155	142	29	eos	eos	PROPN
cana-6155	142	30	parameter	parameter	NOUN
cana-6155	142	31	of	of	ADP
cana-6155	142	32	dark	dark	ADJ
cana-6155	142	33	energy	energy	NOUN
cana-6155	142	34	(	(	PUNCT
cana-6155	142	35	𝜔𝐷	𝜔𝐷	NOUN
cana-6155	142	36	)	)	PUNCT
cana-6155	142	37	with	with	ADP
cana-6155	142	38	cosmic	cosmic	ADJ
cana-6155	142	39	time	time	NOUN
cana-6155	142	40	(	(	PUNCT
cana-6155	142	41	𝑡	𝑡	NOUN
cana-6155	142	42	)	)	PUNCT
cana-6155	142	43	.	.	PUNCT
cana-6155	143	1	it	it	PRON
cana-6155	143	2	shows	show	VERB
cana-6155	143	3	that	that	SCONJ
cana-6155	143	4	𝜔𝐷	𝜔𝐷	PROPN
cana-6155	143	5	=	=	SYM
cana-6155	143	6	0	0	NUM
cana-6155	143	7	when	when	SCONJ
cana-6155	143	8	𝑡	𝑡	X
cana-6155	143	9	=	=	VERB
cana-6155	143	10	0	0	X
cana-6155	143	11	i.e.	i.e.	X
cana-6155	143	12	,	,	PUNCT
cana-6155	143	13	initially	initially	ADV
cana-6155	143	14	𝜔𝐷	𝜔𝐷	X
cana-6155	143	15	is	be	AUX
cana-6155	143	16	in	in	ADP
cana-6155	143	17	quintessence	quintessence	NOUN
cana-6155	143	18	region	region	NOUN
cana-6155	143	19	and	and	CCONJ
cana-6155	143	20	as	as	ADP
cana-6155	143	21	𝑡	𝑡	PROPN
cana-6155	143	22	⟶	⟶	NOUN
cana-6155	143	23	∞	∞	PROPN
cana-6155	143	24	,	,	PUNCT
cana-6155	143	25	𝜔𝐷	𝜔𝐷	PROPN
cana-6155	143	26	crosses	crosse	NOUN
cana-6155	143	27	pde	pde	NOUN
cana-6155	143	28	(	(	PUNCT
cana-6155	143	29	𝜔𝐷	𝜔𝐷	ADJ
cana-6155	143	30	=	=	SYM
cana-6155	143	31	−1	−1	NOUN
cana-6155	143	32	)	)	PUNCT
cana-6155	143	33	and	and	CCONJ
cana-6155	143	34	finally	finally	ADV
cana-6155	143	35	stables	stable	VERB
cana-6155	143	36	in	in	ADP
cana-6155	143	37	phantom	phantom	ADJ
cana-6155	143	38	region	region	NOUN
cana-6155	143	39	(	(	PUNCT
cana-6155	143	40	𝜔𝐷	𝜔𝐷	X
cana-6155	143	41	<	<	X
cana-6155	143	42	−1	−1	NOUN
cana-6155	143	43	)	)	PUNCT
cana-6155	143	44	.	.	PUNCT
cana-6155	144	1	5	5	X
cana-6155	144	2	.	.	X
cana-6155	144	3	cosmological	cosmological	ADJ
cana-6155	144	4	parameters	parameter	NOUN
cana-6155	144	5	:	:	PUNCT
cana-6155	144	6	5.1	5.1	NUM
cana-6155	144	7	look	look	VERB
cana-6155	144	8	back	back	ADV
cana-6155	144	9	time	time	NOUN
cana-6155	144	10	:	:	PUNCT
cana-6155	144	11	the	the	DET
cana-6155	144	12	look	look	VERB
cana-6155	144	13	back	back	ADJ
cana-6155	144	14	time	time	NOUN
cana-6155	144	15	tl	tl	PROPN
cana-6155	144	16	is	be	AUX
cana-6155	144	17	given	give	VERB
cana-6155	144	18	by	by	ADP
cana-6155	144	19	,	,	PUNCT
cana-6155	144	20	𝑡𝐿	𝑡𝐿	NOUN
cana-6155	144	21	=	=	SYM
cana-6155	144	22	𝑡0	𝑡0	PROPN
cana-6155	144	23	−	−	PROPN
cana-6155	144	24	𝑡(𝑧	𝑡(𝑧	PROPN
cana-6155	144	25	)	)	PUNCT
cana-6155	144	26	=	=	SYM
cana-6155	144	27	∫	∫	PROPN
cana-6155	144	28	𝑑𝑅	𝑑𝑅	PROPN
cana-6155	144	29	𝑅	𝑅	PROPN
cana-6155	144	30	𝑅0	𝑅0	NOUN
cana-6155	144	31	𝑅	𝑅	PROPN
cana-6155	144	32	(	(	PUNCT
cana-6155	144	33	46	46	NUM
cana-6155	144	34	)	)	PUNCT
cana-6155	144	35	the	the	DET
cana-6155	144	36	relation	relation	NOUN
cana-6155	144	37	between	between	ADP
cana-6155	144	38	scale	scale	NOUN
cana-6155	144	39	factor	factor	NOUN
cana-6155	144	40	𝑡𝐿	𝑡𝐿	NOUN
cana-6155	144	41	and	and	CCONJ
cana-6155	144	42	redshift	redshift	NOUN
cana-6155	144	43	parameter	parameter	NOUN
cana-6155	144	44	(	(	PUNCT
cana-6155	144	45	𝑧	𝑧	X
cana-6155	144	46	)	)	PUNCT
cana-6155	144	47	is	be	AUX
cana-6155	144	48	given	give	VERB
cana-6155	144	49	below	below	ADP
cana-6155	144	50	,	,	PUNCT
cana-6155	144	51	𝑅	𝑅	PROPN
cana-6155	144	52	𝑅0	𝑅0	NOUN
cana-6155	144	53	=	=	SYM
cana-6155	144	54	1	1	NUM
cana-6155	144	55	1	1	NUM
cana-6155	144	56	+	+	CCONJ
cana-6155	144	57	𝑧	𝑧	ADJ
cana-6155	144	58	(	(	PUNCT
cana-6155	144	59	47	47	NUM
cana-6155	144	60	)	)	PUNCT
cana-6155	144	61	using	use	VERB
cana-6155	144	62	equation	equation	NOUN
cana-6155	144	63	(	(	PUNCT
cana-6155	144	64	47	47	NUM
cana-6155	144	65	)	)	PUNCT
cana-6155	144	66	in	in	ADP
cana-6155	144	67	equation	equation	NOUN
cana-6155	144	68	(	(	PUNCT
cana-6155	144	69	46	46	NUM
cana-6155	144	70	)	)	PUNCT
cana-6155	144	71	,	,	PUNCT
cana-6155	144	72	we	we	PRON
cana-6155	144	73	get	get	VERB
cana-6155	144	74	𝑡𝐿	𝑡𝐿	NOUN
cana-6155	144	75	=	=	SYM
cana-6155	144	76	3𝑛	3𝑛	NUM
cana-6155	144	77	+	+	CCONJ
cana-6155	144	78	1	1	NUM
cana-6155	144	79	𝐻04(3𝑛	𝐻04(3𝑛	NOUN
cana-6155	144	80	−	−	PROPN
cana-6155	144	81	1	1	NUM
cana-6155	144	82	)	)	PUNCT
cana-6155	145	1	[	[	X
cana-6155	145	2	1	1	NUM
cana-6155	145	3	−	−	NOUN
cana-6155	145	4	(	(	PUNCT
cana-6155	145	5	1	1	NUM
cana-6155	145	6	+	+	CCONJ
cana-6155	145	7	𝑧	𝑧	X
cana-6155	145	8	)	)	PUNCT
cana-6155	145	9	−	−	PROPN
cana-6155	145	10	4(3𝑛−1	4(3𝑛−1	NOUN
cana-6155	145	11	)	)	PUNCT
cana-6155	145	12	(	(	PUNCT
cana-6155	145	13	3𝑛+1	3𝑛+1	NUM
cana-6155	145	14	)	)	PUNCT
cana-6155	145	15	]	]	PUNCT
cana-6155	145	16	(	(	PUNCT
cana-6155	145	17	48	48	NUM
cana-6155	145	18	)	)	PUNCT
cana-6155	145	19	communications	communication	NOUN
cana-6155	145	20	on	on	ADP
cana-6155	145	21	applied	apply	VERB
cana-6155	145	22	nonlinear	nonlinear	ADJ
cana-6155	145	23	analysis	analysis	NOUN
cana-6155	145	24	issn	issn	NOUN
cana-6155	145	25	:	:	PUNCT
cana-6155	145	26	1074	1074	NUM
cana-6155	145	27	-	-	PUNCT
cana-6155	145	28	133x	133x	NUM
cana-6155	145	29	vol	vol	NOUN
cana-6155	145	30	31	31	NUM
cana-6155	145	31	no	no	NOUN
cana-6155	145	32	.	.	PUNCT
cana-6155	146	1	8s	8s	PROPN
cana-6155	146	2	(	(	PUNCT
cana-6155	146	3	2024	2024	NUM
cana-6155	146	4	)	)	PUNCT
cana-6155	146	5	1222	1222	NUM
cana-6155	146	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	146	7	fig	fig	NOUN
cana-6155	146	8	.	.	PUNCT
cana-6155	147	1	12	12	NUM
cana-6155	147	2	.	.	PUNCT
cana-6155	148	1	graph	graph	NOUN
cana-6155	148	2	of	of	ADP
cana-6155	148	3	𝑡𝐿	𝑡𝐿	ADJ
cana-6155	148	4	versus	versus	ADP
cana-6155	148	5	redshift	redshift	NOUN
cana-6155	148	6	(	(	PUNCT
cana-6155	148	7	𝑧	𝑧	NOUN
cana-6155	148	8	)	)	PUNCT
cana-6155	148	9	5.2	5.2	NUM
cana-6155	148	10	proper	proper	ADJ
cana-6155	148	11	distance	distance	NOUN
cana-6155	148	12	:	:	PUNCT
cana-6155	148	13	the	the	DET
cana-6155	148	14	proper	proper	ADJ
cana-6155	148	15	distance	distance	NOUN
cana-6155	148	16	𝑑(𝑧	𝑑(𝑧	PROPN
cana-6155	148	17	)	)	PUNCT
cana-6155	148	18	is	be	AUX
cana-6155	148	19	given	give	VERB
cana-6155	148	20	by	by	ADP
cana-6155	148	21	,	,	PUNCT
cana-6155	148	22	𝑑(𝑧	𝑑(𝑧	PROPN
cana-6155	148	23	)	)	PUNCT
cana-6155	148	24	=	=	SYM
cana-6155	149	1	𝑟1𝑅0	𝑟1𝑅0	PROPN
cana-6155	149	2	(	(	PUNCT
cana-6155	149	3	49	49	NUM
cana-6155	149	4	)	)	PUNCT
cana-6155	149	5	where	where	SCONJ
cana-6155	149	6	,	,	PUNCT
cana-6155	149	7	𝑟1	𝑟1	PROPN
cana-6155	149	8	=	=	SYM
cana-6155	149	9	∫	∫	PROPN
cana-6155	149	10	𝑑𝑡	𝑑𝑡	ADP
cana-6155	149	11	𝑅	𝑅	PROPN
cana-6155	149	12	𝑡0	𝑡0	PROPN
cana-6155	149	13	𝑡	𝑡	PROPN
cana-6155	149	14	(	(	PUNCT
cana-6155	149	15	50	50	NUM
cana-6155	149	16	)	)	PUNCT
cana-6155	149	17	from	from	ADP
cana-6155	149	18	equation	equation	NOUN
cana-6155	149	19	(	(	PUNCT
cana-6155	149	20	49	49	NUM
cana-6155	149	21	)	)	PUNCT
cana-6155	149	22	and	and	CCONJ
cana-6155	149	23	(	(	PUNCT
cana-6155	149	24	50	50	NUM
cana-6155	149	25	)	)	PUNCT
cana-6155	149	26	,	,	PUNCT
cana-6155	149	27	we	we	PRON
cana-6155	149	28	get	get	VERB
cana-6155	149	29	𝑑(𝑧	𝑑(𝑧	NUM
cana-6155	149	30	)	)	PUNCT
cana-6155	149	31	=	=	PRON
cana-6155	149	32	𝑅0𝑘′	𝑅0𝑘′	ADP
cana-6155	149	33	𝑘	𝑘	PRON
cana-6155	150	1	[	[	X
cana-6155	150	2	1	1	NUM
cana-6155	150	3	−	−	NUM
cana-6155	150	4	3𝑛	3𝑛	NUM
cana-6155	150	5	+	+	CCONJ
cana-6155	150	6	1	1	NUM
cana-6155	150	7	4(3𝑛	4(3𝑛	NUM
cana-6155	150	8	−	−	NOUN
cana-6155	150	9	1	1	NUM
cana-6155	150	10	)	)	PUNCT
cana-6155	150	11	]	]	PUNCT
cana-6155	151	1	[	[	X
cana-6155	151	2	1	1	NUM
cana-6155	151	3	−	−	NOUN
cana-6155	151	4	(	(	PUNCT
cana-6155	151	5	1	1	NUM
cana-6155	151	6	+	+	CCONJ
cana-6155	151	7	𝑧	𝑧	X
cana-6155	151	8	)	)	PUNCT
cana-6155	151	9	1−	1−	NUM
cana-6155	151	10	4(3𝑛−1	4(3𝑛−1	NOUN
cana-6155	151	11	)	)	PUNCT
cana-6155	151	12	(	(	PUNCT
cana-6155	151	13	3𝑛+1	3𝑛+1	NUM
cana-6155	151	14	)	)	PUNCT
cana-6155	151	15	]	]	PUNCT
cana-6155	151	16	(	(	PUNCT
cana-6155	151	17	51	51	NUM
cana-6155	151	18	)	)	PUNCT
cana-6155	151	19	fig	fig	NOUN
cana-6155	151	20	.	.	PUNCT
cana-6155	152	1	13	13	NUM
cana-6155	152	2	.	.	PUNCT
cana-6155	152	3	graph	graph	NOUN
cana-6155	152	4	of	of	ADP
cana-6155	152	5	𝑑(𝑧	𝑑(𝑧	NOUN
cana-6155	152	6	)	)	PUNCT
cana-6155	152	7	versus	versus	ADP
cana-6155	152	8	redshift	redshift	NOUN
cana-6155	152	9	(	(	PUNCT
cana-6155	152	10	𝑧	𝑧	NOUN
cana-6155	152	11	)	)	PUNCT
cana-6155	152	12	5.3	5.3	NUM
cana-6155	152	13	luminosity	luminosity	NOUN
cana-6155	152	14	distance	distance	NOUN
cana-6155	152	15	:	:	PUNCT
cana-6155	152	16	luminosity	luminosity	NOUN
cana-6155	152	17	distance	distance	NOUN
cana-6155	152	18	(	(	PUNCT
cana-6155	152	19	𝑑𝐿	𝑑𝐿	NOUN
cana-6155	152	20	)	)	PUNCT
cana-6155	152	21	is	be	AUX
cana-6155	152	22	given	give	VERB
cana-6155	152	23	by	by	ADP
cana-6155	152	24	,	,	PUNCT
cana-6155	152	25	𝑑𝐿	𝑑𝐿	NOUN
cana-6155	152	26	=	=	NOUN
cana-6155	152	27	𝑟1(𝑧)𝑅0(1	𝑟1(𝑧)𝑅0(1	NOUN
cana-6155	152	28	+	+	CCONJ
cana-6155	152	29	𝑧	𝑧	X
cana-6155	152	30	)	)	PUNCT
cana-6155	152	31	=	=	SYM
cana-6155	152	32	𝑑(𝑧)(1	𝑑(𝑧)(1	PROPN
cana-6155	152	33	+	+	PUNCT
cana-6155	152	34	𝑧	𝑧	X
cana-6155	152	35	)	)	PUNCT
cana-6155	152	36	(	(	PUNCT
cana-6155	152	37	52	52	NUM
cana-6155	152	38	)	)	PUNCT
cana-6155	152	39	substituting	substitute	VERB
cana-6155	152	40	value	value	NOUN
cana-6155	152	41	of	of	ADP
cana-6155	152	42	𝑑(𝑧	𝑑(𝑧	NOUN
cana-6155	152	43	)	)	PUNCT
cana-6155	152	44	from	from	ADP
cana-6155	152	45	equation	equation	NOUN
cana-6155	152	46	(	(	PUNCT
cana-6155	152	47	51	51	NUM
cana-6155	152	48	)	)	PUNCT
cana-6155	152	49	in	in	ADP
cana-6155	152	50	equation	equation	NOUN
cana-6155	152	51	(	(	PUNCT
cana-6155	152	52	52	52	NUM
cana-6155	152	53	)	)	PUNCT
cana-6155	152	54	,	,	PUNCT
cana-6155	152	55	we	we	PRON
cana-6155	152	56	get	get	VERB
cana-6155	152	57	𝑑𝐿	𝑑𝐿	ADJ
cana-6155	152	58	=	=	NOUN
cana-6155	152	59	𝑅0𝑘′	𝑅0𝑘′	X
cana-6155	152	60	𝑘	𝑘	NOUN
cana-6155	153	1	[	[	X
cana-6155	153	2	1	1	NUM
cana-6155	153	3	−	−	NUM
cana-6155	153	4	3𝑛	3𝑛	NUM
cana-6155	153	5	+	+	CCONJ
cana-6155	153	6	1	1	NUM
cana-6155	153	7	4(3𝑛	4(3𝑛	NUM
cana-6155	153	8	−	−	NOUN
cana-6155	153	9	1	1	NUM
cana-6155	153	10	)	)	PUNCT
cana-6155	153	11	]	]	PUNCT
cana-6155	154	1	[	[	X
cana-6155	154	2	1	1	NUM
cana-6155	154	3	−	−	NOUN
cana-6155	154	4	(	(	PUNCT
cana-6155	154	5	1	1	NUM
cana-6155	154	6	+	+	CCONJ
cana-6155	154	7	𝑧	𝑧	X
cana-6155	154	8	)	)	PUNCT
cana-6155	154	9	1−	1−	NUM
cana-6155	154	10	4(3𝑛−1	4(3𝑛−1	NOUN
cana-6155	154	11	)	)	PUNCT
cana-6155	154	12	(	(	PUNCT
cana-6155	154	13	3𝑛+1	3𝑛+1	NUM
cana-6155	154	14	)	)	PUNCT
cana-6155	154	15	]	]	PUNCT
cana-6155	154	16	(	(	PUNCT
cana-6155	154	17	1	1	NUM
cana-6155	154	18	+	+	CCONJ
cana-6155	154	19	𝑧	𝑧	X
cana-6155	154	20	)	)	PUNCT
cana-6155	154	21	(	(	PUNCT
cana-6155	154	22	53	53	NUM
cana-6155	154	23	)	)	PUNCT
cana-6155	154	24	communications	communication	NOUN
cana-6155	154	25	on	on	ADP
cana-6155	154	26	applied	apply	VERB
cana-6155	154	27	nonlinear	nonlinear	ADJ
cana-6155	154	28	analysis	analysis	NOUN
cana-6155	154	29	issn	issn	NOUN
cana-6155	154	30	:	:	PUNCT
cana-6155	154	31	1074	1074	NUM
cana-6155	154	32	-	-	PUNCT
cana-6155	154	33	133x	133x	NUM
cana-6155	154	34	vol	vol	NOUN
cana-6155	154	35	31	31	NUM
cana-6155	154	36	no	no	NOUN
cana-6155	154	37	.	.	PUNCT
cana-6155	155	1	8s	8s	PROPN
cana-6155	155	2	(	(	PUNCT
cana-6155	155	3	2024	2024	NUM
cana-6155	155	4	)	)	PUNCT
cana-6155	155	5	1223	1223	NUM
cana-6155	155	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	155	7	fig	fig	NOUN
cana-6155	155	8	.	.	PUNCT
cana-6155	156	1	14	14	NUM
cana-6155	156	2	.	.	PUNCT
cana-6155	157	1	graph	graph	NOUN
cana-6155	157	2	of	of	ADP
cana-6155	157	3	𝑑𝐿	𝑑𝐿	PROPN
cana-6155	157	4	versus	versus	ADP
cana-6155	157	5	redshift	redshift	NOUN
cana-6155	157	6	(	(	PUNCT
cana-6155	157	7	𝑧	𝑧	NOUN
cana-6155	157	8	)	)	PUNCT
cana-6155	157	9	5.4	5.4	NUM
cana-6155	157	10	angular	angular	ADJ
cana-6155	157	11	diameter	diameter	NOUN
cana-6155	157	12	distance	distance	NOUN
cana-6155	157	13	:	:	PUNCT
cana-6155	157	14	angular	angular	ADJ
cana-6155	157	15	diameter	diameter	NOUN
cana-6155	157	16	distance	distance	NOUN
cana-6155	157	17	𝑑𝐴	𝑑𝐴	NOUN
cana-6155	157	18	is	be	AUX
cana-6155	157	19	given	give	VERB
cana-6155	157	20	by	by	ADP
cana-6155	157	21	,	,	PUNCT
cana-6155	157	22	𝑑𝐴	𝑑𝐴	NUM
cana-6155	157	23	=	=	SYM
cana-6155	157	24	𝑑(𝑧)(1	𝑑(𝑧)(1	PROPN
cana-6155	157	25	+	+	PUNCT
cana-6155	157	26	𝑧)−1	𝑧)−1	NOUN
cana-6155	157	27	(	(	PUNCT
cana-6155	157	28	54	54	NUM
cana-6155	157	29	)	)	PUNCT
cana-6155	157	30	substituting	substitute	VERB
cana-6155	157	31	value	value	NOUN
cana-6155	157	32	of	of	ADP
cana-6155	157	33	𝑑(𝑧	𝑑(𝑧	NOUN
cana-6155	157	34	)	)	PUNCT
cana-6155	157	35	from	from	ADP
cana-6155	157	36	equation	equation	NOUN
cana-6155	157	37	(	(	PUNCT
cana-6155	157	38	51	51	NUM
cana-6155	157	39	)	)	PUNCT
cana-6155	157	40	in	in	ADP
cana-6155	157	41	equation	equation	NOUN
cana-6155	157	42	(	(	PUNCT
cana-6155	157	43	54	54	NUM
cana-6155	157	44	)	)	PUNCT
cana-6155	157	45	,	,	PUNCT
cana-6155	157	46	we	we	PRON
cana-6155	157	47	get	get	VERB
cana-6155	157	48	𝑑𝐴	𝑑𝐴	PRON
cana-6155	157	49	=	=	PUNCT
cana-6155	157	50	𝑅0𝑘′	𝑅0𝑘′	X
cana-6155	157	51	𝑘	𝑘	PRON
cana-6155	157	52	[	[	X
cana-6155	157	53	1	1	NUM
cana-6155	157	54	−	−	NUM
cana-6155	157	55	3𝑛	3𝑛	NUM
cana-6155	157	56	+	+	CCONJ
cana-6155	157	57	1	1	NUM
cana-6155	157	58	4(3𝑛	4(3𝑛	NUM
cana-6155	157	59	−	−	NOUN
cana-6155	157	60	1	1	NUM
cana-6155	157	61	)	)	PUNCT
cana-6155	157	62	]	]	PUNCT
cana-6155	158	1	[	[	X
cana-6155	158	2	1	1	NUM
cana-6155	158	3	−	−	NOUN
cana-6155	158	4	(	(	PUNCT
cana-6155	158	5	1	1	NUM
cana-6155	158	6	+	+	CCONJ
cana-6155	158	7	𝑧	𝑧	X
cana-6155	158	8	)	)	PUNCT
cana-6155	158	9	1−	1−	NUM
cana-6155	158	10	4(3𝑛−1	4(3𝑛−1	NOUN
cana-6155	158	11	)	)	PUNCT
cana-6155	158	12	(	(	PUNCT
cana-6155	158	13	3𝑛+1	3𝑛+1	NUM
cana-6155	158	14	)	)	PUNCT
cana-6155	158	15	]	]	PUNCT
cana-6155	158	16	(	(	PUNCT
cana-6155	158	17	1	1	NUM
cana-6155	158	18	+	+	NUM
cana-6155	158	19	𝑧)−1	𝑧)−1	NOUN
cana-6155	158	20	(	(	PUNCT
cana-6155	158	21	55	55	NUM
cana-6155	158	22	)	)	PUNCT
cana-6155	158	23	fig	fig	NOUN
cana-6155	158	24	.	.	PUNCT
cana-6155	159	1	15	15	NUM
cana-6155	159	2	.	.	PUNCT
cana-6155	160	1	graph	graph	NOUN
cana-6155	160	2	of	of	ADP
cana-6155	160	3	𝑑𝐴	𝑑𝐴	PRON
cana-6155	160	4	versus	versus	ADP
cana-6155	160	5	redshift	redshift	NOUN
cana-6155	160	6	(	(	PUNCT
cana-6155	160	7	𝑧	𝑧	NOUN
cana-6155	160	8	)	)	PUNCT
cana-6155	160	9	5.5	5.5	NUM
cana-6155	160	10	distance	distance	NOUN
cana-6155	160	11	modulus	modulus	NOUN
cana-6155	160	12	:	:	PUNCT
cana-6155	160	13	the	the	DET
cana-6155	160	14	distance	distance	NOUN
cana-6155	160	15	modulus	modulus	ADJ
cana-6155	160	16	𝜇(𝑧	𝜇(𝑧	PROPN
cana-6155	160	17	)	)	PUNCT
cana-6155	160	18	is	be	AUX
cana-6155	160	19	given	give	VERB
cana-6155	160	20	by	by	ADP
cana-6155	160	21	𝜇(𝑧	𝜇(𝑧	PROPN
cana-6155	160	22	)	)	PUNCT
cana-6155	160	23	=	=	SYM
cana-6155	160	24	5	5	NUM
cana-6155	160	25	log	log	NOUN
cana-6155	160	26	𝑑𝐿	𝑑𝐿	ADJ
cana-6155	160	27	+	+	CCONJ
cana-6155	160	28	25	25	NUM
cana-6155	160	29	(	(	PUNCT
cana-6155	160	30	56	56	NUM
cana-6155	160	31	)	)	PUNCT
cana-6155	160	32	substituting	substitute	VERB
cana-6155	160	33	value	value	NOUN
cana-6155	160	34	of	of	ADP
cana-6155	160	35	dl	dl	PROPN
cana-6155	160	36	from	from	ADP
cana-6155	160	37	equation	equation	NOUN
cana-6155	160	38	(	(	PUNCT
cana-6155	160	39	53	53	NUM
cana-6155	160	40	)	)	PUNCT
cana-6155	160	41	in	in	ADP
cana-6155	160	42	equation	equation	NOUN
cana-6155	160	43	(	(	PUNCT
cana-6155	160	44	56	56	NUM
cana-6155	160	45	)	)	PUNCT
cana-6155	160	46	,	,	PUNCT
cana-6155	160	47	we	we	PRON
cana-6155	160	48	get	get	VERB
cana-6155	160	49	communications	communication	NOUN
cana-6155	160	50	on	on	ADP
cana-6155	160	51	applied	apply	VERB
cana-6155	160	52	nonlinear	nonlinear	ADJ
cana-6155	160	53	analysis	analysis	NOUN
cana-6155	160	54	issn	issn	NOUN
cana-6155	160	55	:	:	PUNCT
cana-6155	160	56	1074	1074	NUM
cana-6155	160	57	-	-	PUNCT
cana-6155	160	58	133x	133x	NUM
cana-6155	160	59	vol	vol	NOUN
cana-6155	160	60	31	31	NUM
cana-6155	160	61	no	no	NOUN
cana-6155	160	62	.	.	PUNCT
cana-6155	161	1	8s	8s	PROPN
cana-6155	161	2	(	(	PUNCT
cana-6155	161	3	2024	2024	NUM
cana-6155	161	4	)	)	PUNCT
cana-6155	161	5	1224	1224	NUM
cana-6155	161	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	161	7	𝜇(𝑧	𝜇(𝑧	PROPN
cana-6155	161	8	)	)	PUNCT
cana-6155	161	9	=	=	SYM
cana-6155	161	10	5	5	NUM
cana-6155	161	11	log	log	NOUN
cana-6155	161	12	𝑅0𝑘′	𝑅0𝑘′	NOUN
cana-6155	161	13	𝑘	𝑘	PROPN
cana-6155	162	1	[	[	X
cana-6155	162	2	1	1	NUM
cana-6155	162	3	−	−	NUM
cana-6155	162	4	3𝑛	3𝑛	NUM
cana-6155	162	5	+	+	CCONJ
cana-6155	162	6	1	1	NUM
cana-6155	162	7	4(3𝑛	4(3𝑛	NUM
cana-6155	162	8	−	−	NOUN
cana-6155	162	9	1	1	NUM
cana-6155	162	10	)	)	PUNCT
cana-6155	162	11	]	]	PUNCT
cana-6155	163	1	[	[	X
cana-6155	163	2	1	1	NUM
cana-6155	163	3	−	−	NOUN
cana-6155	163	4	(	(	PUNCT
cana-6155	163	5	1	1	NUM
cana-6155	163	6	+	+	CCONJ
cana-6155	163	7	𝑧	𝑧	X
cana-6155	163	8	)	)	PUNCT
cana-6155	163	9	1−	1−	NUM
cana-6155	163	10	4(3𝑛−1	4(3𝑛−1	NOUN
cana-6155	163	11	)	)	PUNCT
cana-6155	163	12	(	(	PUNCT
cana-6155	163	13	3𝑛+1	3𝑛+1	NUM
cana-6155	163	14	)	)	PUNCT
cana-6155	163	15	]	]	PUNCT
cana-6155	163	16	(	(	PUNCT
cana-6155	163	17	1	1	NUM
cana-6155	163	18	+	+	CCONJ
cana-6155	163	19	𝑧	𝑧	X
cana-6155	163	20	)	)	PUNCT
cana-6155	163	21	+	+	CCONJ
cana-6155	163	22	25	25	NUM
cana-6155	163	23	(	(	PUNCT
cana-6155	163	24	57	57	NUM
cana-6155	163	25	)	)	PUNCT
cana-6155	163	26	6	6	NUM
cana-6155	163	27	.	.	PUNCT
cana-6155	163	28	conclusion	conclusion	NOUN
cana-6155	163	29	in	in	ADP
cana-6155	163	30	the	the	DET
cana-6155	163	31	present	present	ADJ
cana-6155	163	32	paper	paper	NOUN
cana-6155	163	33	,	,	PUNCT
cana-6155	163	34	we	we	PRON
cana-6155	163	35	have	have	AUX
cana-6155	163	36	studied	study	VERB
cana-6155	163	37	a	a	DET
cana-6155	163	38	five	five	NUM
cana-6155	163	39	-	-	PUNCT
cana-6155	163	40	dimensional	dimensional	ADJ
cana-6155	163	41	kaluza	kaluza	PROPN
cana-6155	163	42	-	-	PUNCT
cana-6155	163	43	klein	klein	PROPN
cana-6155	163	44	cosmological	cosmological	PROPN
cana-6155	163	45	model	model	NOUN
cana-6155	163	46	filled	fill	VERB
cana-6155	163	47	with	with	ADP
cana-6155	163	48	barotropic	barotropic	ADJ
cana-6155	163	49	fluid	fluid	NOUN
cana-6155	163	50	and	and	CCONJ
cana-6155	163	51	dark	dark	ADJ
cana-6155	163	52	energy	energy	NOUN
cana-6155	163	53	in	in	ADP
cana-6155	163	54	lyra	lyra	PROPN
cana-6155	163	55	geometry	geometry	NOUN
cana-6155	163	56	by	by	ADP
cana-6155	163	57	considering	consider	VERB
cana-6155	163	58	the	the	DET
cana-6155	163	59	shear	shear	NOUN
cana-6155	163	60	scalar	scalar	ADJ
cana-6155	163	61	(	(	PUNCT
cana-6155	163	62	σ	σ	PROPN
cana-6155	163	63	)	)	PUNCT
cana-6155	163	64	proportional	proportional	NOUN
cana-6155	163	65	to	to	ADP
cana-6155	163	66	the	the	DET
cana-6155	163	67	expansion	expansion	NOUN
cana-6155	163	68	scalar(𝜃	scalar(𝜃	NOUN
cana-6155	163	69	)	)	PUNCT
cana-6155	163	70	.	.	PUNCT
cana-6155	164	1	we	we	PRON
cana-6155	164	2	have	have	AUX
cana-6155	164	3	derived	derive	VERB
cana-6155	164	4	physical	physical	ADJ
cana-6155	164	5	and	and	CCONJ
cana-6155	164	6	kinematical	kinematical	ADJ
cana-6155	164	7	parameters	parameter	NOUN
cana-6155	164	8	for	for	ADP
cana-6155	164	9	both	both	CCONJ
cana-6155	164	10	the	the	DET
cana-6155	164	11	interacting	interacting	ADJ
cana-6155	164	12	and	and	CCONJ
cana-6155	164	13	non	non	ADJ
cana-6155	164	14	-	-	ADJ
cana-6155	164	15	interacting	interacting	ADJ
cana-6155	164	16	scenarios	scenario	NOUN
cana-6155	164	17	.	.	PUNCT
cana-6155	165	1	in	in	ADP
cana-6155	165	2	the	the	DET
cana-6155	165	3	physical	physical	ADJ
cana-6155	165	4	parameters	parameter	NOUN
cana-6155	165	5	,	,	PUNCT
cana-6155	165	6	spatial	spatial	ADJ
cana-6155	165	7	volume	volume	NOUN
cana-6155	165	8	(	(	PUNCT
cana-6155	165	9	𝑉	𝑉	PROPN
cana-6155	165	10	)	)	PUNCT
cana-6155	165	11	increases	increase	NOUN
cana-6155	165	12	with	with	ADP
cana-6155	165	13	cosmic	cosmic	ADJ
cana-6155	165	14	time(𝑡	time(𝑡	PROPN
cana-6155	165	15	)	)	PUNCT
cana-6155	165	16	,	,	PUNCT
cana-6155	165	17	resulting	result	VERB
cana-6155	165	18	in	in	ADP
cana-6155	165	19	a	a	DET
cana-6155	165	20	model	model	NOUN
cana-6155	165	21	that	that	PRON
cana-6155	165	22	begins	begin	VERB
cana-6155	165	23	to	to	PART
cana-6155	165	24	evolve	evolve	VERB
cana-6155	165	25	at	at	ADP
cana-6155	165	26	an	an	DET
cana-6155	165	27	initial	initial	ADJ
cana-6155	165	28	instant	instant	NOUN
cana-6155	165	29	with	with	ADP
cana-6155	165	30	zero	zero	NUM
cana-6155	165	31	volume	volume	NOUN
cana-6155	165	32	and	and	CCONJ
cana-6155	165	33	an	an	DET
cana-6155	165	34	infinite	infinite	ADJ
cana-6155	165	35	expansion	expansion	NOUN
cana-6155	165	36	rate	rate	NOUN
cana-6155	165	37	.	.	PUNCT
cana-6155	166	1	the	the	DET
cana-6155	166	2	hubble	hubble	PROPN
cana-6155	166	3	parameter(𝐻	parameter(𝐻	PROPN
cana-6155	166	4	)	)	PUNCT
cana-6155	166	5	,	,	PUNCT
cana-6155	166	6	expansion	expansion	NOUN
cana-6155	166	7	scalar	scalar	NOUN
cana-6155	166	8	(	(	PUNCT
cana-6155	166	9	𝜃	𝜃	NOUN
cana-6155	166	10	)	)	PUNCT
cana-6155	166	11	and	and	CCONJ
cana-6155	166	12	the	the	DET
cana-6155	166	13	shear	shear	NOUN
cana-6155	166	14	scalar	scalar	ADJ
cana-6155	166	15	(	(	PUNCT
cana-6155	166	16	𝜎2	𝜎2	NOUN
cana-6155	166	17	)	)	PUNCT
cana-6155	166	18	diverges	diverge	VERB
cana-6155	166	19	for	for	ADP
cana-6155	166	20	initial	initial	ADJ
cana-6155	166	21	time(𝑡	time(𝑡	NOUN
cana-6155	166	22	)	)	PUNCT
cana-6155	166	23	,	,	PUNCT
cana-6155	166	24	and	and	CCONJ
cana-6155	166	25	it	it	PRON
cana-6155	166	26	decreases	decrease	VERB
cana-6155	166	27	as	as	ADP
cana-6155	166	28	time	time	NOUN
cana-6155	166	29	increases	increase	NOUN
cana-6155	166	30	and	and	CCONJ
cana-6155	166	31	tends	tend	VERB
cana-6155	166	32	to	to	ADP
cana-6155	166	33	zero	zero	NUM
cana-6155	166	34	as	as	ADP
cana-6155	166	35	𝑡	𝑡	PROPN
cana-6155	166	36	→	→	SYM
cana-6155	166	37	∞.	∞.	PROPN
cana-6155	166	38	at	at	ADP
cana-6155	166	39	the	the	DET
cana-6155	166	40	same	same	ADJ
cana-6155	166	41	time	time	NOUN
cana-6155	166	42	,	,	PUNCT
cana-6155	166	43	the	the	DET
cana-6155	166	44	displacement	displacement	ADJ
cana-6155	166	45	vector	vector	NOUN
cana-6155	166	46	(	(	PUNCT
cana-6155	166	47	𝛽	𝛽	NOUN
cana-6155	166	48	)	)	PUNCT
cana-6155	166	49	decreases	decrease	NOUN
cana-6155	166	50	and	and	CCONJ
cana-6155	166	51	tends	tend	VERB
cana-6155	166	52	to	to	ADP
cana-6155	166	53	zero	zero	NUM
cana-6155	166	54	as	as	SCONJ
cana-6155	166	55	𝑡	𝑡	PROPN
cana-6155	166	56	→	→	SYM
cana-6155	166	57	∞.	∞.	PROPN
cana-6155	166	58	the	the	DET
cana-6155	166	59	recent	recent	ADJ
cana-6155	166	60	observations	observation	NOUN
cana-6155	166	61	of	of	ADP
cana-6155	166	62	supernovae	supernovae	NOUN
cana-6155	166	63	-	-	PUNCT
cana-6155	166	64	ia	ia	NOUN
cana-6155	166	65	reveal	reveal	VERB
cana-6155	166	66	that	that	SCONJ
cana-6155	166	67	the	the	DET
cana-6155	166	68	present	present	ADJ
cana-6155	166	69	universe	universe	NOUN
cana-6155	166	70	is	be	AUX
cana-6155	166	71	accelerating	accelerate	VERB
cana-6155	166	72	,	,	PUNCT
cana-6155	166	73	and	and	CCONJ
cana-6155	166	74	the	the	DET
cana-6155	166	75	value	value	NOUN
cana-6155	166	76	of	of	ADP
cana-6155	166	77	the	the	DET
cana-6155	166	78	deceleration	deceleration	NOUN
cana-6155	166	79	parameter	parameter	NOUN
cana-6155	166	80	(	(	PUNCT
cana-6155	166	81	𝑞	𝑞	NOUN
cana-6155	166	82	)	)	PUNCT
cana-6155	166	83	lie	lie	VERB
cana-6155	166	84	somewhere	somewhere	ADV
cana-6155	166	85	in	in	ADP
cana-6155	166	86	the	the	DET
cana-6155	166	87	range	range	NOUN
cana-6155	166	88	−1	−1	NOUN
cana-6155	166	89	≤	≤	X
cana-6155	166	90	𝑞	𝑞	X
cana-6155	166	91	≤	≤	NOUN
cana-6155	166	92	0	0	NUM
cana-6155	166	93	.	.	PUNCT
cana-6155	167	1	since	since	SCONJ
cana-6155	167	2	𝑞	𝑞	X
cana-6155	167	3	<	<	X
cana-6155	167	4	0	0	PUNCT
cana-6155	167	5	for	for	ADP
cana-6155	167	6	1	1	NUM
cana-6155	167	7	3	3	NUM
cana-6155	167	8	<	<	X
cana-6155	167	9	𝑛	𝑛	DET
cana-6155	167	10	≤	≤	NUM
cana-6155	167	11	5	5	NUM
cana-6155	167	12	9	9	NUM
cana-6155	167	13	,	,	PUNCT
cana-6155	167	14	the	the	DET
cana-6155	167	15	inclusion	inclusion	NOUN
cana-6155	167	16	of	of	ADP
cana-6155	167	17	the	the	DET
cana-6155	167	18	dark	dark	ADJ
cana-6155	167	19	energy	energy	NOUN
cana-6155	167	20	into	into	ADP
cana-6155	167	21	the	the	DET
cana-6155	167	22	system	system	NOUN
cana-6155	167	23	gives	give	VERB
cana-6155	167	24	rise	rise	NOUN
cana-6155	167	25	to	to	ADP
cana-6155	167	26	an	an	DET
cana-6155	167	27	accelerated	accelerated	ADJ
cana-6155	167	28	expansion	expansion	NOUN
cana-6155	167	29	of	of	ADP
cana-6155	167	30	the	the	DET
cana-6155	167	31	universe	universe	NOUN
cana-6155	167	32	.	.	PUNCT
cana-6155	168	1	equation	equation	NOUN
cana-6155	168	2	(	(	PUNCT
cana-6155	168	3	25	25	NUM
cana-6155	168	4	)	)	PUNCT
cana-6155	168	5	and	and	CCONJ
cana-6155	168	6	(	(	PUNCT
cana-6155	168	7	21	21	NUM
cana-6155	168	8	)	)	PUNCT
cana-6155	168	9	shows	show	VERB
cana-6155	168	10	that	that	SCONJ
cana-6155	168	11	lim	lim	PROPN
cana-6155	168	12	𝑡→∞	𝑡→∞	NUM
cana-6155	168	13	𝜎2	𝜎2	PROPN
cana-6155	168	14	𝜃2	𝜃2	VERB
cana-6155	168	15	≠	≠	PROPN
cana-6155	168	16	0	0	NUM
cana-6155	168	17	,	,	PUNCT
cana-6155	168	18	and	and	CCONJ
cana-6155	168	19	the	the	DET
cana-6155	168	20	anisotropic	anisotropic	NOUN
cana-6155	168	21	parameter	parameter	NOUN
cana-6155	168	22	(	(	PUNCT
cana-6155	168	23	δ	δ	NOUN
cana-6155	168	24	)	)	PUNCT
cana-6155	168	25	does	do	AUX
cana-6155	168	26	not	not	PART
cana-6155	168	27	vanish	vanish	VERB
cana-6155	168	28	for	for	ADP
cana-6155	168	29	1	1	NUM
cana-6155	168	30	3	3	NUM
cana-6155	168	31	<	<	X
cana-6155	168	32	𝑛	𝑛	DET
cana-6155	168	33	≤	≤	NUM
cana-6155	168	34	5	5	NUM
cana-6155	168	35	9	9	NUM
cana-6155	168	36	.	.	PUNCT
cana-6155	169	1	hence	hence	ADV
cana-6155	169	2	,	,	PUNCT
cana-6155	169	3	this	this	DET
cana-6155	169	4	model	model	NOUN
cana-6155	169	5	does	do	AUX
cana-6155	169	6	not	not	PART
cana-6155	169	7	tend	tend	VERB
cana-6155	169	8	to	to	PART
cana-6155	169	9	isotropy	isotropy	VERB
cana-6155	169	10	.	.	PUNCT
cana-6155	170	1	hence	hence	ADV
cana-6155	170	2	,	,	PUNCT
cana-6155	170	3	our	our	PRON
cana-6155	170	4	model	model	NOUN
cana-6155	170	5	is	be	AUX
cana-6155	170	6	totally	totally	ADV
cana-6155	170	7	anisotropic	anisotropic	ADJ
cana-6155	170	8	and	and	CCONJ
cana-6155	170	9	spatially	spatially	ADV
cana-6155	170	10	homogeneous	homogeneous	ADJ
cana-6155	170	11	.	.	PUNCT
cana-6155	171	1	for	for	ADP
cana-6155	171	2	both	both	CCONJ
cana-6155	171	3	interacting	interact	VERB
cana-6155	171	4	and	and	CCONJ
cana-6155	171	5	non	non	ADJ
cana-6155	171	6	-	-	ADJ
cana-6155	171	7	interacting	interacting	ADJ
cana-6155	171	8	cases	case	NOUN
cana-6155	171	9	,	,	PUNCT
cana-6155	171	10	the	the	DET
cana-6155	171	11	pressure	pressure	NOUN
cana-6155	171	12	and	and	CCONJ
cana-6155	171	13	density	density	NOUN
cana-6155	171	14	of	of	ADP
cana-6155	171	15	dark	dark	ADJ
cana-6155	171	16	energy	energy	NOUN
cana-6155	171	17	and	and	CCONJ
cana-6155	171	18	barotropic	barotropic	ADJ
cana-6155	171	19	fluid	fluid	NOUN
cana-6155	171	20	diverge	diverge	NOUN
cana-6155	171	21	for	for	ADP
cana-6155	171	22	initial	initial	ADJ
cana-6155	171	23	cosmic	cosmic	ADJ
cana-6155	171	24	time	time	NOUN
cana-6155	171	25	(	(	PUNCT
cana-6155	171	26	𝑡	𝑡	NOUN
cana-6155	171	27	)	)	PUNCT
cana-6155	171	28	and	and	CCONJ
cana-6155	171	29	tends	tend	VERB
cana-6155	171	30	to	to	ADP
cana-6155	171	31	zero	zero	NUM
cana-6155	171	32	as	as	ADP
cana-6155	171	33	𝑡	𝑡	PROPN
cana-6155	171	34	→	→	SYM
cana-6155	171	35	∞.	∞.	PROPN
cana-6155	171	36	we	we	PRON
cana-6155	171	37	also	also	ADV
cana-6155	171	38	consider	consider	VERB
cana-6155	171	39	the	the	DET
cana-6155	171	40	consistency	consistency	NOUN
cana-6155	171	41	of	of	ADP
cana-6155	171	42	our	our	PRON
cana-6155	171	43	models	model	NOUN
cana-6155	171	44	with	with	ADP
cana-6155	171	45	observational	observational	ADJ
cana-6155	171	46	parameters	parameter	NOUN
cana-6155	171	47	such	such	ADJ
cana-6155	171	48	as	as	ADP
cana-6155	171	49	look	look	VERB
cana-6155	171	50	-	-	PUNCT
cana-6155	171	51	back	back	NOUN
cana-6155	171	52	time	time	NOUN
cana-6155	171	53	,	,	PUNCT
cana-6155	171	54	proper	proper	ADJ
cana-6155	171	55	distance	distance	NOUN
cana-6155	171	56	,	,	PUNCT
cana-6155	171	57	luminosity	luminosity	NOUN
cana-6155	171	58	distance	distance	NOUN
cana-6155	171	59	,	,	PUNCT
cana-6155	171	60	angular	angular	ADJ
cana-6155	171	61	diameter	diameter	NOUN
cana-6155	171	62	and	and	CCONJ
cana-6155	171	63	distance	distance	NOUN
cana-6155	171	64	modulus	modulus	NOUN
cana-6155	171	65	.	.	PUNCT
cana-6155	172	1	the	the	DET
cana-6155	172	2	solutions	solution	NOUN
cana-6155	172	3	obtained	obtain	VERB
cana-6155	172	4	are	be	AUX
cana-6155	172	5	consistent	consistent	ADJ
cana-6155	172	6	with	with	ADP
cana-6155	172	7	recent	recent	ADJ
cana-6155	172	8	observational	observational	ADJ
cana-6155	172	9	results	result	NOUN
cana-6155	172	10	.	.	PUNCT
cana-6155	173	1	acknowledgement	acknowledgement	NOUN
cana-6155	173	2	one	one	NUM
cana-6155	173	3	of	of	ADP
cana-6155	173	4	the	the	DET
cana-6155	173	5	authors	author	NOUN
cana-6155	173	6	p.	p.	PROPN
cana-6155	173	7	w.	w.	PROPN
cana-6155	173	8	gaidhane	gaidhane	PROPN
cana-6155	173	9	is	be	AUX
cana-6155	173	10	grateful	grateful	ADJ
cana-6155	173	11	to	to	ADP
cana-6155	173	12	the	the	DET
cana-6155	173	13	university	university	NOUN
cana-6155	173	14	grants	grant	NOUN
cana-6155	173	15	commission	commission	PROPN
cana-6155	173	16	(	(	PUNCT
cana-6155	173	17	ugc	ugc	PROPN
cana-6155	173	18	)	)	PUNCT
cana-6155	173	19	new	new	ADJ
cana-6155	173	20	delhi	delhi	PROPN
cana-6155	173	21	,	,	PUNCT
cana-6155	173	22	for	for	ADP
cana-6155	173	23	providing	provide	VERB
cana-6155	173	24	the	the	DET
cana-6155	173	25	financial	financial	ADJ
cana-6155	173	26	assistance	assistance	NOUN
cana-6155	173	27	.	.	PUNCT
cana-6155	174	1	6	6	X
cana-6155	174	2	.	.	X
cana-6155	174	3	reference	reference	NOUN
cana-6155	174	4	1	1	NUM
cana-6155	174	5	.	.	PUNCT
cana-6155	175	1	perlmutter	perlmutter	PROPN
cana-6155	175	2	s	s	PROPN
cana-6155	175	3	,	,	PUNCT
cana-6155	175	4	gabi	gabi	PROPN
cana-6155	175	5	s	s	PART
cana-6155	175	6	,	,	PUNCT
cana-6155	175	7	goldhaber	goldhaber	ADV
cana-6155	175	8	g	g	NOUN
cana-6155	175	9	,	,	PUNCT
cana-6155	175	10	goobar	goobar	PROPN
cana-6155	175	11	a	a	PROPN
cana-6155	175	12	,	,	PUNCT
cana-6155	175	13	groom	groom	X
cana-6155	175	14	de	de	X
cana-6155	175	15	,	,	PUNCT
cana-6155	175	16	hook	hook	NOUN
cana-6155	175	17	i	i	PRON
cana-6155	175	18	m	m	PROPN
cana-6155	175	19	,	,	PUNCT
cana-6155	175	20	kim	kim	PROPN
cana-6155	175	21	ag	ag	PROPN
cana-6155	175	22	,	,	PUNCT
cana-6155	175	23	kim	kim	PROPN
cana-6155	175	24	my	my	PRON
cana-6155	175	25	,	,	PUNCT
cana-6155	175	26	lee	lee	PROPN
cana-6155	175	27	jc	jc	PROPN
cana-6155	175	28	,	,	PUNCT
cana-6155	175	29	pain	pain	NOUN
cana-6155	175	30	r	r	NOUN
cana-6155	175	31	,	,	PUNCT
cana-6155	176	1	pennypacker	pennypacker	NOUN
cana-6155	176	2	cr	cr	PROPN
cana-6155	176	3	.	.	PUNCT
cana-6155	176	4	measurements	measurement	NOUN
cana-6155	176	5	*	*	PUNCT
cana-6155	176	6	of	of	ADP
cana-6155	176	7	the	the	DET
cana-6155	176	8	cosmological	cosmological	ADJ
cana-6155	176	9	parameters	parameter	NOUN
cana-6155	176	10	ω	ω	PROPN
cana-6155	176	11	and	and	CCONJ
cana-6155	176	12	λ	λ	PROPN
cana-6155	176	13	from	from	ADP
cana-6155	176	14	the	the	DET
cana-6155	176	15	first	first	ADJ
cana-6155	176	16	seven	seven	NUM
cana-6155	176	17	supernovae	supernovae	NOUN
cana-6155	176	18	at	at	ADP
cana-6155	176	19	z≥	z≥	PROPN
cana-6155	176	20	0.35	0.35	NUM
cana-6155	176	21	.	.	PUNCT
cana-6155	177	1	the	the	DET
cana-6155	177	2	astrophysical	astrophysical	ADJ
cana-6155	177	3	journal	journal	NOUN
cana-6155	177	4	.	.	PUNCT
cana-6155	178	1	1997	1997	NUM
cana-6155	178	2	jul	jul	PROPN
cana-6155	178	3	10;483(2):565	10;483(2):565	NOUN
cana-6155	178	4	.	.	PUNCT
cana-6155	179	1	doi	doi	NOUN
cana-6155	179	2	:	:	PUNCT
cana-6155	179	3	10.1086/304265	10.1086/304265	NUM
cana-6155	179	4	2	2	NUM
cana-6155	179	5	.	.	PUNCT
cana-6155	180	1	perlmutter	perlmutter	PROPN
cana-6155	180	2	s	s	PART
cana-6155	180	3	,	,	PUNCT
cana-6155	180	4	aldering	aldere	VERB
cana-6155	180	5	g	g	PRON
cana-6155	180	6	,	,	PUNCT
cana-6155	180	7	valle	valle	PROPN
cana-6155	180	8	md	md	PROPN
cana-6155	180	9	,	,	PUNCT
cana-6155	180	10	deustua	deustua	VERB
cana-6155	180	11	s	s	PROPN
cana-6155	180	12	,	,	PUNCT
cana-6155	180	13	ellis	ellis	PROPN
cana-6155	180	14	rs	rs	PROPN
cana-6155	180	15	,	,	PUNCT
cana-6155	180	16	fabbro	fabbro	NOUN
cana-6155	180	17	s	s	PROPN
cana-6155	180	18	,	,	PUNCT
cana-6155	180	19	fruchter	fruchter	NOUN
cana-6155	180	20	a	a	NOUN
cana-6155	180	21	,	,	PUNCT
cana-6155	180	22	goldhaber	goldhaber	NOUN
cana-6155	180	23	g	g	NOUN
cana-6155	180	24	,	,	PUNCT
cana-6155	180	25	groom	groom	X
cana-6155	180	26	de	de	X
cana-6155	180	27	,	,	PUNCT
cana-6155	180	28	hook	hook	NOUN
cana-6155	180	29	i	i	PRON
cana-6155	180	30	m	m	PROPN
cana-6155	180	31	,	,	PUNCT
cana-6155	181	1	kim	kim	PROPN
cana-6155	181	2	ag	ag	PROPN
cana-6155	181	3	.	.	PROPN
cana-6155	181	4	discovery	discovery	PROPN
cana-6155	181	5	of	of	ADP
cana-6155	181	6	a	a	DET
cana-6155	181	7	supernova	supernova	NOUN
cana-6155	181	8	explosion	explosion	NOUN
cana-6155	181	9	at	at	ADP
cana-6155	181	10	half	half	DET
cana-6155	181	11	the	the	DET
cana-6155	181	12	age	age	NOUN
cana-6155	181	13	of	of	ADP
cana-6155	181	14	the	the	DET
cana-6155	181	15	universe	universe	NOUN
cana-6155	181	16	.	.	PUNCT
cana-6155	182	1	nature	nature	NOUN
cana-6155	182	2	.	.	PUNCT
cana-6155	183	1	1998	1998	NUM
cana-6155	183	2	jan	jan	NOUN
cana-6155	183	3	1;391(6662):51	1;391(6662):51	NUM
cana-6155	183	4	-	-	SYM
cana-6155	183	5	4	4	NUM
cana-6155	183	6	.	.	PUNCT
cana-6155	184	1	https://doi.org/10.1038/34124	https://doi.org/10.1038/34124	ADJ
cana-6155	184	2	3	3	X
cana-6155	184	3	.	.	PUNCT
cana-6155	185	1	perlmutter	perlmutter	PROPN
cana-6155	185	2	s	s	PART
cana-6155	185	3	,	,	PUNCT
cana-6155	185	4	aldering	aldere	VERB
cana-6155	185	5	g	g	PRON
cana-6155	185	6	,	,	PUNCT
cana-6155	185	7	goldhaber	goldhaber	ADV
cana-6155	185	8	g	g	PROPN
cana-6155	185	9	,	,	PUNCT
cana-6155	185	10	knop	knop	PROPN
cana-6155	185	11	ra	ra	PROPN
cana-6155	185	12	,	,	PUNCT
cana-6155	185	13	nugent	nugent	PROPN
cana-6155	185	14	p	p	PROPN
cana-6155	185	15	,	,	PUNCT
cana-6155	185	16	castro	castro	PROPN
cana-6155	185	17	pg	pg	PROPN
cana-6155	185	18	,	,	PUNCT
cana-6155	185	19	deustua	deustua	VERB
cana-6155	185	20	s	s	PROPN
cana-6155	185	21	,	,	PUNCT
cana-6155	185	22	fabbro	fabbro	PROPN
cana-6155	185	23	s	s	PART
cana-6155	185	24	,	,	PUNCT
cana-6155	185	25	goobar	goobar	PROPN
cana-6155	185	26	a	a	NOUN
cana-6155	185	27	,	,	PUNCT
cana-6155	185	28	groom	groom	X
cana-6155	185	29	de	de	X
cana-6155	185	30	,	,	PUNCT
cana-6155	185	31	hook	hook	NOUN
cana-6155	185	32	i	i	PRON
cana-6155	185	33	m.	m.	NOUN
cana-6155	185	34	measurements	measurement	NOUN
cana-6155	185	35	of	of	ADP
cana-6155	185	36	ω	ω	PROPN
cana-6155	185	37	and	and	CCONJ
cana-6155	185	38	λ	λ	PROPN
cana-6155	185	39	from	from	ADP
cana-6155	185	40	42	42	NUM
cana-6155	185	41	high	high	ADJ
cana-6155	185	42	-	-	PUNCT
cana-6155	185	43	redshift	redshift	NOUN
cana-6155	185	44	supernovae	supernovae	NOUN
cana-6155	185	45	.	.	PUNCT
cana-6155	186	1	the	the	DET
cana-6155	186	2	astrophysical	astrophysical	ADJ
cana-6155	186	3	journal	journal	NOUN
cana-6155	186	4	.	.	PUNCT
cana-6155	187	1	1999	1999	NUM
cana-6155	187	2	jun	jun	PROPN
cana-6155	187	3	1;517(2):565	1;517(2):565	NUM
cana-6155	187	4	.	.	PUNCT
cana-6155	188	1	doi	doi	NOUN
cana-6155	188	2	:	:	PUNCT
cana-6155	188	3	10.1086/307221	10.1086/307221	NUM
cana-6155	188	4	4	4	NUM
cana-6155	188	5	.	.	PUNCT
cana-6155	188	6	riess	riess	PROPN
cana-6155	188	7	ag	ag	PROPN
cana-6155	188	8	,	,	PUNCT
cana-6155	188	9	filippenko	filippenko	PROPN
cana-6155	188	10	av	av	NOUN
cana-6155	188	11	,	,	PUNCT
cana-6155	188	12	challis	challi	NOUN
cana-6155	188	13	p	p	NOUN
cana-6155	188	14	,	,	PUNCT
cana-6155	188	15	clocchiatti	clocchiatti	NOUN
cana-6155	188	16	a	a	PRON
cana-6155	188	17	,	,	PUNCT
cana-6155	188	18	diercks	diercks	PROPN
cana-6155	188	19	a	a	PRON
cana-6155	188	20	,	,	PUNCT
cana-6155	188	21	garnavich	garnavich	ADJ
cana-6155	188	22	pm	pm	NOUN
cana-6155	188	23	,	,	PUNCT
cana-6155	188	24	gilliland	gilliland	PROPN
cana-6155	188	25	rl	rl	PROPN
cana-6155	188	26	,	,	PUNCT
cana-6155	188	27	hogan	hogan	PROPN
cana-6155	188	28	cj	cj	PROPN
cana-6155	188	29	,	,	PUNCT
cana-6155	188	30	jha	jha	PROPN
cana-6155	188	31	s	s	PROPN
cana-6155	188	32	,	,	PUNCT
cana-6155	188	33	kirshner	kirshner	PROPN
cana-6155	188	34	rp	rp	PROPN
cana-6155	188	35	,	,	PUNCT
cana-6155	188	36	leibundgut	leibundgut	PROPN
cana-6155	188	37	br	br	PROPN
cana-6155	188	38	.	.	PUNCT
cana-6155	189	1	observational	observational	ADJ
cana-6155	189	2	evidence	evidence	NOUN
cana-6155	189	3	from	from	ADP
cana-6155	189	4	supernovae	supernovae	NOUN
cana-6155	189	5	for	for	ADP
cana-6155	189	6	an	an	DET
cana-6155	189	7	accelerating	accelerate	VERB
cana-6155	189	8	universe	universe	NOUN
cana-6155	189	9	and	and	CCONJ
cana-6155	189	10	a	a	DET
cana-6155	189	11	cosmological	cosmological	ADJ
cana-6155	189	12	constant	constant	ADJ
cana-6155	189	13	.	.	PUNCT
cana-6155	190	1	the	the	DET
cana-6155	190	2	astronomical	astronomical	ADJ
cana-6155	190	3	journal	journal	NOUN
cana-6155	190	4	.	.	PUNCT
cana-6155	191	1	1998	1998	NUM
cana-6155	191	2	sep	sep	PROPN
cana-6155	191	3	1;116(3):1009	1;116(3):1009	NUM
cana-6155	191	4	.	.	PUNCT
cana-6155	192	1	doi	doi	NOUN
cana-6155	192	2	:	:	PUNCT
cana-6155	192	3	10.1086/300499	10.1086/300499	NUM
cana-6155	192	4	5	5	NUM
cana-6155	192	5	.	.	PUNCT
cana-6155	193	1	weinberg	weinberg	PROPN
cana-6155	193	2	s.	s.	PROPN
cana-6155	193	3	the	the	DET
cana-6155	193	4	cosmological	cosmological	ADJ
cana-6155	193	5	constant	constant	ADJ
cana-6155	193	6	problem	problem	NOUN
cana-6155	193	7	.	.	PUNCT
cana-6155	194	1	reviews	review	NOUN
cana-6155	194	2	of	of	ADP
cana-6155	194	3	modern	modern	ADJ
cana-6155	194	4	physics	physic	NOUN
cana-6155	194	5	.	.	PUNCT
cana-6155	195	1	1989	1989	NUM
cana-6155	195	2	jan	jan	PROPN
cana-6155	195	3	1;61(1):1	1;61(1):1	NUM
cana-6155	195	4	.	.	PUNCT
cana-6155	196	1	https://doi.org/10.1103/revmodphys.61.1	https://doi.org/10.1103/revmodphys.61.1	PROPN
cana-6155	196	2	6	6	NUM
cana-6155	196	3	.	.	PUNCT
cana-6155	197	1	peebles	peebles	PROPN
cana-6155	197	2	pj	pj	PROPN
cana-6155	197	3	,	,	PUNCT
cana-6155	197	4	vilenkin	vilenkin	PROPN
cana-6155	197	5	a.	a.	PROPN
cana-6155	197	6	quintessential	quintessential	ADJ
cana-6155	197	7	inflation	inflation	NOUN
cana-6155	197	8	.	.	PUNCT
cana-6155	198	1	physical	physical	PROPN
cana-6155	198	2	review	review	PROPN
cana-6155	198	3	d.	d.	PROPN
cana-6155	198	4	1999	1999	NUM
cana-6155	198	5	feb	feb	PROPN
cana-6155	198	6	12;59(6):063505	12;59(6):063505	NUM
cana-6155	198	7	.	.	PUNCT
cana-6155	199	1	https://doi.org/10.1103/physrevd.59.063505	https://doi.org/10.1103/physrevd.59.063505	PROPN
cana-6155	199	2	7	7	NUM
cana-6155	199	3	.	.	PUNCT
cana-6155	199	4	akarsu	akarsu	PROPN
cana-6155	199	5	ö	ö	PROPN
cana-6155	199	6	,	,	PUNCT
cana-6155	199	7	kılınç	kılınç	PROPN
cana-6155	199	8	cb	cb	PROPN
cana-6155	199	9	.	.	PROPN
cana-6155	199	10	lrs	lrs	PROPN
cana-6155	199	11	bianchi	bianchi	PROPN
cana-6155	199	12	type	type	NOUN
cana-6155	199	13	i	i	PRON
cana-6155	199	14	models	model	VERB
cana-6155	199	15	with	with	ADP
cana-6155	199	16	anisotropic	anisotropic	NOUN
cana-6155	199	17	dark	dark	ADJ
cana-6155	199	18	energy	energy	NOUN
cana-6155	199	19	and	and	CCONJ
cana-6155	199	20	constant	constant	ADJ
cana-6155	199	21	deceleration	deceleration	NOUN
cana-6155	199	22	parameter	parameter	NOUN
cana-6155	199	23	.	.	PUNCT
cana-6155	200	1	general	general	ADJ
cana-6155	200	2	relativity	relativity	NOUN
cana-6155	200	3	and	and	CCONJ
cana-6155	200	4	gravitation	gravitation	NOUN
cana-6155	200	5	.	.	PUNCT
cana-6155	201	1	2010	2010	NUM
cana-6155	201	2	jan;42:119	jan;42:119	PROPN
cana-6155	201	3	-	-	SYM
cana-6155	201	4	40	40	NUM
cana-6155	201	5	.	.	PUNCT
cana-6155	202	1	https://doi.org/10.1007/s10714-009-0821-y	https://doi.org/10.1007/s10714-009-0821-y	PROPN
cana-6155	202	2	8	8	NUM
cana-6155	202	3	.	.	PUNCT
cana-6155	203	1	akarsu	akarsu	PROPN
cana-6155	203	2	ö	ö	PROPN
cana-6155	203	3	,	,	PUNCT
cana-6155	203	4	kılınç	kılınç	PROPN
cana-6155	203	5	cb	cb	PROPN
cana-6155	203	6	.	.	PROPN
cana-6155	203	7	bianchi	bianchi	PROPN
cana-6155	203	8	type	type	NOUN
cana-6155	203	9	iii	iii	NUM
cana-6155	203	10	models	model	NOUN
cana-6155	203	11	with	with	ADP
cana-6155	203	12	anisotropic	anisotropic	NOUN
cana-6155	203	13	dark	dark	ADJ
cana-6155	203	14	energy	energy	NOUN
cana-6155	203	15	.	.	PUNCT
cana-6155	204	1	general	general	ADJ
cana-6155	204	2	relativity	relativity	NOUN
cana-6155	204	3	and	and	CCONJ
cana-6155	204	4	gravitation	gravitation	NOUN
cana-6155	204	5	.	.	PUNCT
cana-6155	205	1	2010	2010	NUM
cana-6155	205	2	apr;42(4):763	apr;42(4):763	PROPN
cana-6155	205	3	-	-	PUNCT
cana-6155	205	4	75	75	NUM
cana-6155	205	5	.	.	PUNCT
cana-6155	205	6	https://doi.org/10.1007/s10714-009-0878-7	https://doi.org/10.1007/s10714-009-0878-7	NUM
cana-6155	205	7	communications	communication	NOUN
cana-6155	205	8	on	on	ADP
cana-6155	205	9	applied	apply	VERB
cana-6155	205	10	nonlinear	nonlinear	ADJ
cana-6155	205	11	analysis	analysis	NOUN
cana-6155	205	12	issn	issn	NOUN
cana-6155	205	13	:	:	PUNCT
cana-6155	205	14	1074	1074	NUM
cana-6155	205	15	-	-	PUNCT
cana-6155	205	16	133x	133x	NUM
cana-6155	205	17	vol	vol	NOUN
cana-6155	205	18	31	31	NUM
cana-6155	205	19	no	no	NOUN
cana-6155	205	20	.	.	PUNCT
cana-6155	206	1	8s	8s	PROPN
cana-6155	206	2	(	(	PUNCT
cana-6155	206	3	2024	2024	NUM
cana-6155	206	4	)	)	PUNCT
cana-6155	206	5	1225	1225	NUM
cana-6155	206	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	206	7	9	9	X
cana-6155	206	8	.	.	PUNCT
cana-6155	206	9	yadav	yadav	PROPN
cana-6155	206	10	ak	ak	PROPN
cana-6155	206	11	,	,	PUNCT
cana-6155	206	12	rahaman	rahaman	NOUN
cana-6155	206	13	f	f	NOUN
cana-6155	206	14	,	,	PUNCT
cana-6155	206	15	ray	ray	PROPN
cana-6155	206	16	s.	s.	PROPN
cana-6155	206	17	dark	dark	PROPN
cana-6155	206	18	energy	energy	NOUN
cana-6155	206	19	models	model	NOUN
cana-6155	206	20	with	with	ADP
cana-6155	206	21	variable	variable	ADJ
cana-6155	206	22	equation	equation	NOUN
cana-6155	206	23	of	of	ADP
cana-6155	206	24	state	state	NOUN
cana-6155	206	25	parameter	parameter	NOUN
cana-6155	206	26	.	.	PUNCT
cana-6155	207	1	international	international	ADJ
cana-6155	207	2	journal	journal	PROPN
cana-6155	207	3	of	of	ADP
cana-6155	207	4	theoretical	theoretical	ADJ
cana-6155	207	5	physics	physics	NOUN
cana-6155	207	6	.	.	PUNCT
cana-6155	208	1	2011	2011	NUM
cana-6155	208	2	mar;50:871	mar;50:871	PROPN
cana-6155	208	3	-	-	SYM
cana-6155	208	4	81	81	NUM
cana-6155	208	5	.	.	PUNCT
cana-6155	209	1	https://doi.org/10.1007/s10773-010-0628-3	https://doi.org/10.1007/s10773-010-0628-3	NUM
cana-6155	209	2	10	10	NUM
cana-6155	209	3	.	.	PUNCT
cana-6155	210	1	yadav	yadav	PROPN
cana-6155	210	2	ak	ak	PROPN
cana-6155	210	3	,	,	PUNCT
cana-6155	210	4	yadav	yadav	PROPN
cana-6155	210	5	l.	l.	PROPN
cana-6155	210	6	bianchi	bianchi	PROPN
cana-6155	210	7	type	type	PROPN
cana-6155	210	8	iii	iii	NUM
cana-6155	210	9	anisotropic	anisotropic	NOUN
cana-6155	210	10	dark	dark	ADJ
cana-6155	210	11	energy	energy	NOUN
cana-6155	210	12	models	model	NOUN
cana-6155	210	13	with	with	ADP
cana-6155	210	14	constant	constant	ADJ
cana-6155	210	15	deceleration	deceleration	NOUN
cana-6155	210	16	parameter	parameter	NOUN
cana-6155	210	17	.	.	PUNCT
cana-6155	211	1	international	international	ADJ
cana-6155	211	2	journal	journal	PROPN
cana-6155	211	3	of	of	ADP
cana-6155	211	4	theoretical	theoretical	ADJ
cana-6155	211	5	physics	physics	NOUN
cana-6155	211	6	.	.	PUNCT
cana-6155	212	1	2011	2011	NUM
cana-6155	212	2	jan;50:218	jan;50:218	X
cana-6155	212	3	-	-	X
cana-6155	212	4	27	27	NUM
cana-6155	212	5	.	.	PUNCT
cana-6155	213	1	https://doi.org/10.1007/s10773-010-0510-3	https://doi.org/10.1007/s10773-010-0510-3	NUM
cana-6155	213	2	11	11	NUM
cana-6155	213	3	.	.	PUNCT
cana-6155	214	1	kumar	kumar	PROPN
cana-6155	214	2	s	s	PROPN
cana-6155	214	3	,	,	PUNCT
cana-6155	214	4	akarsu	akarsu	PROPN
cana-6155	214	5	ö.	ö.	PROPN
cana-6155	214	6	bianchi	bianchi	PROPN
cana-6155	214	7	type	type	PROPN
cana-6155	214	8	-	-	PUNCT
cana-6155	214	9	ii	ii	NOUN
cana-6155	214	10	models	model	NOUN
cana-6155	214	11	in	in	ADP
cana-6155	214	12	the	the	DET
cana-6155	214	13	presence	presence	NOUN
cana-6155	214	14	of	of	ADP
cana-6155	214	15	perfect	perfect	ADJ
cana-6155	214	16	fluid	fluid	ADJ
cana-6155	214	17	and	and	CCONJ
cana-6155	214	18	anisotropic	anisotropic	NOUN
cana-6155	214	19	dark	dark	ADJ
cana-6155	214	20	energy	energy	NOUN
cana-6155	214	21	.	.	PUNCT
cana-6155	215	1	the	the	DET
cana-6155	215	2	european	european	PROPN
cana-6155	215	3	physical	physical	PROPN
cana-6155	215	4	journal	journal	PROPN
cana-6155	215	5	plus	plus	CCONJ
cana-6155	215	6	.	.	PUNCT
cana-6155	215	7	2012	2012	NUM
cana-6155	215	8	jun;127:1	jun;127:1	NOUN
cana-6155	215	9	-	-	SYM
cana-6155	215	10	3	3	NUM
cana-6155	215	11	.	.	PUNCT
cana-6155	215	12	https://doi.org/10.1140/epjp/i2012-12064-4	https://doi.org/10.1140/epjp/i2012-12064-4	PROPN
cana-6155	215	13	12	12	NUM
cana-6155	215	14	.	.	PUNCT
cana-6155	216	1	amendola	amendola	PROPN
cana-6155	216	2	l.	l.	PROPN
cana-6155	216	3	coupled	couple	VERB
cana-6155	216	4	quintessence	quintessence	NOUN
cana-6155	216	5	.	.	PUNCT
cana-6155	217	1	physical	physical	PROPN
cana-6155	217	2	review	review	PROPN
cana-6155	217	3	d.	d.	PROPN
cana-6155	217	4	2000	2000	NUM
cana-6155	217	5	jul	jul	PROPN
cana-6155	217	6	24;62(4):043511	24;62(4):043511	NUM
cana-6155	217	7	.	.	PUNCT
cana-6155	217	8	https://doi.org/10.1103/physrevd.62.043511	https://doi.org/10.1103/physrevd.62.043511	PROPN
cana-6155	218	1	13	13	NUM
cana-6155	218	2	.	.	PUNCT
cana-6155	219	1	szydłowski	szydłowski	PROPN
cana-6155	219	2	m	m	PROPN
cana-6155	219	3	,	,	PUNCT
cana-6155	219	4	kurek	kurek	PROPN
cana-6155	219	5	a	a	PRON
cana-6155	219	6	,	,	PUNCT
cana-6155	219	7	krawiec	krawiec	ADJ
cana-6155	219	8	a.	a.	NOUN
cana-6155	219	9	top	top	NOUN
cana-6155	219	10	ten	ten	NUM
cana-6155	219	11	accelerating	accelerate	VERB
cana-6155	219	12	cosmological	cosmological	ADJ
cana-6155	219	13	models	model	NOUN
cana-6155	219	14	.	.	PUNCT
cana-6155	220	1	physics	physics	NOUN
cana-6155	220	2	letters	letters	PROPN
cana-6155	220	3	b.	b.	PROPN
cana-6155	220	4	2006	2006	NUM
cana-6155	220	5	nov	nov	NOUN
cana-6155	220	6	9;642(3):171	9;642(3):171	NUM
cana-6155	220	7	-	-	SYM
cana-6155	220	8	8	8	NUM
cana-6155	220	9	.	.	PUNCT
cana-6155	221	1	https://doi.org/10.1016/j.physletb.2006.09.052	https://doi.org/10.1016/j.physletb.2006.09.052	PROPN
cana-6155	221	2	14	14	NUM
cana-6155	221	3	.	.	PUNCT
cana-6155	222	1	setare	setare	PROPN
cana-6155	222	2	mr	mr	PROPN
cana-6155	222	3	.	.	PROPN
cana-6155	222	4	interacting	interact	VERB
cana-6155	222	5	holographic	holographic	ADJ
cana-6155	222	6	dark	dark	ADJ
cana-6155	222	7	energy	energy	NOUN
cana-6155	222	8	model	model	NOUN
cana-6155	222	9	and	and	CCONJ
cana-6155	222	10	generalized	generalized	ADJ
cana-6155	222	11	second	second	ADJ
cana-6155	222	12	law	law	NOUN
cana-6155	222	13	of	of	ADP
cana-6155	222	14	thermodynamicsin	thermodynamicsin	NOUN
cana-6155	222	15	a	a	DET
cana-6155	222	16	non	non	ADJ
cana-6155	222	17	-	-	ADJ
cana-6155	222	18	flat	flat	ADJ
cana-6155	222	19	universe	universe	NOUN
cana-6155	222	20	.	.	PUNCT
cana-6155	223	1	journal	journal	NOUN
cana-6155	223	2	of	of	ADP
cana-6155	223	3	cosmology	cosmology	PROPN
cana-6155	223	4	and	and	CCONJ
cana-6155	223	5	astroparticle	astroparticle	PROPN
cana-6155	223	6	physics	physics	PROPN
cana-6155	223	7	.	.	PUNCT
cana-6155	224	1	2007	2007	NUM
cana-6155	224	2	jan	jan	NOUN
cana-6155	224	3	24;2007(01):023	24;2007(01):023	NUM
cana-6155	224	4	.	.	PUNCT
cana-6155	225	1	10.1088/14757516/2007/01/023	10.1088/14757516/2007/01/023	NUM
cana-6155	225	2	15	15	NUM
cana-6155	225	3	.	.	PUNCT
cana-6155	226	1	pradhan	pradhan	PROPN
cana-6155	226	2	a	a	PROPN
cana-6155	226	3	,	,	PUNCT
cana-6155	226	4	amirhashchi	amirhashchi	PROPN
cana-6155	226	5	h	h	PROPN
cana-6155	226	6	,	,	PUNCT
cana-6155	226	7	saha	saha	PROPN
cana-6155	226	8	b.	b.	PROPN
cana-6155	227	1	an	an	DET
cana-6155	227	2	interacting	interacting	ADJ
cana-6155	227	3	and	and	CCONJ
cana-6155	227	4	non	non	ADJ
cana-6155	227	5	-	-	ADJ
cana-6155	227	6	interacting	interact	VERB
cana-6155	227	7	two	two	NUM
cana-6155	227	8	-	-	PUNCT
cana-6155	227	9	fluid	fluid	NOUN
cana-6155	227	10	scenario	scenario	NOUN
cana-6155	227	11	for	for	ADP
cana-6155	227	12	dark	dark	ADJ
cana-6155	227	13	energy	energy	NOUN
cana-6155	227	14	in	in	ADP
cana-6155	227	15	frw	frw	PROPN
cana-6155	227	16	universe	universe	NOUN
cana-6155	227	17	with	with	ADP
cana-6155	227	18	constant	constant	ADJ
cana-6155	227	19	deceleration	deceleration	NOUN
cana-6155	227	20	parameter	parameter	NOUN
cana-6155	227	21	.	.	PUNCT
cana-6155	228	1	astrophysics	astrophysic	NOUN
cana-6155	228	2	and	and	CCONJ
cana-6155	228	3	space	space	NOUN
cana-6155	228	4	science	science	NOUN
cana-6155	228	5	.	.	PUNCT
cana-6155	229	1	2011	2011	NUM
cana-6155	229	2	may;333:343	may;333:343	PROPN
cana-6155	229	3	-	-	PUNCT
cana-6155	229	4	50	50	NUM
cana-6155	229	5	.	.	PUNCT
cana-6155	230	1	https://doi.org/10.1007/s10509-011-0626-9	https://doi.org/10.1007/s10509-011-0626-9	NUM
cana-6155	230	2	16	16	NUM
cana-6155	230	3	.	.	PUNCT
cana-6155	231	1	amirhashchi	amirhashchi	PROPN
cana-6155	231	2	h	h	PROPN
cana-6155	231	3	,	,	PUNCT
cana-6155	231	4	pradhan	pradhan	PROPN
cana-6155	231	5	a	a	PROPN
cana-6155	231	6	,	,	PUNCT
cana-6155	231	7	saha	saha	PROPN
cana-6155	231	8	b.	b.	PROPN
cana-6155	232	1	an	an	DET
cana-6155	232	2	interacting	interact	VERB
cana-6155	232	3	two	two	NUM
cana-6155	232	4	-	-	PUNCT
cana-6155	232	5	fluid	fluid	NOUN
cana-6155	232	6	scenario	scenario	NOUN
cana-6155	232	7	for	for	ADP
cana-6155	232	8	dark	dark	ADJ
cana-6155	232	9	energy	energy	NOUN
cana-6155	232	10	in	in	ADP
cana-6155	232	11	an	an	DET
cana-6155	232	12	frw	frw	NOUN
cana-6155	232	13	universe	universe	NOUN
cana-6155	232	14	.	.	PUNCT
cana-6155	233	1	chinese	chinese	ADJ
cana-6155	233	2	physics	physics	NOUN
cana-6155	233	3	letters	letter	NOUN
cana-6155	233	4	,	,	PUNCT
cana-6155	233	5	28(3	28(3	NUM
cana-6155	233	6	)	)	PUNCT
cana-6155	233	7	,	,	PUNCT
cana-6155	233	8	039801	039801	NUM
cana-6155	233	9	(	(	PUNCT
cana-6155	233	10	2011	2011	NUM
cana-6155	233	11	)	)	PUNCT
cana-6155	233	12	.	.	PUNCT
cana-6155	234	1	https://doi.org/10.1088/0256-307x/28/3/039801	https://doi.org/10.1088/0256-307x/28/3/039801	NOUN
cana-6155	234	2	17	17	NUM
cana-6155	234	3	.	.	PUNCT
cana-6155	235	1	amirhashchi	amirhashchi	PROPN
cana-6155	235	2	h	h	PROPN
cana-6155	235	3	,	,	PUNCT
cana-6155	235	4	pradhan	pradhan	PROPN
cana-6155	235	5	a	a	PRON
cana-6155	235	6	,	,	PUNCT
cana-6155	235	7	zainuddin	zainuddin	VERB
cana-6155	235	8	h.	h.	PROPN
cana-6155	235	9	an	an	DET
cana-6155	235	10	interacting	interacting	ADJ
cana-6155	235	11	and	and	CCONJ
cana-6155	235	12	non	non	ADJ
cana-6155	235	13	-	-	ADJ
cana-6155	235	14	interacting	interact	VERB
cana-6155	235	15	two	two	NUM
cana-6155	235	16	-	-	PUNCT
cana-6155	235	17	fluid	fluid	NOUN
cana-6155	235	18	dark	dark	ADJ
cana-6155	235	19	energy	energy	NOUN
cana-6155	235	20	models	model	NOUN
cana-6155	235	21	in	in	ADP
cana-6155	235	22	frw	frw	PROPN
cana-6155	235	23	universe	universe	NOUN
cana-6155	235	24	with	with	ADP
cana-6155	235	25	time	time	NOUN
cana-6155	235	26	dependent	dependent	ADJ
cana-6155	235	27	deceleration	deceleration	NOUN
cana-6155	235	28	parameter	parameter	NOUN
cana-6155	235	29	.	.	PUNCT
cana-6155	236	1	international	international	ADJ
cana-6155	236	2	journal	journal	PROPN
cana-6155	236	3	of	of	ADP
cana-6155	236	4	theoretical	theoretical	ADJ
cana-6155	236	5	physics	physics	NOUN
cana-6155	236	6	.	.	PUNCT
cana-6155	237	1	2011	2011	NUM
cana-6155	237	2	nov;50:3529	nov;50:3529	ADV
cana-6155	237	3	-	-	SYM
cana-6155	237	4	43	43	NUM
cana-6155	237	5	.	.	PUNCT
cana-6155	238	1	https://doi.org/10.1007/s10773-011-0861-4	https://doi.org/10.1007/s10773-011-0861-4	NUM
cana-6155	238	2	18	18	NUM
cana-6155	238	3	.	.	PUNCT
cana-6155	238	4	saha	saha	PROPN
cana-6155	238	5	b	b	PROPN
cana-6155	238	6	,	,	PUNCT
cana-6155	238	7	amirhashchi	amirhashchi	PROPN
cana-6155	238	8	h	h	PROPN
cana-6155	238	9	,	,	PUNCT
cana-6155	238	10	pradhan	pradhan	PROPN
cana-6155	238	11	a.	a.	PROPN
cana-6155	238	12	two	two	NUM
cana-6155	238	13	-	-	PUNCT
cana-6155	238	14	fluid	fluid	NOUN
cana-6155	238	15	scenario	scenario	NOUN
cana-6155	238	16	for	for	ADP
cana-6155	238	17	dark	dark	ADJ
cana-6155	238	18	energy	energy	NOUN
cana-6155	238	19	models	model	NOUN
cana-6155	238	20	in	in	ADP
cana-6155	238	21	an	an	DET
cana-6155	238	22	frw	frw	NOUN
cana-6155	238	23	universe	universe	NOUN
cana-6155	238	24	-	-	PUNCT
cana-6155	238	25	revisited	revisit	VERB
cana-6155	238	26	.	.	PUNCT
cana-6155	239	1	astrophysics	astrophysic	NOUN
cana-6155	239	2	and	and	CCONJ
cana-6155	239	3	space	space	NOUN
cana-6155	239	4	science	science	NOUN
cana-6155	239	5	.	.	PUNCT
cana-6155	240	1	2012	2012	NUM
cana-6155	240	2	nov;342(1):257	nov;342(1):257	NOUN
cana-6155	240	3	-	-	PUNCT
cana-6155	240	4	67	67	NUM
cana-6155	240	5	.	.	PUNCT
cana-6155	241	1	https://doi.org/10.1007/s10509-012-1155-x	https://doi.org/10.1007/s10509-012-1155-x	PROPN
cana-6155	241	2	19	19	NUM
cana-6155	241	3	.	.	PUNCT
cana-6155	242	1	weyl	weyl	PROPN
cana-6155	242	2	h.	h.	PROPN
cana-6155	242	3	gravitation	gravitation	PROPN
cana-6155	242	4	and	and	CCONJ
cana-6155	242	5	electricity	electricity	NOUN
cana-6155	242	6	.	.	PUNCT
cana-6155	243	1	sitzungsber.preuss.akad.wiss.berlin	sitzungsber.preuss.akad.wiss.berlin	NOUN
cana-6155	243	2	(	(	PUNCT
cana-6155	243	3	math.phys	math.phy	NOUN
cana-6155	243	4	.	.	PUNCT
cana-6155	243	5	)	)	PUNCT
cana-6155	243	6	1918	1918	NUM
cana-6155	243	7	(	(	PUNCT
cana-6155	243	8	1918	1918	NUM
cana-6155	243	9	)	)	PUNCT
cana-6155	243	10	465	465	NUM
cana-6155	243	11	20	20	NUM
cana-6155	243	12	.	.	PUNCT
cana-6155	244	1	sen	sen	PROPN
cana-6155	244	2	dk	dk	PROPN
cana-6155	244	3	.	.	PUNCT
cana-6155	245	1	a	a	DET
cana-6155	245	2	static	static	ADJ
cana-6155	245	3	cosmological	cosmological	ADJ
cana-6155	245	4	model	model	NOUN
cana-6155	245	5	.	.	PUNCT
cana-6155	246	1	zeitschrift	zeitschrift	PROPN
cana-6155	246	2	für	für	PROPN
cana-6155	246	3	physik	physik	VERB
cana-6155	246	4	a	a	DET
cana-6155	246	5	hadrons	hadron	NOUN
cana-6155	246	6	and	and	CCONJ
cana-6155	246	7	nuclei	nucleus	NOUN
cana-6155	246	8	,	,	PUNCT
cana-6155	246	9	vol	vol	NOUN
cana-6155	246	10	.	.	PROPN
cana-6155	246	11	149	149	NUM
cana-6155	246	12	,	,	PUNCT
cana-6155	246	13	no	no	INTJ
cana-6155	246	14	.	.	NOUN
cana-6155	246	15	3	3	NUM
cana-6155	246	16	,	,	PUNCT
cana-6155	246	17	1957	1957	NUM
cana-6155	246	18	,	,	PUNCT
cana-6155	246	19	pp	pp	ADJ
cana-6155	246	20	.	.	PUNCT
cana-6155	247	1	311	311	NUM
cana-6155	247	2	-	-	SYM
cana-6155	247	3	323	323	NUM
cana-6155	247	4	.	.	PUNCT
cana-6155	248	1	https://doi.org/10.1007/bf01333146	https://doi.org/10.1007/bf01333146	X
cana-6155	248	2	21	21	NUM
cana-6155	248	3	.	.	PUNCT
cana-6155	249	1	sen	sen	PROPN
cana-6155	249	2	dk	dk	PROPN
cana-6155	249	3	and	and	CCONJ
cana-6155	249	4	dunn	dunn	PROPN
cana-6155	249	5	ka	ka	PROPN
cana-6155	249	6	.	.	PUNCT
cana-6155	250	1	a	a	DET
cana-6155	250	2	scalar	scalar	ADJ
cana-6155	250	3	-	-	PUNCT
cana-6155	250	4	tensor	tensor	NOUN
cana-6155	250	5	theory	theory	NOUN
cana-6155	250	6	of	of	ADP
cana-6155	250	7	gravitation	gravitation	NOUN
cana-6155	250	8	in	in	ADP
cana-6155	250	9	a	a	DET
cana-6155	250	10	modified	modify	VERB
cana-6155	250	11	riemannian	riemannian	ADJ
cana-6155	250	12	manifold	manifold	NOUN
cana-6155	250	13	.	.	PUNCT
cana-6155	251	1	journal	journal	PROPN
cana-6155	251	2	of	of	ADP
cana-6155	251	3	mathematical	mathematical	ADJ
cana-6155	251	4	physics	physics	NOUN
cana-6155	251	5	,	,	PUNCT
cana-6155	251	6	vol	vol	NOUN
cana-6155	251	7	.	.	PROPN
cana-6155	251	8	12	12	NUM
cana-6155	251	9	,	,	PUNCT
cana-6155	251	10	no	no	INTJ
cana-6155	251	11	.	.	NOUN
cana-6155	251	12	4	4	NUM
cana-6155	251	13	,	,	PUNCT
cana-6155	251	14	1971	1971	NUM
cana-6155	251	15	,	,	PUNCT
cana-6155	251	16	pp	pp	ADV
cana-6155	251	17	.	.	PUNCT
cana-6155	252	1	578	578	NUM
cana-6155	252	2	-	-	SYM
cana-6155	252	3	586	586	NUM
cana-6155	252	4	.	.	PUNCT
cana-6155	252	5	doi:10.1063/1.1665623	doi:10.1063/1.1665623	NOUN
cana-6155	252	6	22	22	NUM
cana-6155	252	7	.	.	PUNCT
cana-6155	253	1	halford	halford	PROPN
cana-6155	253	2	wd	wd	PROPN
cana-6155	253	3	.	.	PUNCT
cana-6155	254	1	scalar	scalar	ADJ
cana-6155	254	2	--	--	PUNCT
cana-6155	254	3	tensor	tensor	NOUN
cana-6155	254	4	theory	theory	NOUN
cana-6155	254	5	of	of	ADP
cana-6155	254	6	gravitation	gravitation	NOUN
cana-6155	254	7	in	in	ADP
cana-6155	254	8	a	a	DET
cana-6155	254	9	lyra	lyra	PROPN
cana-6155	254	10	manifold	manifold	NOUN
cana-6155	254	11	.	.	PUNCT
cana-6155	255	1	massey	massey	PROPN
cana-6155	255	2	univ	univ	PROPN
cana-6155	255	3	.	.	PROPN
cana-6155	255	4	,	,	PUNCT
cana-6155	255	5	palmerston	palmerston	PROPN
cana-6155	255	6	north	north	PROPN
cana-6155	255	7	,	,	PUNCT
cana-6155	255	8	new	new	PROPN
cana-6155	255	9	zealand	zealand	PROPN
cana-6155	255	10	;	;	PUNCT
cana-6155	255	11	1972	1972	NUM
cana-6155	255	12	jan	jan	PROPN
cana-6155	255	13	1	1	NUM
cana-6155	255	14	.	.	PUNCT
cana-6155	255	15	https://doi.org/10.1063/1.1665894	https://doi.org/10.1063/1.1665894	PROPN
cana-6155	255	16	23	23	NUM
cana-6155	255	17	.	.	PUNCT
cana-6155	256	1	mete	mete	ADJ
cana-6155	256	2	vg	vg	PROPN
cana-6155	256	3	,	,	PUNCT
cana-6155	256	4	deshmukh	deshmukh	PROPN
cana-6155	256	5	v.	v.	ADP
cana-6155	256	6	five	five	NUM
cana-6155	256	7	-	-	PUNCT
cana-6155	256	8	dimensional	dimensional	ADJ
cana-6155	256	9	cosmological	cosmological	ADJ
cana-6155	256	10	model	model	NOUN
cana-6155	256	11	with	with	ADP
cana-6155	256	12	one	one	NUM
cana-6155	256	13	dimensional	dimensional	ADJ
cana-6155	256	14	cosmic	cosmic	ADJ
cana-6155	256	15	string	string	NOUN
cana-6155	256	16	coupled	couple	VERB
cana-6155	256	17	with	with	ADP
cana-6155	256	18	zero	zero	NUM
cana-6155	256	19	mass	mass	ADJ
cana-6155	256	20	scalar	scalar	ADJ
cana-6155	256	21	field	field	NOUN
cana-6155	256	22	in	in	ADP
cana-6155	256	23	lyra	lyra	PROPN
cana-6155	256	24	manifold	manifold	PROPN
cana-6155	256	25	.	.	PUNCT
cana-6155	257	1	journal	journal	NOUN
cana-6155	257	2	of	of	ADP
cana-6155	257	3	scientific	scientific	ADJ
cana-6155	257	4	research	research	NOUN
cana-6155	257	5	.	.	PUNCT
cana-6155	258	1	2023	2023	NUM
cana-6155	258	2	may	may	AUX
cana-6155	258	3	1;15(2):351	1;15(2):351	NOUN
cana-6155	258	4	-	-	SYM
cana-6155	258	5	9	9	NUM
cana-6155	258	6	.	.	PUNCT
cana-6155	259	1	https://doi.org/10.3329/jsr.v15i2.61442	https://doi.org/10.3329/jsr.v15i2.61442	PROPN
cana-6155	259	2	24	24	NUM
cana-6155	259	3	.	.	PUNCT
cana-6155	260	1	lambat	lambat	PROPN
cana-6155	260	2	pm	pm	PROPN
cana-6155	260	3	,	,	PUNCT
cana-6155	260	4	pund	pund	PROPN
cana-6155	260	5	am	be	AUX
cana-6155	260	6	.	.	PUNCT
cana-6155	261	1	bianchi	bianchi	NOUN
cana-6155	261	2	type	type	NOUN
cana-6155	261	3	-	-	PUNCT
cana-6155	261	4	vi0	vi0	NOUN
cana-6155	261	5	inflationary	inflationary	ADJ
cana-6155	261	6	model	model	NOUN
cana-6155	261	7	in	in	ADP
cana-6155	261	8	lyra	lyra	PROPN
cana-6155	261	9	geometry	geometry	PROPN
cana-6155	261	10	.	.	PUNCT
cana-6155	262	1	journal	journal	PROPN
cana-6155	262	2	of	of	ADP
cana-6155	262	3	scientific	scientific	ADJ
cana-6155	262	4	research	research	NOUN
cana-6155	262	5	.	.	PUNCT
cana-6155	263	1	2022	2022	NUM
cana-6155	263	2	may	may	AUX
cana-6155	263	3	6;14(2):435	6;14(2):435	NUM
cana-6155	263	4	-	-	SYM
cana-6155	263	5	42	42	NUM
cana-6155	263	6	.	.	PUNCT
cana-6155	264	1	https://doi.org/10.3329/jsr.v14i2.55557	https://doi.org/10.3329/jsr.v14i2.55557	PROPN
cana-6155	264	2	25	25	NUM
cana-6155	264	3	.	.	PUNCT
cana-6155	265	1	aditya	aditya	PROPN
cana-6155	265	2	y	y	PROPN
cana-6155	265	3	,	,	PUNCT
cana-6155	265	4	divya	divya	PROPN
cana-6155	265	5	prasanthi	prasanthi	PROPN
cana-6155	265	6	uy	uy	PROPN
cana-6155	265	7	,	,	PUNCT
cana-6155	265	8	reddy	reddy	PROPN
cana-6155	265	9	dr	dr	PROPN
cana-6155	265	10	.	.	PROPN
cana-6155	265	11	bianchi	bianchi	PROPN
cana-6155	265	12	type	type	PROPN
cana-6155	265	13	-	-	PUNCT
cana-6155	265	14	ix	ix	ADP
cana-6155	265	15	model	model	NOUN
cana-6155	265	16	in	in	ADP
cana-6155	265	17	the	the	DET
cana-6155	265	18	presence	presence	NOUN
cana-6155	265	19	of	of	ADP
cana-6155	265	20	anisotropic	anisotropic	NOUN
cana-6155	265	21	dark	dark	ADJ
cana-6155	265	22	energy	energy	NOUN
cana-6155	265	23	and	and	CCONJ
cana-6155	265	24	massive	massive	ADJ
cana-6155	265	25	scalar	scalar	ADJ
cana-6155	265	26	meson	meson	NOUN
cana-6155	265	27	field	field	NOUN
cana-6155	265	28	in	in	ADP
cana-6155	265	29	lyra	lyra	PROPN
cana-6155	265	30	geometry	geometry	PROPN
cana-6155	265	31	.	.	PUNCT
cana-6155	266	1	international	international	ADJ
cana-6155	266	2	journal	journal	PROPN
cana-6155	266	3	of	of	ADP
cana-6155	266	4	modern	modern	ADJ
cana-6155	266	5	physics	physics	PROPN
cana-6155	266	6	a.	a.	NOUN
cana-6155	266	7	2022	2022	NUM
cana-6155	266	8	jun	jun	PROPN
cana-6155	266	9	10;37(16):2250107	10;37(16):2250107	NUM
cana-6155	266	10	.	.	PUNCT
cana-6155	267	1	https://doi.org/10.1142/s0217751x2250107x	https://doi.org/10.1142/s0217751x2250107x	PROPN
cana-6155	267	2	26	26	NUM
cana-6155	267	3	.	.	PUNCT
cana-6155	268	1	singh	singh	PROPN
cana-6155	268	2	jk	jk	PROPN
cana-6155	268	3	,	,	PUNCT
cana-6155	268	4	singh	singh	PROPN
cana-6155	268	5	p	p	NOUN
cana-6155	268	6	,	,	PUNCT
cana-6155	268	7	saridakis	saridakis	PROPN
cana-6155	268	8	en	en	X
cana-6155	268	9	,	,	PUNCT
cana-6155	268	10	myrzakul	myrzakul	PROPN
cana-6155	268	11	s	s	PART
cana-6155	268	12	,	,	PUNCT
cana-6155	268	13	balhara	balhara	PROPN
cana-6155	268	14	h.	h.	NOUN
cana-6155	268	15	new	new	ADJ
cana-6155	268	16	parametrization	parametrization	NOUN
cana-6155	268	17	of	of	ADP
cana-6155	268	18	the	the	DET
cana-6155	268	19	dark	dark	ADJ
cana-6155	268	20	-	-	PUNCT
cana-6155	268	21	energy	energy	NOUN
cana-6155	268	22	equation	equation	NOUN
cana-6155	268	23	of	of	ADP
cana-6155	268	24	state	state	NOUN
cana-6155	268	25	with	with	ADP
cana-6155	268	26	a	a	DET
cana-6155	268	27	single	single	ADJ
cana-6155	268	28	parameter	parameter	NOUN
cana-6155	268	29	.	.	PUNCT
cana-6155	269	1	universe	universe	NOUN
cana-6155	269	2	.	.	PUNCT
cana-6155	270	1	2024	2024	NUM
cana-6155	270	2	jun	jun	PROPN
cana-6155	270	3	1;10(6):246	1;10(6):246	NUM
cana-6155	270	4	.	.	PUNCT
cana-6155	271	1	https://doi.org/10.1142/s0218271823500402	https://doi.org/10.1142/s0218271823500402	NUM
cana-6155	271	2	27	27	NUM
cana-6155	271	3	.	.	PUNCT
cana-6155	272	1	bishi	bishi	PROPN
cana-6155	272	2	bk	bk	PROPN
cana-6155	272	3	,	,	PUNCT
cana-6155	272	4	lepse	lepse	NOUN
cana-6155	272	5	pv	pv	PROPN
cana-6155	272	6	.	.	PUNCT
cana-6155	272	7	particle	particle	NOUN
cana-6155	272	8	creation	creation	NOUN
cana-6155	272	9	and	and	CCONJ
cana-6155	272	10	quadratic	quadratic	ADJ
cana-6155	272	11	deceleration	deceleration	NOUN
cana-6155	272	12	parameter	parameter	NOUN
cana-6155	272	13	in	in	ADP
cana-6155	272	14	lyra	lyra	PROPN
cana-6155	272	15	geometry	geometry	PROPN
cana-6155	272	16	.	.	PUNCT
cana-6155	273	1	new	new	ADJ
cana-6155	273	2	astronomy	astronomy	NOUN
cana-6155	273	3	.	.	PUNCT
cana-6155	274	1	2021	2021	NUM
cana-6155	274	2	may	may	PROPN
cana-6155	274	3	1;85:101563	1;85:101563	NUM
cana-6155	274	4	.	.	PUNCT
cana-6155	275	1	https://doi.org/10.1016/j.newast.2020.101563	https://doi.org/10.1016/j.newast.2020.101563	PROPN
cana-6155	275	2	28	28	NUM
cana-6155	275	3	.	.	PUNCT
cana-6155	276	1	witten	witten	PROPN
cana-6155	276	2	e.	e.	PROPN
cana-6155	277	1	some	some	DET
cana-6155	277	2	properties	property	NOUN
cana-6155	277	3	of	of	ADP
cana-6155	277	4	o	o	PROPN
cana-6155	277	5	(	(	PUNCT
cana-6155	277	6	32	32	NUM
cana-6155	277	7	)	)	PUNCT
cana-6155	277	8	superstrings	superstrings	PROPN
cana-6155	277	9	.	.	PUNCT
cana-6155	277	10	physics	physics	PROPN
cana-6155	277	11	letters	letters	PROPN
cana-6155	277	12	b.	b.	PROPN
cana-6155	277	13	1984	1984	NUM
cana-6155	277	14	dec	dec	PROPN
cana-6155	277	15	20;149(4	20;149(4	PROPN
cana-6155	277	16	-	-	PUNCT
cana-6155	277	17	5):351	5):351	NUM
cana-6155	277	18	-	-	PUNCT
cana-6155	277	19	6	6	NUM
cana-6155	277	20	.	.	PUNCT
cana-6155	277	21	https://doi.org/10.1016/0370-2693(84)90422-2	https://doi.org/10.1016/0370-2693(84)90422-2	NOUN
cana-6155	277	22	29	29	NUM
cana-6155	277	23	.	.	PUNCT
cana-6155	278	1	appelquist	appelquist	PROPN
cana-6155	278	2	t	t	PROPN
cana-6155	278	3	,	,	PUNCT
cana-6155	278	4	chodos	chodo	NOUN
cana-6155	278	5	a	a	PRON
cana-6155	278	6	,	,	PUNCT
cana-6155	278	7	freund	freund	PROPN
cana-6155	278	8	pg	pg	PROPN
cana-6155	278	9	.	.	PUNCT
cana-6155	279	1	modern	modern	ADJ
cana-6155	279	2	kaluza	kaluza	PROPN
cana-6155	279	3	-	-	PUNCT
cana-6155	279	4	klein	klein	PROPN
cana-6155	279	5	theories	theory	NOUN
cana-6155	279	6	.	.	PUNCT
cana-6155	280	1	(	(	PUNCT
cana-6155	280	2	no	no	DET
cana-6155	280	3	title	title	NOUN
cana-6155	280	4	)	)	PUNCT
cana-6155	280	5	.	.	PUNCT
cana-6155	281	1	1987	1987	NUM
cana-6155	281	2	.	.	PUNCT
cana-6155	282	1	30	30	NUM
cana-6155	282	2	.	.	PUNCT
cana-6155	283	1	kaluza	kaluza	PROPN
cana-6155	283	2	t.	t.	PROPN
cana-6155	283	3	sitzungsber	sitzungsber	PROPN
cana-6155	283	4	.	.	PUNCT
cana-6155	284	1	preuss	preuss	ADJ
cana-6155	284	2	.	.	PUNCT
cana-6155	284	3	akad	akad	PROPN
cana-6155	284	4	.	.	PUNCT
cana-6155	285	1	wiss	wiss	PROPN
cana-6155	285	2	.	.	PUNCT
cana-6155	286	1	phys	phy	NOUN
cana-6155	286	2	.	.	PUNCT
cana-6155	287	1	math	math	NOUN
cana-6155	287	2	.	.	PUNCT
cana-6155	288	1	klasse	klasse	PROPN
cana-6155	288	2	.	.	PROPN
cana-6155	288	3	1921	1921	NUM
cana-6155	288	4	.	.	PUNCT
cana-6155	289	1	31	31	NUM
cana-6155	289	2	.	.	PUNCT
cana-6155	290	1	klein	klein	PROPN
cana-6155	290	2	o.	o.	PROPN
cana-6155	290	3	quantentheorie	quantentheorie	PROPN
cana-6155	290	4	und	und	VERB
cana-6155	290	5	fünfdimensionale	fünfdimensionale	NOUN
cana-6155	290	6	relativitätstheorie	relativitätstheorie	NOUN
cana-6155	290	7	.	.	PUNCT
cana-6155	291	1	zeitschrift	zeitschrift	PROPN
cana-6155	291	2	für	für	PROPN
cana-6155	291	3	physik	physik	PROPN
cana-6155	291	4	.	.	PROPN
cana-6155	291	5	1926	1926	NUM
cana-6155	291	6	dec;37(12):895	dec;37(12):895	NOUN
cana-6155	291	7	-	-	SYM
cana-6155	291	8	906	906	NUM
cana-6155	291	9	.	.	PUNCT
cana-6155	292	1	https://doi.org/10.1007/bf01397481	https://doi.org/10.1007/bf01397481	PROPN
cana-6155	292	2	https://doi.org/10.1007/s10773-010-0510-3	https://doi.org/10.1007/s10773-010-0510-3	NUM
cana-6155	292	3	https://doi.org/10.1103/physrevd.62.043511	https://doi.org/10.1103/physrevd.62.043511	PROPN
cana-6155	292	4	https://doi.org/10.1016/j.physletb.2006.09.052	https://doi.org/10.1016/j.physletb.2006.09.052	PROPN
cana-6155	292	5	communications	communication	NOUN
cana-6155	292	6	on	on	ADP
cana-6155	292	7	applied	apply	VERB
cana-6155	292	8	nonlinear	nonlinear	ADJ
cana-6155	292	9	analysis	analysis	NOUN
cana-6155	292	10	issn	issn	NOUN
cana-6155	292	11	:	:	PUNCT
cana-6155	292	12	1074	1074	NUM
cana-6155	292	13	-	-	PUNCT
cana-6155	292	14	133x	133x	NUM
cana-6155	292	15	vol	vol	NOUN
cana-6155	292	16	31	31	NUM
cana-6155	292	17	no	no	NOUN
cana-6155	292	18	.	.	PUNCT
cana-6155	293	1	8s	8s	PROPN
cana-6155	293	2	(	(	PUNCT
cana-6155	293	3	2024	2024	NUM
cana-6155	293	4	)	)	PUNCT
cana-6155	293	5	1226	1226	NUM
cana-6155	293	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6155	293	7	32	32	NUM
cana-6155	293	8	.	.	PUNCT
cana-6155	294	1	chodos	chodo	NOUN
cana-6155	294	2	a	a	PRON
cana-6155	294	3	,	,	PUNCT
cana-6155	294	4	detweiler	detweiler	NOUN
cana-6155	294	5	s.	s.	PROPN
cana-6155	294	6	where	where	SCONJ
cana-6155	294	7	has	have	AUX
cana-6155	294	8	the	the	DET
cana-6155	294	9	fifth	fifth	ADJ
cana-6155	294	10	dimension	dimension	NOUN
cana-6155	294	11	gone	go	VERB
cana-6155	294	12	?	?	PUNCT
cana-6155	294	13	.	.	PUNCT
cana-6155	295	1	physical	physical	PROPN
cana-6155	295	2	review	review	PROPN
cana-6155	295	3	d.	d.	PROPN
cana-6155	295	4	1980	1980	NUM
cana-6155	295	5	apr	apr	PROPN
cana-6155	295	6	15;21(8):2167	15;21(8):2167	NUM
cana-6155	295	7	.	.	PUNCT
cana-6155	296	1	https://doi.org/10.1103/physrevd.21.2167	https://doi.org/10.1103/physrevd.21.2167	PROPN
cana-6155	296	2	33	33	NUM
cana-6155	296	3	.	.	PUNCT
cana-6155	297	1	freund	freund	PROPN
cana-6155	297	2	pgo	pgo	PROPN
cana-6155	297	3	,	,	PUNCT
cana-6155	297	4	hawking	hawk	VERB
cana-6155	297	5	s.	s.	PROPN
cana-6155	297	6	the	the	DET
cana-6155	297	7	pontifical	pontifical	ADJ
cana-6155	297	8	academy	academy	NOUN
cana-6155	297	9	of	of	ADP
cana-6155	297	10	sciences	sciences	PROPN
cana-6155	297	11	.	.	PUNCT
cana-6155	298	1	34	34	NUM
cana-6155	298	2	.	.	PUNCT
cana-6155	299	1	pawar	pawar	PROPN
cana-6155	299	2	dd	dd	PROPN
cana-6155	299	3	,	,	PUNCT
cana-6155	299	4	jakore	jakore	PROPN
cana-6155	299	5	bl	bl	PROPN
cana-6155	299	6	,	,	PUNCT
cana-6155	299	7	dagwal	dagwal	PROPN
cana-6155	299	8	vj	vj	PROPN
cana-6155	299	9	.	.	PROPN
cana-6155	300	1	kaluza	kaluza	PROPN
cana-6155	300	2	–	–	PUNCT
cana-6155	300	3	klein	klein	PROPN
cana-6155	300	4	cosmological	cosmological	ADJ
cana-6155	300	5	model	model	NOUN
cana-6155	300	6	with	with	ADP
cana-6155	300	7	strange	strange	ADJ
cana-6155	300	8	-	-	PUNCT
cana-6155	300	9	quark	quark	NOUN
cana-6155	300	10	-	-	PUNCT
cana-6155	300	11	matter	matter	NOUN
cana-6155	300	12	in	in	ADP
cana-6155	300	13	lyra	lyra	PROPN
cana-6155	300	14	geometry	geometry	PROPN
cana-6155	300	15	.	.	PUNCT
cana-6155	301	1	international	international	ADJ
cana-6155	301	2	journal	journal	NOUN
cana-6155	301	3	of	of	ADP
cana-6155	301	4	geometric	geometric	ADJ
cana-6155	301	5	methods	method	NOUN
cana-6155	301	6	in	in	ADP
cana-6155	301	7	modern	modern	ADJ
cana-6155	301	8	physics	physic	NOUN
cana-6155	301	9	.	.	PUNCT
cana-6155	302	1	2023	2023	NUM
cana-6155	302	2	apr	apr	NOUN
cana-6155	302	3	31;20(05):2350079	31;20(05):2350079	NUM
cana-6155	302	4	.	.	PUNCT
cana-6155	303	1	https://doi.org/10.1142/s0219887823500792	https://doi.org/10.1142/s0219887823500792	NUM
cana-6155	303	2	35	35	NUM
cana-6155	303	3	.	.	PUNCT
cana-6155	304	1	aditya	aditya	PROPN
cana-6155	304	2	y	y	PROPN
cana-6155	304	3	,	,	PUNCT
cana-6155	304	4	raju	raju	PROPN
cana-6155	304	5	kd	kd	PROPN
cana-6155	304	6	,	,	PUNCT
cana-6155	304	7	rao	rao	PROPN
cana-6155	304	8	vu	vu	PROPN
cana-6155	304	9	,	,	PUNCT
cana-6155	304	10	reddy	reddy	PROPN
cana-6155	304	11	dr	dr	PROPN
cana-6155	304	12	.	.	PROPN
cana-6155	304	13	kaluza	kaluza	PROPN
cana-6155	304	14	-	-	PUNCT
cana-6155	304	15	klein	klein	PROPN
cana-6155	304	16	dark	dark	PROPN
cana-6155	304	17	energy	energy	NOUN
cana-6155	304	18	model	model	NOUN
cana-6155	304	19	in	in	ADP
cana-6155	304	20	lyra	lyra	PROPN
cana-6155	304	21	manifold	manifold	PROPN
cana-6155	304	22	in	in	ADP
cana-6155	304	23	the	the	DET
cana-6155	304	24	presence	presence	NOUN
cana-6155	304	25	of	of	ADP
cana-6155	304	26	massive	massive	ADJ
cana-6155	304	27	scalar	scalar	ADJ
cana-6155	304	28	field	field	NOUN
cana-6155	304	29	.	.	PUNCT
cana-6155	305	1	astrophysics	astrophysic	NOUN
cana-6155	305	2	and	and	CCONJ
cana-6155	305	3	space	space	NOUN
cana-6155	305	4	science	science	NOUN
cana-6155	305	5	,	,	PUNCT
cana-6155	305	6	364(11	364(11	NUM
cana-6155	305	7	)	)	PUNCT
cana-6155	305	8	(	(	PUNCT
cana-6155	305	9	2019	2019	NUM
cana-6155	305	10	)	)	PUNCT
cana-6155	305	11	.	.	PUNCT
cana-6155	306	1	https://doi.org/10.1007/s10509-0193681-2	https://doi.org/10.1007/s10509-0193681-2	PROPN
cana-6155	306	2	36	36	NUM
cana-6155	306	3	.	.	PUNCT
cana-6155	307	1	mishra	mishra	PROPN
cana-6155	307	2	ak	ak	PROPN
cana-6155	307	3	,	,	PUNCT
cana-6155	307	4	sharma	sharma	PROPN
cana-6155	307	5	uk	uk	PROPN
cana-6155	307	6	,	,	PUNCT
cana-6155	307	7	pradhan	pradhan	PROPN
cana-6155	307	8	a.	a.	PROPN
cana-6155	307	9	a	a	DET
cana-6155	307	10	comparative	comparative	ADJ
cana-6155	307	11	study	study	NOUN
cana-6155	307	12	of	of	ADP
cana-6155	307	13	kaluza	kaluza	PROPN
cana-6155	307	14	–	–	PUNCT
cana-6155	307	15	klein	klein	PROPN
cana-6155	307	16	model	model	PROPN
cana-6155	307	17	with	with	ADP
cana-6155	307	18	magnetic	magnetic	ADJ
cana-6155	307	19	field	field	NOUN
cana-6155	307	20	in	in	ADP
cana-6155	307	21	lyra	lyra	PROPN
cana-6155	307	22	manifold	manifold	PROPN
cana-6155	307	23	and	and	CCONJ
cana-6155	307	24	general	general	ADJ
cana-6155	307	25	relativity	relativity	NOUN
cana-6155	307	26	.	.	PUNCT
cana-6155	308	1	new	new	ADJ
cana-6155	308	2	astronomy	astronomy	NOUN
cana-6155	308	3	.	.	PUNCT
cana-6155	309	1	2019	2019	NUM
cana-6155	309	2	jul1;70:27	jul1;70:27	NOUN
cana-6155	309	3	-	-	SYM
cana-6155	309	4	35	35	NUM
cana-6155	309	5	.	.	PUNCT
cana-6155	310	1	https://doi.org/10.1016/j.newast.2019.02.003	https://doi.org/10.1016/j.newast.2019.02.003	PROPN
cana-6155	310	2	37	37	NUM
cana-6155	310	3	.	.	PUNCT
cana-6155	310	4	mete	mete	ADJ
cana-6155	310	5	vg	vg	PROPN
cana-6155	310	6	,	,	PUNCT
cana-6155	310	7	bansod	bansod	PROPN
cana-6155	310	8	as	as	ADP
cana-6155	310	9	,	,	PUNCT
cana-6155	310	10	murade	murade	NOUN
cana-6155	310	11	pb	pb	PRON
cana-6155	310	12	.	.	PUNCT
cana-6155	311	1	accelerating	accelerate	VERB
cana-6155	311	2	anisotropic	anisotropic	NOUN
cana-6155	311	3	bianchi	bianchi	NOUN
cana-6155	311	4	type	type	NOUN
cana-6155	311	5	-	-	PUNCT
cana-6155	311	6	v	v	NOUN
cana-6155	311	7	model	model	NOUN
cana-6155	311	8	with	with	ADP
cana-6155	311	9	barotropic	barotropic	ADJ
cana-6155	311	10	matter	matter	NOUN
cana-6155	311	11	and	and	CCONJ
cana-6155	311	12	viscous	viscous	ADJ
cana-6155	311	13	dark	dark	ADJ
cana-6155	311	14	energy	energy	NOUN
cana-6155	311	15	in	in	ADP
cana-6155	311	16	lyra	lyra	PROPN
cana-6155	311	17	geometry	geometry	PROPN
cana-6155	311	18	.	.	PUNCT
cana-6155	312	1	international	international	ADJ
cana-6155	312	2	journal	journal	PROPN
cana-6155	312	3	of	of	ADP
cana-6155	312	4	mathematics	mathematics	NOUN
cana-6155	312	5	trends	trend	NOUN
cana-6155	312	6	and	and	CCONJ
cana-6155	312	7	technologyijmtt	technologyijmtt	NOUN
cana-6155	312	8	.	.	PUNCT
cana-6155	313	1	2020;66	2020;66	NUM
cana-6155	313	2	.	.	PUNCT
cana-6155	314	1	doi:10.14445/22315373	doi:10.14445/22315373	PROPN
cana-6155	314	2	/	/	SYM
cana-6155	314	3	ijmtt	ijmtt	NOUN
cana-6155	314	4	-	-	PUNCT
cana-6155	314	5	v66i11p510	v66i11p510	ADJ
cana-6155	314	6	.	.	X
cana-6155	314	7	38	38	NUM
cana-6155	314	8	.	.	PUNCT
cana-6155	315	1	trivedi	trivedi	PROPN
cana-6155	315	2	d	d	PROPN
cana-6155	315	3	,	,	PUNCT
cana-6155	315	4	bhabor	bhabor	PROPN
cana-6155	315	5	ak	ak	PROPN
cana-6155	315	6	.	.	PROPN
cana-6155	315	7	higher	higher	ADV
cana-6155	315	8	-	-	PUNCT
cana-6155	315	9	dimensional	dimensional	ADJ
cana-6155	315	10	bianchi	bianchi	NOUN
cana-6155	315	11	type	type	NOUN
cana-6155	315	12	-	-	PUNCT
cana-6155	315	13	i	i	PRON
cana-6155	315	14	dark	dark	ADJ
cana-6155	315	15	energy	energy	NOUN
cana-6155	315	16	models	model	NOUN
cana-6155	315	17	with	with	ADP
cana-6155	315	18	barotropic	barotropic	ADJ
cana-6155	315	19	fluid	fluid	NOUN
cana-6155	315	20	in	in	ADP
cana-6155	315	21	saezballester	saezballester	NOUN
cana-6155	315	22	scalar	scalar	ADJ
cana-6155	315	23	-	-	PUNCT
cana-6155	315	24	tensor	tensor	NOUN
cana-6155	315	25	theory	theory	NOUN
cana-6155	315	26	of	of	ADP
cana-6155	315	27	gravitation	gravitation	NOUN
cana-6155	315	28	.	.	PUNCT
cana-6155	316	1	indian	indian	PROPN
cana-6155	316	2	journal	journal	PROPN
cana-6155	316	3	of	of	ADP
cana-6155	316	4	physics	physics	PROPN
cana-6155	316	5	.	.	PUNCT
cana-6155	317	1	2023	2023	NUM
cana-6155	317	2	apr;97(4):1317	apr;97(4):1317	PROPN
cana-6155	317	3	-	-	SYM
cana-6155	317	4	27	27	NUM
cana-6155	317	5	.	.	PUNCT
cana-6155	318	1	https://doi.org/10.1007/s12648-022-02448-3	https://doi.org/10.1007/s12648-022-02448-3	PROPN
cana-6155	318	2	39	39	NUM
cana-6155	318	3	.	.	PUNCT
cana-6155	319	1	vijaya	vijaya	PROPN
cana-6155	319	2	santhi	santhi	PROPN
cana-6155	319	3	m	m	PROPN
cana-6155	319	4	,	,	PUNCT
cana-6155	319	5	rao	rao	PROPN
cana-6155	319	6	vu	vu	PROPN
cana-6155	319	7	,	,	PUNCT
cana-6155	319	8	aditya	aditya	PROPN
cana-6155	319	9	y.	y.	PROPN
cana-6155	319	10	kaluza	kaluza	PROPN
cana-6155	319	11	-	-	PUNCT
cana-6155	319	12	klein	klein	PROPN
cana-6155	319	13	cosmological	cosmological	ADJ
cana-6155	319	14	models	model	NOUN
cana-6155	319	15	with	with	ADP
cana-6155	319	16	two	two	NUM
cana-6155	319	17	fluids	fluid	NOUN
cana-6155	319	18	source	source	NOUN
cana-6155	319	19	in	in	ADP
cana-6155	319	20	brans	bran	NOUN
cana-6155	319	21	-	-	PUNCT
cana-6155	319	22	dicke	dicke	PROPN
cana-6155	319	23	theory	theory	NOUN
cana-6155	319	24	of	of	ADP
cana-6155	319	25	gravitation	gravitation	NOUN
cana-6155	319	26	.	.	PUNCT
cana-6155	320	1	the	the	DET
cana-6155	320	2	african	african	PROPN
cana-6155	320	3	review	review	NOUN
cana-6155	320	4	of	of	ADP
cana-6155	320	5	physics	physics	NOUN
cana-6155	320	6	.	.	PUNCT
cana-6155	321	1	2016	2016	NUM
cana-6155	321	2	dec	dec	PROPN
cana-6155	321	3	13;11	13;11	NUM
cana-6155	321	4	.	.	PUNCT