id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
american_scientific_journal-1841	de Silva, Nalin; Jayakody, Kumudumalee; Don Maddumage, Hemantha; Katugampala, Wasantha	Space-time as Dark Energy and Dark Matter	2016	11	.pdf	application/pdf	4503	200	65	Using equations (3.1) and (3.2) with 𝑝𝑝 = 0 we obtain the following expressions for density 𝜌𝜌 of the homogeneous universe and the density of energy due to space-time which is represented by 𝛬𝛬′. 𝜌𝜌 = 1 4𝜋𝜋𝜋𝜋 �𝑘𝑘𝑐𝑐 2+�̇�𝑅2−𝑅𝑅�̈�𝑅 𝑅𝑅2𝑐𝑐2 � (5.1) 𝛬𝛬′ = 1 8𝜋𝜋𝜋𝜋 �𝑘𝑘𝑐𝑐 2+�̇�𝑅2+2𝑅𝑅�̈�𝑅 𝑅𝑅2𝑐𝑐2 � (5.2) Using the boundary condition𝛬𝛬 ′ ρ = 𝑠𝑠, where n is a constant at the present epoch, and substituting the above expressions for ρ and Λ' , we have 1 (8𝜋𝜋𝜋𝜋) �𝑘𝑘𝑐𝑐 2+�̇�𝑅2+2𝑅𝑅�̈�𝑅 𝑅𝑅2𝑐𝑐2 � � (4𝜋𝜋𝜋𝜋) 𝑅𝑅2𝑐𝑐2 𝑘𝑘𝑐𝑐2+�̇�𝑅2−𝑅𝑅�̈�𝑅 � = 𝑠𝑠, (5.3) which reduces to (2𝑠𝑠 − 1)(𝑘𝑘𝑐𝑐2 + �̇�𝑅2 ) This energy of the space time is not the same as the vacuum energy in general, however, we do not rule out the possibility of space time energy giving the vacuum energy at some epoch in the evolution of the universe.	cache/american_scientific_journal-1841.pdf	txt/american_scientific_journal-1841.txt