On a type of spacetime

Autor:	Mallick Sahanous, Chand De Uday
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Weakly Ricci symmetric manifold weakly Ricci symmetric spacetime conformally flat weakly Ricci symmetric spacetime Robertson-Walker space-time weyl conformal curvature tensor conformally flat weakly Ricci symmetric perfect fluid spacetime energy-mome Mathematics QA1-939
Zdroj:	Mathematica Moravica, Vol 18, Iss 1, Pp 29-38 (2014)
Druh dokumentu:	article
ISSN:	1450-5932 2560-5542
Popis:	The object of the present paper is to study a special type of spacetime. It is proved that in a conformally flat (W RS)4 spacetime with non-zero scalar curvature the vector field p defined by ɡ(X, p) = E(X) is irrotational and the integral curves of the vector field are geodesics. We also show that a conformally flat (W RS)4 spacetime with non-zero scalar curvature is the Robertson-Walker spacetime. Next possible local cosmological structure of such a spacetime is determined. Finally, we construct an example of a conformally flat (W RS)4 space-time with non-zero scalar curvature.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2265b2a560d9436ba52ecd5083e2f7c4 Zobrazit plný text záznamu View record in DOAJ