A conformally flat generalized Ricci recurrent spacetime in F(R)-gravity
Document Type
Article
Publication Date
8-1-2021
Abstract
In the present paper we study a conformally flat generalized Ricci recurrent perfect fluid spacetime with constant Ricci scalar as a solution of modified F(R)-gravity theory. We show that a Robertson-Walker spacetime is generalized Ricci Recurrent if and only if it is Ricci symmetric. The perfect fluid type matter is shown to have EoS omega = 1. Some energy conditions are analyzed with couple of popular toy models of F(R)-gravity, like F(R) = R + alpha R-m where alpha, m are constants and F (R) = R + beta R in R where beta is constant. In harmony with the recent observational studies of accelerated expansion of the Universe, both cases exhibit that the null, weak, and dominant energy conditions fulfill their requirements whereas the strong energy condition is violated.
Keywords
Spacetime, F(R) gravity, Ricci scalar, Perfect fluid, Energy conditions, Ricci symmetric
Divisions
Science
Publication Title
Physica Scripta
Volume
96
Issue
8
Publisher
IOP Publishing: Hybrid Open Access
Publisher Location
TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND