A conformally flat generalized Ricci recurrent spacetime in F(R)-gravity

De, Avik and Loo, Tee-How and Solanki, Raja and Sahoo, P. K. (2021) A conformally flat generalized Ricci recurrent spacetime in F(R)-gravity. Physica Scripta, 96 (8). ISSN 0031-8949, DOI https://doi.org/10.1088/1402-4896/abf9d2.

Full text not available from this repository.


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.

Item Type: Article
Uncontrolled Keywords: Spacetime; F(R) gravity; Ricci scalar; Perfect fluid; Energy conditions; Ricci symmetric
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 18 Apr 2022 01:16
Last Modified: 18 Apr 2022 01:16
URI: http://eprints.um.edu.my/id/eprint/26756

Actions (login required)

View Item View Item