Spacetimes Admitting Concircular Curvature Tensor in f(R) Gravity

The main object of this paper is to investigate spacetimes admitting concircular curvature tensor in f ( R ) gravity theory. At first, concircularly flat and concircularly flat perfect fluid spacetimes in f R gravity are studied. In this case, the forms of the isotropic pressure p and the energy den...

Full description

Saved in:
Bibliographic Details
Published in:Frontiers in physics 2022-01, Vol.9
Main Authors: De, Uday Chand, Shenawy, Sameh, Abu-Donia, H. M., Turki, Nasser Bin, Alsaeed, Suliman, Syied, Abdallah Abdelhameed
Format: Article
Language:English
Subjects:
concircular curvature tensor
energy conditions in modified gravity
energy-momentum tensor
f (R) gravity theory
perfect fluid
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The main object of this paper is to investigate spacetimes admitting concircular curvature tensor in f ( R ) gravity theory. At first, concircularly flat and concircularly flat perfect fluid spacetimes in f R gravity are studied. In this case, the forms of the isotropic pressure p and the energy density σ are obtained. Next, some energy conditions are considered. Finally, perfect fluid spacetimes with divergence free concircular curvature tensor in f ( R ) gravity are studied; amongst many results, it is proved that if the energy-momentum tensor of such spacetimes is recurrent or bi-recurrent, then the Ricci tensor is semi-symmetric and hence these spacetimes either represent inflation or their isotropic pressure and energy density are constants.
ISSN:2296-424X
2296-424X
DOI:10.3389/fphy.2021.800060