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...

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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
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Language:English
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concircular curvature tensor
energy conditions in modified gravity
energy-momentum tensor
f (R) gravity theory
perfect fluid
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description 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.
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subjects concircular curvature tensor
energy conditions in modified gravity
energy-momentum tensor
f (R) gravity theory
perfect fluid
title Spacetimes Admitting Concircular Curvature Tensor in f(R) Gravity
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