Perfect fluid spacetimes, Gray`s decomposition and $f(\mathcal{R}, {T})$-gravity

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Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:1
Perfect fluid spacetimes, Gray`s decomposition and $f(\mathcal{R}, {T})$-gravity

Perfect fluid spacetimes, Gray`s decomposition and $f(\mathcal{R}, {T})$-gravity

Pages : 101-112

View : 34 | Download : 12

Publication Date : 2022-02-14

Article Type : Research Paper

Abstract :In this paper, first we give the complete classifications of perfect fluid spacetimes under the Gray`s decomposition. Then we investigate the condition under which the Ricci tensor is a conformal Killing tensor in a perfect fluid spacetime. Later, we study perfect fluid spacetimes in $finsert ignore into journalissuearticles values(\mathcal{R},T);$-gravity theory. We find some relations between isotropic pressure and energy density of the Ricci semisymmetric perfect fluid spacetimes satisfying $finsert ignore into journalissuearticles values(\mathcal{R},T);$-gravity equation to represent dark matter era.
Keywords : perfect fluid, Gray`s decomposition, f \mathcal R, T, gravity

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