- Hacettepe Journal of Mathematics and Statistics
- Vol: 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
Authors : Sinem Güler, U. C. De
Pages : 101-112
Doi:10.15672/hujms.927654
View : 15 | Download : 6
Publication Date : 2022-02-14
Article Type : Research
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 $f(\mathcal{R},T)$-gravity theory. We find some relations between isotropic pressure and energy density of the Ricci semisymmetric perfect fluid spacetimes satisfying $f(\mathcal{R},T)$-gravity equation to represent dark matter era.Keywords : perfect fluid, Gray's decomposition, $f(\mathcal{R}, T)$-gravity