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arXiv · 2407.07104

Pseudo generalized Ricci-recurrent spacetimes and modified gravity

Krishnendu De·Uday Chand De
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Abstract

In this paper we introduce and characterize a pseudo generalized Ricci-recurrent spacetimes and produce an example to verify the existence of such a spacetime. Then we demonstrate that a conformally flat generalized Ricci-recurrent spacetime with certain condition is a pseudo quasi-Einstein spacetime. Besides, it is proved that a pseudo generalized Ricci-recurrent generalized Robertson-Walker spacetime represents a perfect fluid spacetime. Lastly, we study the impact of this spacetime under $f(\mathcal{R},T^2)$ and $f\left(\mathcal{R}^{\ast}\right)$ gravity scenario and deduce several energy conditions.

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Krishnendu De, Uday Chand De. 2024-06-23. Pseudo generalized Ricci-recurrent spacetimes and modified gravity. https://doi.org/10.1142/s0217732324500627

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