Almost pseudo-Ricci symmetric spacetime solutions in $F(R)$-gravity

Abstract

The objective of the present paper is to study 4-dimensional almost pseudo Ricci symmetric perfect fluid spacetimes $(APRS{)}_4$. We show that a Robertson-Walker spacetime is $(APRS{)}_4$ and vice versa under certain condition imposed on its scale factor. Some popular toy models of $F(R)$-gravity are also studied under the current setting and various energy conditions are investigated.

arXiv admin note: text overlap with arXiv:2101.11576

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• A complete study of conformally flat pseudo-symmetric spacetimes in the theory of F(R)-gravity
• Characterizations of Perfect fluid spacetimes obeying $f(\mathcal{R})$-gravity equipped with different gradient solitons