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.

On some classes of almost pseudo Ricci symmetric manifolds

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

The objective of the present paper is to study 4-dimensional almost pseudo Ricci symmetric perfect fluid spacetimes $$(\textit{APRS})_4$$
 . We show that a Robertson–Walker spacetime is $$(\textit{APRS})_4$$
 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.

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

The objective of the present paper is to investigate an almost-pseudo-Ricci symmetric FRW spacetime with a constant Ricci scalar in a dynamic cosmological term Λ(t) and equation of state (EoS) ω(t) scenario. Several cosmological parameters are calculated in this setting and thoroughly studied, which shows that the model satisfies the late-time accelerating expansion of the universe. We also examine all of the energy conditions to check our model’s self-stability.

Almost-Pseudo-Ricci Symmetric FRW Universe with a Dynamic Cosmological Term and Equation of State

The object of the present paper is to study almost pseudo-Q-symmetric manifolds A(PQS)n. Some geometric properties have been studied which recover some known results of pseudo Q-symmetric manifolds...

On some classes of almost pseudo Ricci symmetric manifolds

Citations

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

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

Almost-Pseudo-Ricci Symmetric FRW Universe with a Dynamic Cosmological Term and Equation of State

Almost pseudo-Q-symmetric semi-Riemannian manifolds

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