Abstract
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.
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