Abstract
In this paper, we investigate pseudo Q-symmetric spacetimes \((PQS)_{4}\). At first, we prove that a \((PQS)_{4}\) spacetime is a quasi-Einstein spacetime. Then we investigate perfect fluid \((PQS)_{4}\) spacetimes and interesting properties are pointed out. From a result of Mantica and Suh (Int J Geom Methods Mod Phys 10:1350013, 2013) we have shown that \((PQS)_{4}\) spacetime is the Robertson-Walker spacetime. Further, it is shown that a \((PQS)_{4}\) spacetime with cyclic parallel Ricci tensor is an Einstein spacetime. Finally, we construct an example of a \((PQS)_{4}\) spacetime.
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Mallick, S., De, U.C. On Pseudo Q-symmetric spacetimes. Anal.Math.Phys. 9, 1333–1345 (2019). https://doi.org/10.1007/s13324-018-0240-x
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DOI: https://doi.org/10.1007/s13324-018-0240-x