Browsing by Author "De, Krishnendu"

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    Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime
    (World Scientific Publishing Co. Pte. Ltd., 2021) Zhao, Peibiao; De, Uday Chand; Ünal, Bülent; De, Krishnendu
    The aim of this paper is to obtain the condition under which a pseudosymmetric spacetime to be a perfect fluid spacetime. It is proven that a pseudosymmetric generalized Robertson–Walker spacetime is a perfect fluid spacetime. Moreover, we establish that a conformally flat pseudosymmetric spacetime is a generalized Robertson–Walker spacetime. Next, it is shown that a pseudosymmetric dust fluid with constant scalar curvature satisfying Einstein’s field equations without cosmological constant is vacuum. Finally, we construct a nontrivial example of pseudosymmetric spacetime.