Zhao, PeibiaoDe, Uday ChandÜnal, BülentDe, Krishnendu2022-01-282022-01-2820210219-8878http://hdl.handle.net/11693/76882The 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.EnglishLorentzian manifoldsPerfect fluid spacetimeGRW spacetimesPseudosymmetric spacetimesArticle10.1142/S02198878215021701793-6977