Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime

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Abstract

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.

Source Title

International Journal of Geometric Methods in Modern Physics

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World Scientific Publishing Co. Pte. Ltd.

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Published Version (Please cite this version)

Language

English