Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces

Sameh Shenawy, Uday Chand De, Nasser Bin Turki, Suliman Alsaeed, Abdallah Abdelhameed Syied and Bibhas Ranjan Majhi

Journal of Mathematics, 2021, vol. 2021, 1-6

Abstract: In the present paper, we focused our attention to study pseudo-Ricci symmetric spacetimes in Gray’s decomposition subspaces. It is proved that PRSn spacetimes are Ricci flat in trivial, A, and B subspaces, whereas perfect fluid in subspaces I, I⊕A, and I⊕B, and have zero scalar curvature in subspace A⊕B. Finally, it is proved that pseudo-Ricci symmetric GRW spacetimes are vacuum, and as a consequence of this result, we address several corollaries.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6188097

DOI: 10.1155/2021/6188097

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