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

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...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-6
Main Authors: Shenawy, Sameh, Chand De, Uday, Bin Turki, Nasser, Alsaeed, Suliman, Abdelhameed Syied, Abdallah
Format: Article
Language:English
Subjects:
Decomposition
Mathematics
Spacetime
Subspaces
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Summary: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/6188097