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

Sameh Shenawy | Zendy; Uday Chand De | Zendy; Nasser Bin Turki | Zendy; Suliman Alsaeed | Zendy; Abdallah Abdelhameed Syied | Zendy

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

Author(s) -

Sameh Shenawy,

Uday Chand De,

Nasser Bin Turki,

Suliman Alsaeed,

Abdallah Abdelhameed Syied

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6188097

Subject(s) - linear subspace , mathematics , subspace topology , scalar curvature , combinatorics , curvature , pure mathematics , geometry , mathematical analysis

In the present paper, we focused our attention to study pseudo-Ricci symmetric spacetimes in Gray’s decomposition subspaces. It is proved that PRS n 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.

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