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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6188097 |
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| author | Sameh Shenawy Uday Chand De Nasser Bin Turki Suliman Alsaeed Abdallah Abdelhameed Syied |
| author_facet | Sameh Shenawy Uday Chand De Nasser Bin Turki Suliman Alsaeed Abdallah Abdelhameed Syied |
| author_sort | Sameh Shenawy |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-48fe23335640411e8b05e24a52c85ee3 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-48fe23335640411e8b05e24a52c85ee32025-02-03T01:04:17ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/61880976188097Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s SubspacesSameh Shenawy0Uday Chand De1Nasser Bin Turki2Suliman Alsaeed3Abdallah Abdelhameed Syied4Basic Science Department, Modern Academy for Engineering and Technology, Maadi, EgyptDepartment of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, West Bengal, IndiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaApplied Science College, Department of Mathematical Sciences, Umm Al-Qura University, P.O. Box 715, Makkah 21955, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, EgyptIn 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.http://dx.doi.org/10.1155/2021/6188097 |
| spellingShingle | Sameh Shenawy Uday Chand De Nasser Bin Turki Suliman Alsaeed Abdallah Abdelhameed Syied Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces Journal of Mathematics |
| title | Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces |
| title_full | Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces |
| title_fullStr | Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces |
| title_full_unstemmed | Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces |
| title_short | Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces |
| title_sort | investigation of pseudo ricci symmetric spacetimes in gray s subspaces |
| url | http://dx.doi.org/10.1155/2021/6188097 |
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