Characterization of generalized quasi-Einstein manifolds and modified gravity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911234761162752 |
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| author | De, Uday Chand Yilmaz, Hülya Bağdatli |
| author_facet | De, Uday Chand Yilmaz, Hülya Bağdatli |
| contents | In this work, a detailed examination of a specific case of a generalized quasi-Einstein manifold (GQE)n is provided. It begins by exploring generalized quasi-Einstein spacetimes under certain conditions. The analysis then focuses on cases that admit a parallel time-like vector field. Among the findings, it is demonstrated that such spacetimes can be categorized as generalized Robertson-Walker spacetimes, Robertson-Walker spacetimes, and quasi-constant curvature spacetimes. Additionally, the physical implications of these results are discussed. It is also investigated (GQE)4 spacetimes, which accept F(R)-gravity and feature a parallel unit time-like vector field. Finally, various energy conditions are analyzed based on the results related to F(R)-gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of generalized quasi-Einstein manifolds and modified gravity De, Uday Chand Yilmaz, Hülya Bağdatli General Relativity and Quantum Cosmology Mathematical Physics 53B30, 53C25, 53C50, 53Z05 In this work, a detailed examination of a specific case of a generalized quasi-Einstein manifold (GQE)n is provided. It begins by exploring generalized quasi-Einstein spacetimes under certain conditions. The analysis then focuses on cases that admit a parallel time-like vector field. Among the findings, it is demonstrated that such spacetimes can be categorized as generalized Robertson-Walker spacetimes, Robertson-Walker spacetimes, and quasi-constant curvature spacetimes. Additionally, the physical implications of these results are discussed. It is also investigated (GQE)4 spacetimes, which accept F(R)-gravity and feature a parallel unit time-like vector field. Finally, various energy conditions are analyzed based on the results related to F(R)-gravity. |
| title | Characterization of generalized quasi-Einstein manifolds and modified gravity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics 53B30, 53C25, 53C50, 53Z05 |
| url | https://arxiv.org/abs/2510.23293 |