Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866910314768891904 |
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| author | Zhao, Peibiao De, Uday Chand Ünal, Bülent De, Krishnendu |
| author_facet | Zhao, Peibiao De, Uday Chand Ünal, Bülent De, Krishnendu |
| contents | The aim of the present paper is to obtain the condition under which a pseudosymmetric spacetime to be a perfect fluid spacetime. It is proven that a pseudosymmetric generalized Robertson-Walker spacetime is a perfect fluid spacetime. Moreover, we establish that a conformally flat pseudosymmetric spacetime is a generalized Robertson-Walker spacetime. Next, it is shown that a pseudosymmetric dust fluid with constant scalar curvature satisfying Einstein's field equations without cosmological constant is vacuum. Finally, we construct a non-trivial example of pseudosymmetric spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_03597 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime Zhao, Peibiao De, Uday Chand Ünal, Bülent De, Krishnendu General Relativity and Quantum Cosmology Differential Geometry 53D10, 53D15, 53D25, 53D35 The aim of the present paper is to obtain the condition under which a pseudosymmetric spacetime to be a perfect fluid spacetime. It is proven that a pseudosymmetric generalized Robertson-Walker spacetime is a perfect fluid spacetime. Moreover, we establish that a conformally flat pseudosymmetric spacetime is a generalized Robertson-Walker spacetime. Next, it is shown that a pseudosymmetric dust fluid with constant scalar curvature satisfying Einstein's field equations without cosmological constant is vacuum. Finally, we construct a non-trivial example of pseudosymmetric spacetime. |
| title | Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime |
| topic | General Relativity and Quantum Cosmology Differential Geometry 53D10, 53D15, 53D25, 53D35 |
| url | https://arxiv.org/abs/2105.03597 |