Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914689737293824 |
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| author | De, Krishnendu Khan, Mohammad Nazrul Islam De, Uday Chand |
| author_facet | De, Krishnendu Khan, Mohammad Nazrul Islam De, Uday Chand |
| contents | In this article, we examine gradient type Ricci solitons and $(m,τ)$-quasi Einstein solitons in generalized Robertson-Walker ($GRW$) spacetimes. Besides, we demonstrate that in this scenario the $GRW$ spacetime presents the Robertson-Walker ($RW$) spacetime and the perfect fluid ($PF$) spacetime presents the phantom era. Consequently, we show that if a $GRW$ spacetime permits a gradient $τ$- Einstein solitons, then it also represents a $PF$ spacetime under certain condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15339 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons De, Krishnendu Khan, Mohammad Nazrul Islam De, Uday Chand Differential Geometry In this article, we examine gradient type Ricci solitons and $(m,τ)$-quasi Einstein solitons in generalized Robertson-Walker ($GRW$) spacetimes. Besides, we demonstrate that in this scenario the $GRW$ spacetime presents the Robertson-Walker ($RW$) spacetime and the perfect fluid ($PF$) spacetime presents the phantom era. Consequently, we show that if a $GRW$ spacetime permits a gradient $τ$- Einstein solitons, then it also represents a $PF$ spacetime under certain condition. |
| title | Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2402.15339 |