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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | https://arxiv.org/abs/2407.05940 |
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| _version_ | 1866911948480708608 |
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| author | Pandey, Pankaj Sharma, Kamakshi |
| author_facet | Pandey, Pankaj Sharma, Kamakshi |
| contents | This article aims to investigate the characteristics of (alpha, beta) Ricci Yamabe soliton (briefly (alpha, beta) (RYS)) and its spacetime. The inclusion of killing vector field and the Lorentzian metrics make the Ricci-Yamabe soliton richer and interesting. We study the cosmological and dust fluid model on (RYS) equipped with Lorentzian para Sasakian (LPS) spacetime. The cases of eta-parallel Ricci tensor and the Poisson structure have been studied on (RYS) equipped with (LPS) manifold. Gradient (RYS) equipped with (LPS) manifold also reveal. Finally, we establish an example of four-dimensional LP Sasakian manifold (LPS) that satisfy (alpha, beta) (RYS) and some results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05940 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some Novel Results on (alpha, beta)-Ricci-Yamabe Soliton and its Spacetime Pandey, Pankaj Sharma, Kamakshi General Mathematics 53C25 This article aims to investigate the characteristics of (alpha, beta) Ricci Yamabe soliton (briefly (alpha, beta) (RYS)) and its spacetime. The inclusion of killing vector field and the Lorentzian metrics make the Ricci-Yamabe soliton richer and interesting. We study the cosmological and dust fluid model on (RYS) equipped with Lorentzian para Sasakian (LPS) spacetime. The cases of eta-parallel Ricci tensor and the Poisson structure have been studied on (RYS) equipped with (LPS) manifold. Gradient (RYS) equipped with (LPS) manifold also reveal. Finally, we establish an example of four-dimensional LP Sasakian manifold (LPS) that satisfy (alpha, beta) (RYS) and some results. |
| title | Some Novel Results on (alpha, beta)-Ricci-Yamabe Soliton and its Spacetime |
| topic | General Mathematics 53C25 |
| url | https://arxiv.org/abs/2407.05940 |