Solitons and geometrical structures in a perfect fluid spacetime
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918108828008448 |
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| author | Blaga, Adara M. |
| author_facet | Blaga, Adara M. |
| contents | Geometrical aspects of a perfect fluid spacetime are described in terms of different curvature tensors and $η$-Ricci and $η$-Einstein solitons in a perfect fluid spacetime are determined. Conditions for the Ricci soliton to be steady, expanding or shrinking are also given. In a particular case when the potential vector field $ξ$ of the soliton is of gradient type, $ξ:=grad(f)$, we derive a Poisson equation from the soliton equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1705_04094 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Solitons and geometrical structures in a perfect fluid spacetime Blaga, Adara M. Differential Geometry 53B50, 53C44, 53C50, 83C02 Geometrical aspects of a perfect fluid spacetime are described in terms of different curvature tensors and $η$-Ricci and $η$-Einstein solitons in a perfect fluid spacetime are determined. Conditions for the Ricci soliton to be steady, expanding or shrinking are also given. In a particular case when the potential vector field $ξ$ of the soliton is of gradient type, $ξ:=grad(f)$, we derive a Poisson equation from the soliton equation. |
| title | Solitons and geometrical structures in a perfect fluid spacetime |
| topic | Differential Geometry 53B50, 53C44, 53C50, 83C02 |
| url | https://arxiv.org/abs/1705.04094 |