Locally Rotationally Symmetric spacetimes of type II in $f(\mathcal{Q})$ gravity
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866918127587033088 |
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| author | Esposito, Fabrizio Carloni, Sante Vignolo, Stefano |
| author_facet | Esposito, Fabrizio Carloni, Sante Vignolo, Stefano |
| contents | We investigate the $1+1+2$ covariant formalism in the presence of nonmetricity. Focusing on Locally Rotationally Symmetric spacetimes, we show how nonmetricity affects all the kinematic quantities involved in the covariant $1+1+2$ decomposition. We apply the resulting geometrical framework to study both homogeneous solutions and static spherically symmetric solutions in the context of $f(\mathcal{Q})$ gravity. We obtain sufficient conditions for homogeneous solutions with flat spatial hypersurfaces and Schwarzschild-de Sitter type solutions in the $1+1+2$ formalism. We also explore an elementary gravastar solution utilizing covariant junction conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17669 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Locally Rotationally Symmetric spacetimes of type II in $f(\mathcal{Q})$ gravity Esposito, Fabrizio Carloni, Sante Vignolo, Stefano General Relativity and Quantum Cosmology Mathematical Physics We investigate the $1+1+2$ covariant formalism in the presence of nonmetricity. Focusing on Locally Rotationally Symmetric spacetimes, we show how nonmetricity affects all the kinematic quantities involved in the covariant $1+1+2$ decomposition. We apply the resulting geometrical framework to study both homogeneous solutions and static spherically symmetric solutions in the context of $f(\mathcal{Q})$ gravity. We obtain sufficient conditions for homogeneous solutions with flat spatial hypersurfaces and Schwarzschild-de Sitter type solutions in the $1+1+2$ formalism. We also explore an elementary gravastar solution utilizing covariant junction conditions. |
| title | Locally Rotationally Symmetric spacetimes of type II in $f(\mathcal{Q})$ gravity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2311.17669 |