Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916335845376000 |
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| author | Landry, Alexandre |
| author_facet | Landry, Alexandre |
| contents | In this paper, we investigate time-dependent Kantowski-Sachs spherically symmetric teleparallel $F(T)$ gravity in vacuum and in a perfect isotropic fluid. We begin by finding the field equations and solve for new teleparallel $F(T)$ solutions. With a power-law ansatz for the coframe functions, we find new non-trivial teleparallel $F(T)$ vacuum solutions. We then proceed to find new non-trivial teleparallel $F(T)$ solutions in a perfect isotropic fluid with both linear and non-linear equation of state. We find a great number of new exact and approximated teleparallel $F(T)$ solutions. These classes of new solutions are relevant for future cosmological applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18659 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity Landry, Alexandre General Relativity and Quantum Cosmology Mathematical Physics In this paper, we investigate time-dependent Kantowski-Sachs spherically symmetric teleparallel $F(T)$ gravity in vacuum and in a perfect isotropic fluid. We begin by finding the field equations and solve for new teleparallel $F(T)$ solutions. With a power-law ansatz for the coframe functions, we find new non-trivial teleparallel $F(T)$ vacuum solutions. We then proceed to find new non-trivial teleparallel $F(T)$ solutions in a perfect isotropic fluid with both linear and non-linear equation of state. We find a great number of new exact and approximated teleparallel $F(T)$ solutions. These classes of new solutions are relevant for future cosmological applications. |
| title | Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2406.18659 |