Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910727836532736 |
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| author | Lima, M. Margarida Gomes, Cláudio |
| author_facet | Lima, M. Margarida Gomes, Cláudio |
| contents | Schwarzschild and Reissner-Nordstrøm black hole solutions are found in the context of a non-minimal matter-curvature coupling with the Weyl connection, both in vacuum and in the presence of a cosmological constant-like matter content. This special case of non-metricity leads to black hole solutions with non-vanishing scalar curvature. Moreover, vacuum Schwarzschild solutions differ from the ones from a constant curvature scenario in $f(R)$ theories with the appearance of a coefficient in the term linear in r and a corrected "cosmological constant". Non-vacuum Shwarzschild solutions have formally the same solutions as in the previous case with the exception being the physical interpretation of a cosmological constant as the source of the matter Lagrangian as not a simple reparametrization of the $f(R)$ description. Reissner-Nordstrøm solutions cannot be found in vacuum, but only in the presence of matter fields, such that the solutions also differ from the constant curvature scenario in $f(R)$ theories by the term linear in r and corrected/dressed charge and cosmological constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01856 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity Lima, M. Margarida Gomes, Cláudio General Relativity and Quantum Cosmology High Energy Physics - Theory Schwarzschild and Reissner-Nordstrøm black hole solutions are found in the context of a non-minimal matter-curvature coupling with the Weyl connection, both in vacuum and in the presence of a cosmological constant-like matter content. This special case of non-metricity leads to black hole solutions with non-vanishing scalar curvature. Moreover, vacuum Schwarzschild solutions differ from the ones from a constant curvature scenario in $f(R)$ theories with the appearance of a coefficient in the term linear in r and a corrected "cosmological constant". Non-vacuum Shwarzschild solutions have formally the same solutions as in the previous case with the exception being the physical interpretation of a cosmological constant as the source of the matter Lagrangian as not a simple reparametrization of the $f(R)$ description. Reissner-Nordstrøm solutions cannot be found in vacuum, but only in the presence of matter fields, such that the solutions also differ from the constant curvature scenario in $f(R)$ theories by the term linear in r and corrected/dressed charge and cosmological constant. |
| title | Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.01856 |