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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.13829 |
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| _version_ | 1866918012492185600 |
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| author | Minazzoli, Olivier Wavasseur, Maxime |
| author_facet | Minazzoli, Olivier Wavasseur, Maxime |
| contents | In this paper, we generalize the Schwarzschild-Melvin solution within Einstein-Maxwell-dilaton theories to include non-null scalar charges, while remaining embedded in a magnetic or electric field \textit{à la Melvin}. We then use this general solution to obtain the solution in the specific case of Entangled Relativity after a conformal transformation. This notably enables us to verify that the analytical solution used in [Arruga \& Minazzoli 2021] in order to represent compact objects such as neutron stars in Entangled Relativity is indeed a good approximation of the exact solutions of Entangled Relativity when the background field goes to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13829 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories Minazzoli, Olivier Wavasseur, Maxime General Relativity and Quantum Cosmology In this paper, we generalize the Schwarzschild-Melvin solution within Einstein-Maxwell-dilaton theories to include non-null scalar charges, while remaining embedded in a magnetic or electric field \textit{à la Melvin}. We then use this general solution to obtain the solution in the specific case of Entangled Relativity after a conformal transformation. This notably enables us to verify that the analytical solution used in [Arruga \& Minazzoli 2021] in order to represent compact objects such as neutron stars in Entangled Relativity is indeed a good approximation of the exact solutions of Entangled Relativity when the background field goes to zero. |
| title | Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2502.13829 |