An exact solution describing a scalar counterpart to the Schwarzschild-Melvin Universe
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914079861374976 |
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| author | Cardoso, Vitor Natário, José |
| author_facet | Cardoso, Vitor Natário, José |
| contents | The Schwarzschild-Melvin spacetime is an exact solution of the Einstein electrovacuum equations describing a black hole immersed in a magnetic field which is asymptotically aligned with the z-axis. It plays an important role in our understanding of the interplay between geometry and matter, and is often used as a proxy for astrophysical environments. Here, we construct the scalar counterpart to the Schwarzschild-Melvin spacetime: a non-asymptotically flat black hole geometry with an everywhere regular scalar field whose gradient is asymptotically aligned with the z-axis. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_02851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An exact solution describing a scalar counterpart to the Schwarzschild-Melvin Universe Cardoso, Vitor Natário, José General Relativity and Quantum Cosmology 83C15, 83C20, 83C57 The Schwarzschild-Melvin spacetime is an exact solution of the Einstein electrovacuum equations describing a black hole immersed in a magnetic field which is asymptotically aligned with the z-axis. It plays an important role in our understanding of the interplay between geometry and matter, and is often used as a proxy for astrophysical environments. Here, we construct the scalar counterpart to the Schwarzschild-Melvin spacetime: a non-asymptotically flat black hole geometry with an everywhere regular scalar field whose gradient is asymptotically aligned with the z-axis. |
| title | An exact solution describing a scalar counterpart to the Schwarzschild-Melvin Universe |
| topic | General Relativity and Quantum Cosmology 83C15, 83C20, 83C57 |
| url | https://arxiv.org/abs/2410.02851 |