Black hole no-hair theorem for self-gravitating time-dependent spherically symmetric multiple scalar fields
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929221397381120 |
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| author | Yazadjiev, Stoytcho Doneva, Daniela |
| author_facet | Yazadjiev, Stoytcho Doneva, Daniela |
| contents | We prove under certain weak assumptions a black hole no-hair theorem in spherically symmetric spacetimes for self-gravitating time-dependent multiple scalar fields with an arbitrary target space admitting a Killing field with a non-empty axis and arbitrary non-negative potential invariant under the flow of the Killing field. It is shown that for such configurations the only spherically symmetric and asymptotically flat black hole solutions consist of the Schwarzschild metric and a constant multi-scalar map. In due course of the proof we also unveil the intrinsic connection of the time-dependence of the scalar fields with the symmetries of the target space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13288 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Black hole no-hair theorem for self-gravitating time-dependent spherically symmetric multiple scalar fields Yazadjiev, Stoytcho Doneva, Daniela General Relativity and Quantum Cosmology We prove under certain weak assumptions a black hole no-hair theorem in spherically symmetric spacetimes for self-gravitating time-dependent multiple scalar fields with an arbitrary target space admitting a Killing field with a non-empty axis and arbitrary non-negative potential invariant under the flow of the Killing field. It is shown that for such configurations the only spherically symmetric and asymptotically flat black hole solutions consist of the Schwarzschild metric and a constant multi-scalar map. In due course of the proof we also unveil the intrinsic connection of the time-dependence of the scalar fields with the symmetries of the target space. |
| title | Black hole no-hair theorem for self-gravitating time-dependent spherically symmetric multiple scalar fields |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2401.13288 |