Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913749109047296 |
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| author | Ficek, Filip Maliborski, Maciej |
| author_facet | Ficek, Filip Maliborski, Maciej |
| contents | The conformally invariant scalar equation permits the Robin boundary condition at infinity of asymptotically-AdS spacetimes. We show how the dynamics of conformal cubic scalar field on the Reissner-Nordström-anti-de Sitter background depend on the black hole size, charge, and choice of the boundary condition. We study the whole range of admissible charges, including the extremal case. In particular, we observe the transition in stability of the field for large black holes at the specific critical value of the charge. Similarities between Reissner-Nordström and Kerr black hole let us suspect that a similar effect may also occur in rotating black holes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09447 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background Ficek, Filip Maliborski, Maciej General Relativity and Quantum Cosmology High Energy Physics - Theory Analysis of PDEs The conformally invariant scalar equation permits the Robin boundary condition at infinity of asymptotically-AdS spacetimes. We show how the dynamics of conformal cubic scalar field on the Reissner-Nordström-anti-de Sitter background depend on the black hole size, charge, and choice of the boundary condition. We study the whole range of admissible charges, including the extremal case. In particular, we observe the transition in stability of the field for large black holes at the specific critical value of the charge. Similarities between Reissner-Nordström and Kerr black hole let us suspect that a similar effect may also occur in rotating black holes. |
| title | Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Analysis of PDEs |
| url | https://arxiv.org/abs/2411.09447 |