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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2411.09980 |
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| _version_ | 1866917941994323968 |
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| author | Chu, Xiang-hao Chu, Yi-qing Bao, Shou-shan Zhang, Hong |
| author_facet | Chu, Xiang-hao Chu, Yi-qing Bao, Shou-shan Zhang, Hong |
| contents | The small Kerr-anti-de Sitter black hole demonstrates instability due to the superradiance of either a massive or massless scalar field. Previous leading-order approximations of the spectrum are inefficient. In particular, the leading-order real part of the eigenfrequency is insensitive to the spin of the black hole. In this work, we improve the analysis by including the next-to-leading-order contribution. Compared to the numerical calculation, the new spin-dependent real part presents significantly better agreement, and the error in the imaginary part is also reduced to less than 60% for most black hole spins. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09980 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Next-to-leading order corrections to scalar perturbations of Kerr-anti-de Sitter black holes Chu, Xiang-hao Chu, Yi-qing Bao, Shou-shan Zhang, Hong General Relativity and Quantum Cosmology The small Kerr-anti-de Sitter black hole demonstrates instability due to the superradiance of either a massive or massless scalar field. Previous leading-order approximations of the spectrum are inefficient. In particular, the leading-order real part of the eigenfrequency is insensitive to the spin of the black hole. In this work, we improve the analysis by including the next-to-leading-order contribution. Compared to the numerical calculation, the new spin-dependent real part presents significantly better agreement, and the error in the imaginary part is also reduced to less than 60% for most black hole spins. |
| title | Next-to-leading order corrections to scalar perturbations of Kerr-anti-de Sitter black holes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.09980 |