Massive scalar perturbations in Kerr Black Holes: near extremal analysis
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| Format: | Preprint |
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2024
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| _version_ | 1866909442952396800 |
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| author | Cavalcante, João Paulo Richartz, Maurício da Cunha, Bruno Carneiro |
| author_facet | Cavalcante, João Paulo Richartz, Maurício da Cunha, Bruno Carneiro |
| contents | We study quasinormal modes of massive scalar perturbations in Kerr black holes using the isomonodromic method. For arbitrary scalar masses $M μ$ and black hole spins $a/M$, we numerically determine the quasinormal frequencies for various orbital $\ell$, azimuthal $m$, and overtone $n$ numbers. In particular, we derive an analytic expression for frequencies of the zero-damping modes near the extremal limit $a/M \rightarrow 1$. For $\ell=m=1$, we reveal that the fundamental mode becomes a damped mode (rather than a zero-damping mode) if the scalar field is sufficiently heavy. By exploring the parameter space, we find numerical evidence for level-crossing between the longest-living mode and the first overtone at an exceptional point $(Mμ)_c \simeq 0.3704981$ and $(a/M)_c\simeq 0.9994660$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_13964 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Massive scalar perturbations in Kerr Black Holes: near extremal analysis Cavalcante, João Paulo Richartz, Maurício da Cunha, Bruno Carneiro General Relativity and Quantum Cosmology High Energy Physics - Theory We study quasinormal modes of massive scalar perturbations in Kerr black holes using the isomonodromic method. For arbitrary scalar masses $M μ$ and black hole spins $a/M$, we numerically determine the quasinormal frequencies for various orbital $\ell$, azimuthal $m$, and overtone $n$ numbers. In particular, we derive an analytic expression for frequencies of the zero-damping modes near the extremal limit $a/M \rightarrow 1$. For $\ell=m=1$, we reveal that the fundamental mode becomes a damped mode (rather than a zero-damping mode) if the scalar field is sufficiently heavy. By exploring the parameter space, we find numerical evidence for level-crossing between the longest-living mode and the first overtone at an exceptional point $(Mμ)_c \simeq 0.3704981$ and $(a/M)_c\simeq 0.9994660$. |
| title | Massive scalar perturbations in Kerr Black Holes: near extremal analysis |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.13964 |