Exceptional point and hysteresis in perturbations of Kerr black holes
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916544140804096 |
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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 employ the isomonodromic method to study linear scalar massive perturbations of Kerr black holes for generic scalar masses $Mμ$ and generic black hole spins $a/M$. We find that the longest-living quasinormal mode and the first overtone coincide for $(Mμ)_c \simeq 0.3704981$ and $(a/M)_c\simeq 0.9994660$. We also show that the longest-living mode and the first overtone change continuously into each other as we vary the parameters around the point of degeneracy, providing evidence for the existence of a geometric phase around an exceptional point. We interpret our findings through a thermodynamic analogy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20850 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exceptional point and hysteresis in perturbations of Kerr black holes Cavalcante, João Paulo Richartz, Maurício da Cunha, Bruno Carneiro General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We employ the isomonodromic method to study linear scalar massive perturbations of Kerr black holes for generic scalar masses $Mμ$ and generic black hole spins $a/M$. We find that the longest-living quasinormal mode and the first overtone coincide for $(Mμ)_c \simeq 0.3704981$ and $(a/M)_c\simeq 0.9994660$. We also show that the longest-living mode and the first overtone change continuously into each other as we vary the parameters around the point of degeneracy, providing evidence for the existence of a geometric phase around an exceptional point. We interpret our findings through a thermodynamic analogy. |
| title | Exceptional point and hysteresis in perturbations of Kerr black holes |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.20850 |