Ergodic Hysteresis of the Kerr black hole spectrum
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916065840201728 |
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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 uncover a cascade of exceptional points (EPs) in the quasinormal mode spectrum of massive scalar perturbations of Kerr black holes, revealing an intricate non-Hermitian structure underlying their linear response. The cascade originates from a single damped mode that enters the extremal spectrum for sufficiently large field masses. We obtain evidence for an infinite sequence of EPs in the $(\ell,m)=(1,1)$ and $(2,2)$ sectors near the extremal limit, mediating the transition between damped and zero-damping modes. Each EP carries a geometric phase that enables adiabatic mode mixing across the entire overtone spectrum, a phenomenon we refer to as adiabatic ergodicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16640 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ergodic Hysteresis of the Kerr black hole spectrum Cavalcante, João Paulo Richartz, Maurício da Cunha, Bruno Carneiro General Relativity and Quantum Cosmology We uncover a cascade of exceptional points (EPs) in the quasinormal mode spectrum of massive scalar perturbations of Kerr black holes, revealing an intricate non-Hermitian structure underlying their linear response. The cascade originates from a single damped mode that enters the extremal spectrum for sufficiently large field masses. We obtain evidence for an infinite sequence of EPs in the $(\ell,m)=(1,1)$ and $(2,2)$ sectors near the extremal limit, mediating the transition between damped and zero-damping modes. Each EP carries a geometric phase that enables adiabatic mode mixing across the entire overtone spectrum, a phenomenon we refer to as adiabatic ergodicity. |
| title | Ergodic Hysteresis of the Kerr black hole spectrum |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.16640 |