Exceptional Points and Resonance in Black Hole Ringdown
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arXiv
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| Format: | Preprint |
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2025
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| author | Macedo, Rodrigo Panosso Katagiri, Takuya Kubota, Kei-ichiro Motohashi, Hayato |
| author_facet | Macedo, Rodrigo Panosso Katagiri, Takuya Kubota, Kei-ichiro Motohashi, Hayato |
| contents | We propose an exceptional-point (EP) framework for black-hole ringdown beyond the standard quasinormal-mode (QNM) paradigm. It provides a first-principles characterization of the resonance associated with avoided crossings near EPs, an effect that conventional QNM analysis cannot fully capture. Employing a phenomenological environmental black-hole model with the hyperboloidal framework, we identify near-coalescence of both QNM eigenvalues and eigenfunctions, and directly demonstrate that the resonance produces enhanced mode contributions in the time domain, resulting in characteristic departures from exponentially damped oscillations. Our formulation further reveals that the EP frequency, given by the average of the resonant modes, emerges as the physically relevant observable in the near-EP regime, and offers a robust foundation for modeling and extracting resonant ringdown signals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02110 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exceptional Points and Resonance in Black Hole Ringdown Macedo, Rodrigo Panosso Katagiri, Takuya Kubota, Kei-ichiro Motohashi, Hayato General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We propose an exceptional-point (EP) framework for black-hole ringdown beyond the standard quasinormal-mode (QNM) paradigm. It provides a first-principles characterization of the resonance associated with avoided crossings near EPs, an effect that conventional QNM analysis cannot fully capture. Employing a phenomenological environmental black-hole model with the hyperboloidal framework, we identify near-coalescence of both QNM eigenvalues and eigenfunctions, and directly demonstrate that the resonance produces enhanced mode contributions in the time domain, resulting in characteristic departures from exponentially damped oscillations. Our formulation further reveals that the EP frequency, given by the average of the resonant modes, emerges as the physically relevant observable in the near-EP regime, and offers a robust foundation for modeling and extracting resonant ringdown signals. |
| title | Exceptional Points and Resonance in Black Hole Ringdown |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.02110 |