Detectability of avoided crossings in black hole ringdowns
Abstract
Quasinormal modes (QNMs) of black holes can exhibit avoided crossings (ACs), in which specific QNM frequencies approach each other while their amplitudes are enhanced and acquire nearly opposite phases, leading to characteristic interference. Resolving such closely spaced modes through black hole spectroscopy is observationally challenging. In this paper, we investigate the detectability of nearly degenerate QNMs in the presence of an AC within a Bayesian framework using three waveform models. We examine how the inference of the complex frequencies and amplitudes depends on the separation between the two QNM frequencies and on the choice of template waveform. We find that resolving the individual QNM frequencies is difficult even under optimistic conditions. On the other hand, collective waveform signatures associated with ACs may still be identified through complementary waveform descriptions, provided that the AC-related modes dominate the observed ringdown signal and contamination from more slowly damped modes is negligible or can be removed.
Versions
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BibTeX
@misc{imafuku2026detectability,
title = {{Detectability of avoided crossings in black hole ringdowns}},
author = {Hayato Imafuku and Naritaka Oshita and Hiroki Takeda},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.16199},
eprint = {2605.16199},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.16199},
}
RIS
TY - UNPB
TI - Detectability of avoided crossings in black hole ringdowns
AU - Hayato Imafuku
AU - Naritaka Oshita
AU - Hiroki Takeda
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2605.16199
UR - https://arxiv.org/abs/2605.16199
AB - Quasinormal modes (QNMs) of black holes can exhibit avoided crossings (ACs), in which specific QNM frequencies approach each other while their amplitudes are enhanced and acquire nearly opposite phases, leading to characteristic interference. Resolving such closely spaced modes through black hole spectroscopy is observationally challenging. In this paper, we investigate the detectability of nearly degenerate QNMs in the presence of an AC within a Bayesian framework using three waveform models. We examine how the inference of the complex frequencies and amplitudes depends on the separation between the two QNM frequencies and on the choice of template waveform. We find that resolving the individual QNM frequencies is difficult even under optimistic conditions. On the other hand, collective waveform signatures associated with ACs may still be identified through complementary waveform descriptions, provided that the AC-related modes dominate the observed ringdown signal and contamination from more slowly damped modes is negligible or can be removed.
ER -