Resonance of black hole quasinormal modes in coupled systems

Fuente: arXiv
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Main Authors: Takahashi, Takuya, Motohashi, Hayato, Takahashi, Kazufumi
Format: Preprint
Published: 2025
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author Takahashi, Takuya
Motohashi, Hayato
Takahashi, Kazufumi
author_facet Takahashi, Takuya
Motohashi, Hayato
Takahashi, Kazufumi
contents Black hole quasinormal modes (QNMs) can exhibit resonant excitations associated with avoided crossings in their complex frequency spectrum. Such resonance phenomena can serve as novel signatures for probing new physics, where additional degrees of freedom are commonly introduced. Motivated by this possibility, we investigate QNMs in systems where multiple degrees of freedom are coupled with each other, and introduce a definition of excitation factors suitable for such systems. To demonstrate our formulation, we apply it to a black hole in the Einstein-Maxwell-axion theory, where we find that avoided crossings can appear even between longest-lived modes originating from the fundamental modes of different degrees of freedom, in contrast to the Kerr case in General Relativity. We show that the excitation factors are indeed amplified as a manifestation of resonance at parameter values corresponding to the avoided crossings.
format Preprint
id arxiv_https___arxiv_org_abs_2505_03883
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Resonance of black hole quasinormal modes in coupled systems
Takahashi, Takuya
Motohashi, Hayato
Takahashi, Kazufumi
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Black hole quasinormal modes (QNMs) can exhibit resonant excitations associated with avoided crossings in their complex frequency spectrum. Such resonance phenomena can serve as novel signatures for probing new physics, where additional degrees of freedom are commonly introduced. Motivated by this possibility, we investigate QNMs in systems where multiple degrees of freedom are coupled with each other, and introduce a definition of excitation factors suitable for such systems. To demonstrate our formulation, we apply it to a black hole in the Einstein-Maxwell-axion theory, where we find that avoided crossings can appear even between longest-lived modes originating from the fundamental modes of different degrees of freedom, in contrast to the Kerr case in General Relativity. We show that the excitation factors are indeed amplified as a manifestation of resonance at parameter values corresponding to the avoided crossings.
title Resonance of black hole quasinormal modes in coupled systems
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.03883