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Autores principales: Ylla, Ariadna Uxue Palomino, Makino, Kosuke, Tanaka, Akane, Ishibashi, Akihiro, Yoo, Chul-Moon
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2603.15979
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author Ylla, Ariadna Uxue Palomino
Makino, Kosuke
Tanaka, Akane
Ishibashi, Akihiro
Yoo, Chul-Moon
author_facet Ylla, Ariadna Uxue Palomino
Makino, Kosuke
Tanaka, Akane
Ishibashi, Akihiro
Yoo, Chul-Moon
contents We study how quasinormal-mode frequencies may encode information about the effective matter source responsible for black-hole hair. Using the established eikonal correspondence between quasinormal modes and unstable null geodesics, we relate shifts in the ringdown spectrum to perturbations of the photon-orbit frequency and Lyapunov exponent. The black hole hair is treated as an anisotropic fluid perturbatively added to the vacuum black holes (Schwarzschild and Kerr black holes). In particular, we derive formulas which allow one to directly read off deviations from the Schwarzschild or Kerr QNM spectrum in terms of the corresponding equation-of-state parameters of the anisotropic fluid. Under this setting, independent of energy conditions, our formulas offer a systematic method to compute quasi-normal mode frequencies for a broad class of hairy black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2603_15979
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ringdown waves from hairy black holes
Ylla, Ariadna Uxue Palomino
Makino, Kosuke
Tanaka, Akane
Ishibashi, Akihiro
Yoo, Chul-Moon
General Relativity and Quantum Cosmology
We study how quasinormal-mode frequencies may encode information about the effective matter source responsible for black-hole hair. Using the established eikonal correspondence between quasinormal modes and unstable null geodesics, we relate shifts in the ringdown spectrum to perturbations of the photon-orbit frequency and Lyapunov exponent. The black hole hair is treated as an anisotropic fluid perturbatively added to the vacuum black holes (Schwarzschild and Kerr black holes). In particular, we derive formulas which allow one to directly read off deviations from the Schwarzschild or Kerr QNM spectrum in terms of the corresponding equation-of-state parameters of the anisotropic fluid. Under this setting, independent of energy conditions, our formulas offer a systematic method to compute quasi-normal mode frequencies for a broad class of hairy black holes.
title Ringdown waves from hairy black holes
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2603.15979