Gravitational quasinormal modes of the Hayward spacetime

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Auteurs principaux: Bolokhov, S. V., Skvortsova, Milena
Format: Preprint
Publié: 2025
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author Bolokhov, S. V.
Skvortsova, Milena
author_facet Bolokhov, S. V.
Skvortsova, Milena
contents We study gravitational quasinormal modes of the Hayward spacetime, a regular black-hole geometry that also admits an interpretation as an effective quantum-corrected solution within asymptotically safe gravity. Using both the higher-order WKB method supplemented with Pade approximants and time-domain integration with Prony analysis, we obtain accurate spectra for axial perturbations and explore the impact of the quantum parameter $γ$. We find that increasing $γ$ systematically raises the oscillation frequencies while reducing the damping rates, making the ringdown longer lived. For the first overtone, the effect of $γ$ is noticeably stronger than for the fundamental mode, providing an indication of the so-called outburst of overtones previously observed for test fields, and pointing to the particular sensitivity of subdominant modes to near-horizon quantum corrections. In addition, the analytic approximation for quasinormal modes are obtained in the form of expansion beyond the eikonal limit.
format Preprint
id arxiv_https___arxiv_org_abs_2508_19989
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational quasinormal modes of the Hayward spacetime
Bolokhov, S. V.
Skvortsova, Milena
General Relativity and Quantum Cosmology
We study gravitational quasinormal modes of the Hayward spacetime, a regular black-hole geometry that also admits an interpretation as an effective quantum-corrected solution within asymptotically safe gravity. Using both the higher-order WKB method supplemented with Pade approximants and time-domain integration with Prony analysis, we obtain accurate spectra for axial perturbations and explore the impact of the quantum parameter $γ$. We find that increasing $γ$ systematically raises the oscillation frequencies while reducing the damping rates, making the ringdown longer lived. For the first overtone, the effect of $γ$ is noticeably stronger than for the fundamental mode, providing an indication of the so-called outburst of overtones previously observed for test fields, and pointing to the particular sensitivity of subdominant modes to near-horizon quantum corrections. In addition, the analytic approximation for quasinormal modes are obtained in the form of expansion beyond the eikonal limit.
title Gravitational quasinormal modes of the Hayward spacetime
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.19989