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Auteurs principaux: van der Steen, Tom, Maenaut, Simon, Husken, Stef J. B., Fernandes, Pedro G. S., Jockwer, Maxim D., Cardoso, Vitor, Hertog, Thomas, Li, Tjonnie G. F.
Format: Preprint
Publié: 2026
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Accès en ligne:https://arxiv.org/abs/2604.11755
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author van der Steen, Tom
Maenaut, Simon
Husken, Stef J. B.
Fernandes, Pedro G. S.
Jockwer, Maxim D.
Cardoso, Vitor
Hertog, Thomas
Li, Tjonnie G. F.
author_facet van der Steen, Tom
Maenaut, Simon
Husken, Stef J. B.
Fernandes, Pedro G. S.
Jockwer, Maxim D.
Cardoso, Vitor
Hertog, Thomas
Li, Tjonnie G. F.
contents Within the effective field theory approach to gravity, deviations from general relativity can be systematically described by higher-curvature operators. However, computing the resulting corrections to black hole quasinormal mode spectra remains challenging in the rapidly rotating regime, where perturbative expansions in the spin break down. We use recently constructed numerical rotating black hole solutions to compute quasinormal mode frequency corrections at leading order in the effective field theory. Focusing on scalar perturbations, we evaluate cubic-curvature corrections, which constitute the leading modifications. We employ a pseudo-spectral collocation method to solve the resulting perturbation equations on these backgrounds, enabling accurate computation across a broad parameter range. We obtain frequency corrections for fundamental modes with $l\le5$ for all $m$, and the first overtone of $2 \le l \le 5$ modes for all $m$ for spins up to $a=0.99M$, with relative errors below $10^{-4}$. We observe that corrections to certain modes grow significantly as the spin approaches the near-extremal regime.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11755
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ringing of rapidly rotating black holes in effective field theory
van der Steen, Tom
Maenaut, Simon
Husken, Stef J. B.
Fernandes, Pedro G. S.
Jockwer, Maxim D.
Cardoso, Vitor
Hertog, Thomas
Li, Tjonnie G. F.
General Relativity and Quantum Cosmology
Within the effective field theory approach to gravity, deviations from general relativity can be systematically described by higher-curvature operators. However, computing the resulting corrections to black hole quasinormal mode spectra remains challenging in the rapidly rotating regime, where perturbative expansions in the spin break down. We use recently constructed numerical rotating black hole solutions to compute quasinormal mode frequency corrections at leading order in the effective field theory. Focusing on scalar perturbations, we evaluate cubic-curvature corrections, which constitute the leading modifications. We employ a pseudo-spectral collocation method to solve the resulting perturbation equations on these backgrounds, enabling accurate computation across a broad parameter range. We obtain frequency corrections for fundamental modes with $l\le5$ for all $m$, and the first overtone of $2 \le l \le 5$ modes for all $m$ for spins up to $a=0.99M$, with relative errors below $10^{-4}$. We observe that corrections to certain modes grow significantly as the spin approaches the near-extremal regime.
title Ringing of rapidly rotating black holes in effective field theory
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.11755