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Main Authors: Husken, Stef J. B., van der Steen, Tom, Maenaut, Simon, Lam, Kelvin Ka-Ho, Jockwer, Maxim D., Chung, Adrian Ka-Wai, Hertog, Thomas, Li, Tjonnie G. F., Yunes, Nicolás
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.02214
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author Husken, Stef J. B.
van der Steen, Tom
Maenaut, Simon
Lam, Kelvin Ka-Ho
Jockwer, Maxim D.
Chung, Adrian Ka-Wai
Hertog, Thomas
Li, Tjonnie G. F.
Yunes, Nicolás
author_facet Husken, Stef J. B.
van der Steen, Tom
Maenaut, Simon
Lam, Kelvin Ka-Ho
Jockwer, Maxim D.
Chung, Adrian Ka-Wai
Hertog, Thomas
Li, Tjonnie G. F.
Yunes, Nicolás
contents In an effective-field-theory framework for gravity, black-hole quasinormal mode spectra acquire corrections in quadratic-curvature, scalar-tensor extensions of general relativity. Previous calculations of such corrections were limited to moderate spins, since the corresponding background solutions relied on expansions in the spin parameter. Using recently constructed numerical black-hole solutions valid for large spin, we compute the leading-order deviations from general relativity in the scalar quasinormal mode spectrum of rotating black holes in scalar Gauss-Bonnet and dynamical Chern-Simons gravity. We solve the resulting perturbation equations with pseudo-spectral collocation methods, allowing us to determine the quasinormal-mode corrections for dimensionless spins up to $a/M=0.99$, with accuracy better than $\lesssim 10^{-3}$ for the $l=m=0$ mode and $\lesssim 10^{-6}$ for higher multipoles. For spins $a/M>0.9$, the corrections to certain modes can increase by orders of magnitude.
format Preprint
id arxiv_https___arxiv_org_abs_2604_02214
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quadratic gravity corrections to scalar QNMs of rapidly rotating black holes
Husken, Stef J. B.
van der Steen, Tom
Maenaut, Simon
Lam, Kelvin Ka-Ho
Jockwer, Maxim D.
Chung, Adrian Ka-Wai
Hertog, Thomas
Li, Tjonnie G. F.
Yunes, Nicolás
General Relativity and Quantum Cosmology
In an effective-field-theory framework for gravity, black-hole quasinormal mode spectra acquire corrections in quadratic-curvature, scalar-tensor extensions of general relativity. Previous calculations of such corrections were limited to moderate spins, since the corresponding background solutions relied on expansions in the spin parameter. Using recently constructed numerical black-hole solutions valid for large spin, we compute the leading-order deviations from general relativity in the scalar quasinormal mode spectrum of rotating black holes in scalar Gauss-Bonnet and dynamical Chern-Simons gravity. We solve the resulting perturbation equations with pseudo-spectral collocation methods, allowing us to determine the quasinormal-mode corrections for dimensionless spins up to $a/M=0.99$, with accuracy better than $\lesssim 10^{-3}$ for the $l=m=0$ mode and $\lesssim 10^{-6}$ for higher multipoles. For spins $a/M>0.9$, the corrections to certain modes can increase by orders of magnitude.
title Quadratic gravity corrections to scalar QNMs of rapidly rotating black holes
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.02214