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Main Authors: Lo, Rico K. L., Yin, Yucheng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.07937
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author Lo, Rico K. L.
Yin, Yucheng
author_facet Lo, Rico K. L.
Yin, Yucheng
contents Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term for near-horizon gravitational perturbations, or equivalently perturbed Weyl scalars $ψ_0$ with a spin weight of $s = +2$, within the generalized Sasaki-Nakamura formalism for the first time. As illustrative applications, we compute the dynamical deformation of the event horizon induced by an ultrarelativistic particle plunge, demonstrating the excitation of quasinormal modes at the horizon, and we evaluate the energy flux towards the horizon from an extreme mass-ratio inspiral. This work provides a powerful tool for studying physics near black hole horizons.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07937
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Near-horizon gravitational perturbations of rotating black holes
Lo, Rico K. L.
Yin, Yucheng
General Relativity and Quantum Cosmology
Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term for near-horizon gravitational perturbations, or equivalently perturbed Weyl scalars $ψ_0$ with a spin weight of $s = +2$, within the generalized Sasaki-Nakamura formalism for the first time. As illustrative applications, we compute the dynamical deformation of the event horizon induced by an ultrarelativistic particle plunge, demonstrating the excitation of quasinormal modes at the horizon, and we evaluate the energy flux towards the horizon from an extreme mass-ratio inspiral. This work provides a powerful tool for studying physics near black hole horizons.
title Near-horizon gravitational perturbations of rotating black holes
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.07937