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The eikonal limit of black hole quasinormal modes (the large multipole limit $\ell \gg 1$) can be realized geometrically as a next-to-leading order solution to the geometric optics approximation, and also as linear fluctuations about the…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Bruno Bucciotti , Vitor Cardoso , Adrien Kuntz , David Pereñiguez , Jaime Redondo-Yuste

We compute the fundamental and overtone quasinormal modes of a regular, asymptotically flat black hole supported by a Dehnen-type matter halo. Gravitational perturbations in this background split into two distinct axial sectors, and our…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Erdinç Ulaş Saka

We study the quasinormal modes (QNM) for scalar, and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth--order WKB approximation and the improved asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-06-17 L. A. López , Omar Pedraza , Roberto Arceo , V. Ceron

We revisit the computation of quasinormal modes (QNMs) of the Kerr black hole using a numerical approach exploiting a representation of the Teukolsky equation as a $2D$ elliptic partial differential equation. By combining the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Jamil Assaad , Rodrigo Panosso Macedo

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…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Ariadna Uxue Palomino Ylla , Kosuke Makino , Akane Tanaka , Akihiro Ishibashi , Chul-Moon Yoo

Black hole spectroscopy with gravitational waves is an important tool to measure the mass and spin of astrophysical black holes and to test their Kerr nature. Next-generation ground- and space-based detectors will observe binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Emanuele Berti , Vitor Cardoso , Mark Ho-Yeuk Cheung , Francesco Di Filippo , Francisco Duque , Paul Martens , Shinji Mukohyama

Since the Bekenstein's proposal that a black hole has equally spaced area spectrum, the quasinormal modes as the characteristic modes of a black hole have been used in obtaining the horizon area spectrum of the black hole. However, the area…

High Energy Physics - Theory · Physics 2010-06-25 Yongjoon Kwon , Soonkeon Nam

We extend the restricted phase space formalism for spherically symmetric black hole solutions of Einstein-Maxwell theory to the quasi-local regime, with the static observers located at a finite radial distance. The first law and Euler…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Bai-Hao Huang , Liu Zhao

Recent work has shown that the quasinormal mode spectrum of black holes is unstable under small perturbations (of order $\epsilon$) of the radial potential, while the early time-domain ringdown waveform is only marginally affected. In this…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yiqiu Yang , Zhan-Feng Mai , Run-Qiu Yang , Lijing Shao , Emanuele Berti

In this paper we investigate how a regular scale-dependent black hole, characterized by a single extra parameter $\epsilon$, behaves under perturbations by a test field (quasi-normal modes) and under light imaging (shadows) in a…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Benjamin Koch , Gonzalo J. Olmo , Ali Riahinia , Ángel Rincón , Diego Rubiera-Garcia

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Wei Xiong , Peng-Cheng Li

The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Zhongyang Zhang , Emanuele Berti , Vitor Cardoso

While black hole perturbation theory predicts a rich quasi-normal mode structure, technical challenges have limited the numerical study of excitations to the fundamental, lowest order modes caused by the coalescence of black holes. Here, we…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Lionel London , James Healy , Deirdre Shoemaker

We use Penrose limits to approximate quasinormal modes with large real frequencies. The Penrose limit associates a plane wave to a region of spacetime near a null geodesic. This plane wave can be argued to geometrically realize the…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Kwinten Fransen

The traditional approach to perturbations of nonrotating black holes in General Relativity uses the reformulation of the equations of motion into a radial second-order Schr\"odinger-like equation, whose asymptotic solutions are elementary.…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-normal modes and its capabilities to test general relativity in the 21st century. After motivating this line of research, we provide a…

General Relativity and Quantum Cosmology · Physics 2023-05-04 Nicola Franchini , Sebastian H. Völkel

Black hole `spectroscopy', i.e. the identification of quasinormal mode frequencies via gravitational wave observations, is a powerful technique for testing the general relativistic nature of black holes. In theories of gravity beyond…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Hector O. Silva , Kostas Glampedakis

Using the Frobenius method, we find high overtones of the Dirac quasinormal spectrum for the Schwarzschild black hole. At high overtones, the spacing for imaginary part of $\omega_{n}$ is equidistant and equals to…

High Energy Physics - Theory · Physics 2009-11-10 K. H. C. Castello-Branco , R. A. Konoplya , A. Zhidenko

The neutrino quasinormal modes of the Reissner-Nordstr\"om (RN) black hole are investigated using continued fraction approach. We find, for large angular quantum number, that the quasinormal frequencies become evenly spaced and the spacing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jiliang Jing

Grey-body factors and quasinormal modes are two distinct characteristics of radiation near black holes, each associated with different boundary conditions. Nevertheless, a correspondence exists between them, which we use to calculate the…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Milena Skvortsova