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We discuss a method of calculating analytically the asymptotic form of quasi-normal frequencies for large AdS black holes in five dimensions. In this case, the wave equation reduces to a Heun equation. We show that the Heun equation may be…

High Energy Physics - Theory · Physics 2015-06-26 Suphot Musiri , George Siopsis

Quasinormal modes (QNMs) are usually characterized by their time dependence; oscillations at specific frequencies predicted by black hole (BH) perturbation theory. QNMs are routinely identified in the ringdown of numerical relativity…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Richard Dyer , Christopher J. Moore

We present a concise review of known analytic results for quasinormal modes of black holes and related spacetimes. Our emphasis is on those regimes where the perturbation equations admit exact or perturbative solutions, providing insights…

General Relativity and Quantum Cosmology · Physics 2025-04-08 S. V. Bolokhov , Milena Skvortsova

We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically anti-de Sitter black holes, with very general boundary conditions at infinity. We argue that for a time slicing regular at the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Claude M. Warnick

The near-horizon geometry of a large class of extremal and near-extremal black holes in string and M theory contains three-dimensional asymptotically anti-de Sitter space. Motivated by this structure, we are led naturally to a discrete set…

High Energy Physics - Theory · Physics 2010-04-28 Danny Birmingham , S. Carlip

Quasinormal modes and grey-body factors are spectral characteristics corresponding to different boundary conditions: the former imply purely outgoing waves to the event horizon and infinity, while the latter allow for an incoming wave from…

General Relativity and Quantum Cosmology · Physics 2024-10-22 R. A. Konoplya , A. Zhidenko

The recently reported compactified hyperboloidal method has found wide use in the numerical computation of quasinormal modes, with implications for fields as diverse as gravitational physics and optics. We extend this intrinsically…

Computational Physics · Physics 2024-09-05 Christopher Burgess , Friedrich Koenig

It is expected that all astrophysical black holes in equilibrium are well described by the Kerr solution. Moreover, any black hole far away from equilibrium, such as one initially formed in a compact binary merger or by the collapse of a…

General Relativity and Quantum Cosmology · Physics 2022-01-14 Pierre Mourier , Xisco Jiménez Forteza , Daniel Pook-Kolb , Badri Krishnan , Erik Schnetter

Quasinormal modes are excited during the ringdown phase of black holes after merger. Determination of quasinormal modes of rapidly rotating black holes in alternative theories of gravity has remained a challenge for a long time. Here we…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

We show that the linear perturbations of any spin field in the near-zone limit of the Kerr black hole are identical to those of an AdS$_2$ black hole which enjoys the same basic properties of the Kerr black hole. Thanks to this…

High Energy Physics - Theory · Physics 2023-02-01 Alex Kehagias , Davide Perrone , Antonio Riotto

We study quasinormal modes related to gravitational and electromagnetic perturbations of spherically symmetric charged black holes in nonlinear electrodynamics. Beyond the linear Maxwell electrodynamics, we consider a class of Lagrangian…

General Relativity and Quantum Cosmology · Physics 2022-02-07 Kimihiro Nomura , Daisuke Yoshida

Gravitational waves provide direct information about the nature of spacetime and the existence of black holes. The remnant of a binary black hole merger emits gravitational waves in the form of quasinormal modes, whose spectrum is known as…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Iara Ota

We study the null geodesics extending from the near-horizon region out to the far region in the background of the Schwarzschild and the singly-spinning Myers-Perry black holes in the large dimension limit. We find that in this limit the…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Minyong Guo , Peng-Cheng Li , Bin Chen

We consider the stability of six-dimensional singly rotating Myers-Perry black holes under massive scalar perturbations. Using Leaver's continued fraction method, we compute the quasinormal modes of the massive scalar fields. All modes…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Kai-Peng Lu , Wenbin Li , Jia-Hui Huang

In this work, we use a parametrized theory-agnostic approach that connects the observation of black hole quasi-normal modes with the underlying perturbation equations, with the goal of reconstructing the potential and the coupling functions…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Sebastian H. Völkel , Nicola Franchini , Enrico Barausse

We investigate the quasinormal modes of a class of static and spherically symmetric black holes with the derivative coupling. The derivative coupling has rarely been paid attention to the study of black hole quasinormal modes. Specifically,…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Shuang Yu , Changjun Gao

We first show that the master equations for massless perturbations of accelerating rotating black holes can be transformed into the Heun's equation. The quasinormal modes of the black holes can be easily calculated in the framework of the…

General Relativity and Quantum Cosmology · Physics 2024-04-24 Tan Chen , Rong-Gen Cai , Bin Hu

We determine the quasinormal frequencies for all gravitational perturbations of the d-dimensional Schwarzschild black hole, in the infinite damping limit. Using the potentials for gravitational perturbations derived recently by Ishibashi…

High Energy Physics - Theory · Physics 2009-11-10 Danny Birmingham

Recent detections of gravitational waves have made black hole quasinormal modes a powerful tool in testing predictions of general relativity. Understanding the spectrum of these quasinormal modes in a broad class of theories beyond general…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Colin Weller , Dongjun Li , Yanbei Chen

We show that in the limit where the number of spacetime dimensions D grows to infinity a very large class of black holes (including non-extremal, static, asymptotically flat ones, with any number of gauge-field charges, possibly coupled to…

High Energy Physics - Theory · Physics 2014-03-19 Roberto Emparan , Kentaro Tanabe