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We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Sharmanthie Fernando , P. A. González , Yerko Vásquez

We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole…

Analysis of PDEs · Mathematics 2011-07-21 Semyon Dyatlov

Quasinormal ringing of acoustic black holes in Laval nozzles is discussed. The equation for sounds in a transonic flow is written into a Schr\"{o}dinger-type equation with a potential barrier, and the quasinormal frequencies are calculated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Satoshi Okuzumi , Masa-aki Sakagami

Motivated by several pieces of evidence, in order to show that extreme black holes cannot be obtained as limits of non-extremal black holes, in this article we calculate explicitly quasinormal modes for Ba\~{n}ados, Teitelboim and Zanelli…

High Energy Physics - Theory · Physics 2016-08-16 Juan Crisóstomo , Samuel Lepe , Joel Saavedra

We present a comprehensive analysis of the quasinormal modes (QNMs) of a massive scalar field in Schwarzschild spacetime using two complementary numerical techniques: the Hill-determinant method and Leaver continued-fraction method. Our…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Matheus F. S. Alves , Bruno P. Pônquio , L. G. Medeiros

We have extended the semianalytic technique of Iyer and Will for computing the complex quasinormal frequencies of black holes, $\omega,$ by constructing the Pad\'e approximants of the (formal) series for $\omega^{2}$. It is shown that for…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Jerzy Matyjasek , Michał Opala

Using series solutions and time-domain evolutions, we probe the eikonal limit of the gravitational and scalar-field quasinormal modes of large black holes and black branes in anti-de Sitter backgrounds. These results are particularly…

High Energy Physics - Theory · Physics 2009-09-02 Jaqueline Morgan , Vitor Cardoso , Alex S. Miranda , C. Molina , Vilson T. Zanchin

The quasinormal modes of massless scalar field in rotating Bardeen and Hayward regular black holes are studied. The fundamental quasinormal modes and $n=1$ first overtone quasinormal modes are calculated with two numerical methods, i.e. WKB…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Yating Peng , Jia-Hui Huang

Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-05-26 Alexander Zhidenko

The ringdown of a perturbed black hole (BH) can be described as a superposition of quasinormal modes (QNMs), whose frequencies are determined by the spacetime geometry while their amplitudes depend also on the perturbing source. However,…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Alejandro Svyatkovskyy Kholyavka , Jose Antonio León Vega , Samuel Gómez Gómez , Xisco Jiménez Forteza , Sayak Datta

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

According to a recent proposal, the so-called Barbero-Immirzi parameter of Loop Quantum Gravity can be fixed, using Bohr's correspondence principle, from a knowledge of highly-damped black hole oscillation frequencies. Such frequencies are…

High Energy Physics - Theory · Physics 2009-11-10 Emanuele Berti , Kostas D. Kokkotas

In this work, we construct a perturbative black hole (BH) solution motivated by renormalization group (RG) improvement and investigate the quasinormal modes (QNMs) of the BH under scalar field perturbations in both Schwarzschild-de Sitter…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Rupam Jyoti Borah , Umananda Dev Goswami

Studies of quasinormal modes (QNMs) of black holes have a long and well established history. Predominantly, much research in this area has customarily focused on the equations given by Regge, Wheeler and Zerilli. In this work we study…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Bishop Mongwane , Sipho Nkele , Didam G. A. Duniya , Nigel T. Bishop

Quasinormal modes of black holes were previously calculated in a non-linear electrodynamics and in the Gauss-Bonnet gravity theory. Here we take into consideration both of the above factors and find quasinormal modes of a (massive) scalar…

General Relativity and Quantum Cosmology · Physics 2020-05-04 M. S. Churilova , Z. Stuchlik

The ringdown phase of gravitational waves emitted by a perturbed black hole is described by a superposition of exponentially decaying sinusoidal modes, called quasinormal modes (QNMs), whose frequencies depend only on the property of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Che-Yu Chen , Petr Kotlařík

In this paper, we investigate the quasinormal mode (QNM) spectra for scalar perturbation over a quantum-corrected black hole (BH). The fundamental modes of this quantum-corrected BH exhibit two key properties. Firstly, there is a…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Huajie Gong , Shulan Li , Dan Zhang , Guoyang Fu , Jian-Pin Wu

The dynamics of a nearly-AdS2 spacetime with boundaries is reduced to two particles in the anti-de Sitter space. We determine the class of physically meaningful wavefunctions, and prescribe the statistical mechanics of a black hole. We…

High Energy Physics - Theory · Physics 2019-06-26 Alexei Kitaev , S. Josephine Suh

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

The ringdown signal following a black hole (BH) merger can be modeled as a superposition of BH quasinormal modes (QNMs), offering a clean setup for testing gravitational theories. In particular, detecting multiple QNMs enables consistency…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Soichiro Morisaki , Hayato Motohashi , Motoki Suzuki , Daiki Watarai