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For a two-dimensional black hole we determine the quasinormal frequencies of the Klein-Gordon and Dirac fields. In contrast to the well known examples whose spectrum of quasinormal frequencies is discrete, for this black hole we find a…

General Relativity and Quantum Cosmology · Physics 2014-07-04 S. Estrada-Jimenez , J. R. Gomez-Diaz , A. Lopez-Ortega

We often encounter a situation that black hole solutions can be regarded as continuous deformations of simpler ones, or modify general relativity by continuous parameters. We develop a general framework to compute high-order perturbative…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Yasuyuki Hatsuda , Masashi Kimura

We compute the high frequency quasi-normal modes (QNM) for scalar perturbations of spherically symmetric single horizon black-holes in $(D+2)$-space-time dimensions with generic curvature singularities and having metrics of the form $ds^2 =…

High Energy Physics - Theory · Physics 2010-11-23 Saurya Das , S. Shankaranarayanan

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black hole, which is deformed due to noncommutative corrections. We introduce the deformed Schwarzschild black hole solution, which depends on the…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Y. Zhao , Yifu Cai , S. Das , G. Lambiase , E. N. Saridakis , E. C. Vagenas

Quasinormal modes provide valuable information about the structure of spacetime outside a black hole. There is also a conjectured relationship between the highly damped quasinormal modes and the semi-classical spectrum of the horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-28 James Babb , Ramin G. Daghigh , Gabor Kunstatter

We study black-hole quasinormal modes by applying the complex scaling method (CSM) to the perturbation equations of Schwarzschild and Reissner--Nordstr\"om black holes. The method converts the outgoing-wave boundary condition into a…

High Energy Physics - Theory · Physics 2026-04-28 Shoya Ogawa , Takuya Hirose , Okuto Morikawa

The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild-anti-de Sitter (SAdS) black hole is investigated by using Horowitz-Hubeny approach. We find that both the real and the imaginary parts…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiliang Jing

After black holes collide, the remnant settles to a stationary state by emitting gravitational waves. Once non-linearities subside, these ringdown waves are dominated by exponentially-damped sinusoids, or quasinormal modes. We develop a…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Adrian Ka-Wai Chung , Nicolas Yunes

We study quasinormal modes (QNMs) in 5D electrically charged Bardeen black holes spacetime by considering the scalar and electromagnetic field perturbations. The black holes spacetime is an exact solution of Einstein gravity coupled to…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Kimet Jusufi , Muhammed Amir , Md Sabir Ali , Sunil D. Maharaj

We study the axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity. Considering the axial perturbation of the background spacetime, we obtain the Schr\"{o}dinger-like master equation. Then we calculate the…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Sen Yang , Wen-Di Guo , Qin Tan , Yu-Xiao Liu

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

It has long been known that null unstable geodesics are related to the characteristic modes of black holes-- the so called quasinormal resonances. The basic idea is to interpret the free oscillations of a black hole in the eikonal limit in…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Shahar Hod

We study the scattering of gravitational waves by a Schwarzschild black hole and its perturbed siblings to investigate influences of proposed spectral instability of quasinormal modes on the ringdown signal. Our results indicate that…

General Relativity and Quantum Cosmology · Physics 2023-02-09 Koutarou Kyutoku , Hayato Motohashi , Takahiro Tanaka

We study the quasinormal modes (QNMs) of charged scalar in the static spherically symmetric black hole background near the event and cosmological horizon. Starting with numerical analysis of the QNMs of black hole in the dRGT massive…

High Energy Physics - Theory · Physics 2019-04-10 Takol Tangphati , Supakchai Ponglertsakul , Piyabut Burikham

The most general stationary black-hole solution of Einstein-Maxwell theory in vacuum is the Kerr-Newman metric, specified by three parameters: mass M, spin J and charge Q. Within classical general relativity, the most important and…

General Relativity and Quantum Cosmology · Physics 2013-06-19 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

We study the perturbations to General Relativistic black holes (i.e. those without scalar hair) in Horndeski scalar-tensor gravity. First, we derive the equations of odd and even parity perturbations of both the metric and scalar field in…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Oliver J. Tattersall , Pedro G. Ferreira

We discuss the quasi-normal oscillations of black holes which are sourced by a nonlinear electrodynamic field. While previous studies have focused on the computation of quasi-normal frequencies for the wave or higher spin equation on a…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Eliana Chaverra , Juan Carlos Degollado , Claudia Moreno , Olivier Sarbach

We investigate the quasinormal modes (QNMs) of a massive scalar field in the background of a regular black hole arising from the proper-time flow in asymptotically safe gravity. This quantum-corrected geometry, characterized by a…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Milena Skvortsova

In this chapter, we review the eikonal technique to analytically derive approximate quasi-normal mode frequencies of black holes. We first review the procedure in General Relativity and extend it to theories beyond General Relativity. As an…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Kent Yagi

We study the quasi-normal modes of the charged scalar perturbations in the background of the Einstein-Maxwell-aether black hole through three methods (WKB method, continued fraction method, generalized eigenvalue method). Then we propose…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Wei Xiong , Peng Liu , Cheng-Yong Zhang , Chao Niu