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Using the convergent Leaver method, we investigate the quasinormal modes of a massive scalar field propagating in the background of the Casadio--Fabbri--Mazzacurati (CFM) brane-world black hole. We show that the spectrum exhibits two…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Bekir Can Lütfüoğlu , Sardor Murodov , Mardon Abdullaev , Javlon Rayimbaev , Munisbek Akhmedov , Muhammad Matyoqubov

We calculate high-order quasinormal modes with large imaginary frequencies for electromagnetic and gravitational perturbations in nearly extremal Schwarzschild-de Sitter spacetimes. Our results show that for low-order quasinormal modes, the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Shijun Yoshida , Toshifumi Futamase

We study the quasinormal spectrum of a massive test scalar field in the exact asymptotically flat regular black-hole geometry supported by a phantom Dirac--Born--Infeld scalar. Using high-order WKB approximation improved by Pad\'e…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Milena Skvortsova

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 study {\it analytically} the asymptotic quasinormal spectrum of fermionic fields in the Kerr spacetime. We find an analytic expression for these black-hole resonances in terms of the black-hole physical parameters: its Bekenstein-Hawking…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shahar Hod

A perturbed black hole has characteristic frequencies (quasi-normal modes). Here I apply a quantum measurement analysis of the quasi-normal mode frequency in the limit of high damping. It turns out that a measurement of this mode…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Claus Kiefer

Scalar, vector and tensor perturbations on the Kerr spacetime are governed by equations that can be solved by separation of variables, but the same is not true in generic stationary and axisymmetric geometries. This complicates the…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Rajes Ghosh , Nicola Franchini , Sebastian H. Völkel , Enrico Barausse

We analyze the quasinormal modes (QNMs) of a recently obtained solution of a Schwarzschild black hole (BH) with corrections motivated by Loop Quantum Gravity (LQG). This spacetime is regular everywhere and presents the global structure of a…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Zeus S. Moreira , Haroldo C. D. Lima Junior , Luís C. B. Crispino , Carlos A. R. Herdeiro

Besides the well-known quasinormal modes, the gravitational spectrum of a Schwarzschild black hole also has a continuum part on the negative imaginary frequency axis. The latter is studied numerically for quadrupole waves. The results show…

General Relativity and Quantum Cosmology · Physics 2009-11-10 P. T. Leung , Alec Maassen van den Brink , K. W. Mak , K. Young

The 'retarded' Green function for fields propagating on a Schwarzschild black hole spacetime possesses a branch cut on the complex frequency plane. Classically, the branch cut is important, for example, in order to fully determine the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Marc Casals , Adrian C. Ottewill

A novel method, based on superpotentials is proposed for obtaining the quasi-normal modes of anti-de Sitter black holes. This is inspired by the case of the three-dimensional BTZ black hole, where the quasi-normal modes can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. R. Govindarajan , V. Suneeta

Asymptotically safe gravity is based on the idea that the main contribution to the Schwarzschild-like black hole spacetime is due to the value of the gravitational coupling which depends on the distance from the origin and approaches its…

General Relativity and Quantum Cosmology · Physics 2022-11-01 R. A. Konoplya , A. F. Zinhailo , J. Kunz , Z. Stuchlik , A. Zhidenko

We calculate analytically asymptotic values of quasi-normal frequencies of four-dimensional Kerr black holes by solving the Teukolsky wave equation. We obtain an expression for arbitrary spin of the wave in agreement with Hod's proposal…

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

We study scalar, electromagnetic and gravitational test fields in the Hayward, Bardeen and Ay\'on-Beato-Garc\'ia regular black hole spacetimes and demonstrate that the test fields are stable in all these spacetimes. Using the sixth order…

General Relativity and Quantum Cosmology · Physics 2015-04-28 Bobir Toshmatov , Ahmadjon Abdujabbarov , Zdeněk Stuchlík , Bobomurat Ahmedov

Using the third-order WKB approximation, we evaluate the quasinormal frequencies of massless scalar field perturbation around the black hole which is surrounded by the static and spherically symmetric quintessence. Our result shows that due…

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

This is a short review of the quasinormal mode spectrum of Schwarzschild, Reissner-Nordstrom and Kerr black holes. The summary includes previously unpublished calculations of i) the eigenvalues of spin-weighted spheroidal harmonics, and ii)…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Emanuele Berti

We systematically investigate the quasinormal modes of thick branes in $f(R)$ gravity by numerically solving the Schr\"odinger-like perturbation equation of gravitational perturbations. To ensure the reliability of the results, we employ…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yu-Peng E , Chun-Chun Zhu , Yu-Xiao Liu

The objective of this paper is to construct the accurate (say, to 11 decimal places) frequencies of the quasinormal modes of the 5-dimensional Schwarzschild-Tangherlini black hole using three major techniques: the Hill determinant method,…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Jerzy Matyjasek

While independent observations have been made regarding the behaviour of effective quasinormal mode (QNM) potentials within the large angular momentum limit, we demonstrate analytically here that a uniform expression emerges for…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Chun-Hung Chen , Hing-Tong Cho , Anna Chrysostomou , Alan S. Cornell

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