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Black hole quasinormal frequencies are complex numbers that encode information on how a black hole relaxes after it has been perturbed and depend on the features of the geometry and on the type of perturbations. On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonino Flachi , José P. S. Lemos

We reexamined the argument that the quasinormal modes could be a probe of the phase transition of a topological black hole to a hairy configuration by investigating general scalar perturbations. We found further evidence in the quasinormal…

High Energy Physics - Theory · Physics 2010-02-03 Jianyong Shen , Bin Wang , Chi-Yong Lin , Rong-Gen Cai , Ru-Keng Su

Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and classification of the quasinormal spectra…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emanuele Berti , Vitor Cardoso , Andrei O. Starinets

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

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 provide a rigorous definition of quasinormal modes for the Kerr black hole. They are obtained as the discrete set of poles of the meromorphically continued cutoff resolvent. The construction combines the method of complex scaling near…

Analysis of PDEs · Mathematics 2025-07-23 Thomas Stucker

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

Recently, black hole models in a nonlinear modification of the Maxwell electrodynamics were suggested, possessing simultaneously properties of an extreme charge and regularity (Bronnikov K. A., Phys. Rev. D, 110 (2024) 024021). We study…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Milena Skvortsova

We obtain the quasi-normal mode frequencies of scalar perturbation on new type black holes in three dimensional new massive gravity. In some special cases, the exact quasi-normal mode frequencies are obtained by solving scalar field…

High Energy Physics - Theory · Physics 2011-06-24 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

Analytic exact expressions for the quasinormal modes of scalar and electromagnetic perturbations around a special class of black holes are found in d\ge3 dimensions. It is shown that, the size of the black hole provides a bound for the…

High Energy Physics - Theory · Physics 2014-11-20 Julio Oliva , Ricardo Troncoso

In this paper, we undertake a comprehensive examination of quasinormal modes linked to Lee-Wick black holes, delving into scalar, electromagnetic, and gravitational perturbations using the spectral method. Such black holes can display a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Davide Batic , Denys Dutykh , Breno Loureiro Giacchini

In this paper, we investigate the asymptotic nature of the quasinormal modes for "dirty" black holes -- generic static and spherically symmetric spacetimes for which a central black hole is surrounded by arbitrary "matter" fields. We…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A J M Medved , Damien Martin , Matt Visser

We investigate black hole quasinormal modes using the exact WKB method. We perform an analytic continuation from the horizon to infinity along the positive real axis of the radial coordinate and impose appropriate boundary conditions at…

High Energy Physics - Theory · Physics 2025-07-10 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita

The idea that quantum gravity effects might leak outside the horizon of a black hole has recently been intensively considered. In this study, we calculate the quasinormal modes as a function of the location and amplitude of a generic metric…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Aurélien Barrau , Killian Martineau , Jeremy Martinon , Flora Moulin

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

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

By applying the dimensionless scheme, we investigate the quasinormal modes and phase transitions analytically for three types of regular black holes. The universal deviations to the first law of mechanics in regular black holes are proved.…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Chen Lan , Yan-Gang Miao , Hao Yang

We have studied quasinormal modes of scalar perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole and the spherical harmonic index is varied…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Sharmanthie Fernando , Tyler Clark

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

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
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