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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

We have studied the scalar perturbation of static charged dilaton black holes in 2+1 dimensions. The black hole considered here is a solution to the low-energy string theory in 2+1 dimensions. It is asymptotic to the anti-de Sitter space.…

High Energy Physics - Theory · Physics 2014-08-21 Sharmanthie Fernando

The behavior of a massive charged test Dirac field in the background of a Reissner-Nordstr\"om black hole is investigated. Especially, we obtain the frequencies of quasibound states by solving the Dirac equation numerically both in time and…

General Relativity and Quantum Cosmology · Physics 2017-08-17 Yang Huang , Dao-Jun Liu , Xiang-hua Zhai , Xin-zhou Li

Recently, the anomalous decay rate of quasinormal modes has been studied for some geometries under scalar field perturbations, which occurs when the longest-lived modes are the ones with higher angular number, as well as, the existence of a…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Almendra Aragón , Ramón Bécar , P. A. González , Yerko Vásquez

We compute the quasinormal frequencies for scalar perturbations of hairy black holes in four-dimensional Einstein-Maxwell-dilaton theory assuming a non-trivial scalar potential for the dilaton field. We investigate the impact on the…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Angel Rincon , Grigoris Panotopoulos

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 the quasinormal modes of a massless scalar field on an effective rotating loop quantum black hole background, constructed from a covariant spherical model via an improved Newman-Janis algorithm. Using the continued fraction…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Zhongzhinan Dong , Shulan Li , Dan Zhang , Jian-Pin Wu

We analyze the largely accepted formulas for the asymptotic quasi-normal frequencies of the non-extremal Reissner-Nordstr\"om black hole, (for the electromagnetic-gravitational/scalar perturbations). We focus on the question of whether the…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Jozef Skakala

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

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Wei Xiong , Peng-Cheng Li

Classical (quasinormal) and quantum (Hawking) radiations are investigated for test fields in the background of a four dimensional, spherically symmetric and asymptotically flat black hole in the Einstein-dilaton-Gauss-Bonnet (EdGB) theory.…

General Relativity and Quantum Cosmology · Physics 2019-07-03 R. A. Konoplya , A. F. Zinhailo , Z. Stuchlík

It has been recently found that for the near extremal Kerr black holes appearing of Zero Damped Modes (accompanied by qusinormal mode branching) signifies about inapplicability of the regime of small perturbations and the onset of…

General Relativity and Quantum Cosmology · Physics 2015-09-23 K. D. Kokkotas , R. A. Konoplya , A. Zhidenko

We analytically calculate to second order the correction to the asymptotic form of quasinormal frequencies of four dimensional Schwarzschild black holes based on the monodromy analysis proposed by Motl and Neitzke. Our results are in good…

High Energy Physics - Theory · Physics 2008-11-26 Hsien-chung Kao

In this paper we study the perturbations of the charged, dilaton black hole, described by the solution of the low energy limit of the superstring action found by Garfinkle, Horowitz and Strominger. We compute the complex frequencies of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Valeria Ferrari , Massimo Pauri , Federico Piazza

We study the quasinormal modes of the massless scalar perturbation in the background of a deformed black hole in the Ho\v{r}ava-Lifshitz gravity with coupling constant $\lambda=1$. Our results show that the quasinormal frequencies depend on…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Songbai Chen , Jiliang Jing

A new branch of quasinormal modes for a massless scalar field propagating on the Schwarzschild spacetime was recently announced [1807.04513]. We review the quasinormal modes characterisation and arguments and identify the flaws in their…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Rodrigo Panosso Macedo

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

It is well-known that there is a geometric correspondence between high-frequency quasi-normal modes (QNMs) and null geodesics (spherical photon orbits). In this paper, we generalize such correspondence to charged scalar field in Kerr-Newman…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Peng Zhao , Yu Tian , Xiaoning Wu , Zhaoyong Sun

Massless fields propagating in a generic Kerr black hole background enjoy a hidden SL(2,R)xSL(2,R) symmetry. We determine how the exact mode functions decompose into representations of this symmetry group. This extends earlier results on…

High Energy Physics - Theory · Physics 2014-03-12 David A. Lowe , Ilies Messamah , Antun Skanata

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
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