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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

In this paper we complete a systematic study on quasinormal modes (QNMs) and late time tails for scalar, Dirac and Maxwell fields on a spherically symmetric Schwarzschild-like black hole with a global monopole in the Einstein-bumblebee…

General Relativity and Quantum Cosmology · Physics 2023-07-21 Xiaolin Zhang , Mengjie Wang , Jiliang Jing

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

Two numerical methods are used to calculate quasinormal modes (QNMs) of near-extremal black holes/strings in the generalized spherically/cylindrically symmetric background, the Asymptotic Iteration Method (AIM) and the Spectral Method. The…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Taum Wuthicharn , Supakchai Ponglertsakul , Piyabut Burikham

String theory is a promising candidate for a fundamental quantum theory of all interactions including Einstein gravity. Some solutions in string theory can be interpreted as black holes. Using the semi-analytic method and WKB method,the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Xin-zhou Li , Jian-gang Hao , Dao-jun Liu

Black-hole quasinormal modes have been the subject of much recent attention, with the hope that these oscillation frequencies may shed some light on the elusive theory of quantum gravity. We study {\it analytically} the asymptotic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shahar Hod

We discuss new recurrence-based methods for calculating the complex frequencies of the quasinormal modes of black holes. These methods are based on the Frobenius series solutions of the differential equation describing the linearized radial…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Kristian Benda , Jerzy Matyjasek

In a study of the quasinormal mode frequencies of nearly extremal black holes, we pointed out a bifurcation of the mode spectrum into modes with finite decay and modes with vanishing decay in the extremal limit. We provided analytic and…

General Relativity and Quantum Cosmology · Physics 2015-10-29 Aaron Zimmerman , Huan Yang , Fan Zhang , David A. Nichols , Emanuele Berti , Yanbei Chen

We explore the relationship between classical quasinormal mode frequencies and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of Hod, we identify the real part of the quasinormal frequencies with the fundamental…

High Energy Physics - Theory · Physics 2009-11-10 Danny Birmingham , Steven Carlip , Yujun Chen

We present detailed calculations of the quasinormal modes of Reissner-Nordstrom black holes. While the first few, slowly damped, modes depend on the charge of the black hole in a relatively simple way, we find that the rapidly damped modes…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Nils Andersson , Hisashi Onozawa

Complex frequencies associated with quasinormal modes for large Reissner-Nordstr$\ddot{o}$m Anti-de Sitter black holes have been computed. These frequencies have close relation to the black hole charge and do not linearly scale with the…

High Energy Physics - Theory · Physics 2009-10-31 Bin Wang , Chi-Yong Lin , Elcio Abdalla

The issue concerning rigorous methods recently developed in deriving the asymptotics of quasi-normal modes is revisited and applied to a generic non rotating multi-horizon black holes solution. Some examples are illustrated and the single…

High Energy Physics - Theory · Physics 2009-11-10 L. Vanzo , S. Zerbini

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 massive scalar quasinormal spectra of charged Einstein--Maxwell--dilaton black holes by combining high-order WKB--Pad\'e calculations with time-domain evolution. The two approaches show close agreement in the regime where both…

General Relativity and Quantum Cosmology · Physics 2026-04-15 S. V. Bolokhov

Here we shall show that there is no other instability for the Einstein-Gauss-Bonnet-anti-de Sitter (AdS) black holes, than the eikonal one and consider the features of the quasinormal spectrum in the stability sector in detail. The obtained…

High Energy Physics - Theory · Physics 2017-10-03 R. A. Konoplya , A. Zhidenko

Motivated by novel results in the theory of black-hole quantization, we study {\it analytically} the quasinormal modes (QNM) of ({\it rotating}) Kerr black holes. The black-hole oscillation frequencies tend to the asymptotic value…

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

We show that first several overtones could calculated by the time-domain integration method for asymptotically de Sitter black holes already at the lowest multipole numbers of gravitational and electromagnetic perturbations. This is not…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Alexey Dubinsky

We use the inverse-dimensional expansion to compute analytically the frequencies of a set of quasinormal modes of static black holes of Einstein-(Anti-)de Sitter gravity, including the cases of spherical, planar or hyperbolic horizons. The…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa

The quasinormal modes for a scalar field in the background spacetime corresponding to a black hole, with a cloud of strings, in Einstein-Gauss-Bonnet gravity, and the tensor quasinormal modes corresponding to perturbations in such…

General Relativity and Quantum Cosmology · Physics 2023-02-22 J. P. Morais Graça , Godonou I. Salako , V. B. Bezerra