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We present the improved Mathematica code which computes quasinormal frequencies with the help of the Bernstein spectral method for a general class of black holes, allowing for asymptotically flat, de Sitter or anti-de Sitter asymptotic. The…

General Relativity and Quantum Cosmology · Physics 2023-02-07 R. A. Konoplya , A. Zhidenko

It is well known that the quasinormal modes (or resonant states) of photonic structures can be associated with the poles of the scattering matrix of the system in the complex-frequency plane. In this work, the inverse problem, i.e., the…

Optics · Physics 2017-06-14 Filippo Alpeggiani , Nikhil Parappurath , Ewold Verhagen , L. Kuipers

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 the quasinormal mode spectrum and grey-body factors of black holes in an effectively quantum-corrected spacetime, focusing on the influence of near-horizon modifications on observable quantities. Employing scalar, electromagnetic,…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Bekir Can Lütfüoğlu , Erdinç Ulaş Saka , Abubakir Shermatov , Javlon Rayimbaev , Inomjon Ibragimov , Sokhibjan Muminov

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

In this work we study whether parametrized spherically symmetric black hole solutions in metric theories of gravity can appear to be isospectral when studying perturbations. From a theory agnostic point of view, the test scalar field wave…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sebastian H. Völkel , Kostas D. Kokkotas

We calculate the spectrum of quasinormal modes of slowly rotating Kerr-Newman black holes. Using a perturbative double expansion method, second order in rotation and first order in non-radial perturbations, we obtain the system of equations…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Jose Luis Blázquez-Salcedo , Fech Scen Khoo

Analyzing the stability of quasinormal modes (QNM) is essential for understanding black hole dynamics, particularly in the context of gravitational wave emissions and black hole spectroscopy. In this study, we employ the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Lucas Tobias de Paula , Pedro Henrique Croti Siqueira , Rodrigo Panosso Macedo , Maurício Richartz

Recently, an exact black hole solution in non-minimal Einstein-Yang-Mills theory was obtained, and its quasinormal modes were subsequently analyzed using the JWKB approximation \cite{Gogoi:2024vcx}. However, we demonstrate that this…

General Relativity and Quantum Cosmology · Physics 2025-06-10 B. C. Lütfüoğlu

In this paper we study the Dirac quasinormal modes of an uncharged 2 + 1 black hole proposed by Mandal et. al and referred to as MSW black hole in this work. The quasi- normal mode is studied using WKB approximation method. The study shows…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Saneesh Sebastian , V. C. Kuriakose

We investigate quasinormal ringing in both time and frequency domains for scalar and neutrino perturbations around black hole solutions that simultaneously describe regular and extreme configurations within a non-linear electrodynamics…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Milena Skvortsova

We investigate the quasinormal modes of several families of higher-dimensional regular black holes arising in gravitational theories that incorporate an infinite tower of higher-curvature corrections to Einstein gravity. Our analysis…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Juan Pablo Arbelaez

We study time evolutions of charged scalar perturbations on the background of a charged hairy black hole, in which the perturbations can be governed by a double-peak effective potential. By extracting quasinormal modes from the waveform of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

We study the quasinormal spectrum of massless scalar fields propagating on a family of regular BTZ black holes arising from an infinite tower of dimensionally regularized Lovelock corrections. These geometries are asymptotically AdS, reduce…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Kartheek Hegde , Tajron Jurić , A. Naveena Kumara

In this paper, we investigate the quasinormal mode (QNM) spectra for scalar perturbation over a quantum-corrected black hole (BH). The fundamental modes of this quantum-corrected BH exhibit two key properties. Firstly, there is a…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Huajie Gong , Shulan Li , Dan Zhang , Guoyang Fu , Jian-Pin Wu

The paper addresses parametric inequality systems described by polynomial functions in finite dimensions, where state-dependent infinite parameter sets are given by finitely many polynomial inequalities and equalities. Such systems can be…

Optimization and Control · Mathematics 2015-09-15 G. Li , B. S. Mordukhovich , T. T. A. Nghia , T. S. Pham

Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

In this study, we investigate the pseudospectrum and spectrum (in)stability of quantum corrected Schwarzschild black hole. Methodologically, we use the hyperboloidal framework to cast the quasinormal mode (QNM) problem into an eigenvalue…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Li-Ming Cao , Jia-Ning Chen , Liang-Bi Wu , Libo Xie , Yu-Sen Zhou

We have extended the semianalytic technique of Iyer and Will for computing the complex quasinormal frequencies of black holes, $\omega,$ by constructing the Pad\'e approximants of the (formal) series for $\omega^{2}$. It is shown that for…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Jerzy Matyjasek , Michał Opala

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