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The neutrino quasinormal modes of the Reissner-Nordstr\"om (RN) black hole are investigated using continued fraction approach. We find, for large angular quantum number, that the quasinormal frequencies become evenly spaced and the spacing…

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

In this paper, we exhaustively investigate the quasinormal modes (QNMs) of a probe scalar field over a d-dimensional regular black hole (BH) characterized by the parameter A. The quasinormal frequencies (QNFs) exhibit different behaviors…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Zhongzhinan Dong , Dan Zhang , Guoyang Fu , Jian-Pin Wu

We investigate the axial electromagnetic quasinormal modes of a static, asymptotically Anti--de Sitter (AdS) black hole sourced by a nonlinear electrodynamics model of Pleba\'{n}ski type. Starting from the master equation governing axial…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Mohsen Fathi , Ariel Guzmán , J. R. Villanueva

A conjectured connection to quantum gravity has led to a renewed interest in highly damped black hole quasinormal modes (QNMs). In this paper we present simple derivations (based on the WKB approximation) of conditions that determine the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 N Andersson , C. J. Howls

Quasinormal modes of spacetimes with event horizons are typically governed by a non-normal operator. This gives rise to spectral instabilities, a topic of recent interest in the black hole pseudospectrum programme. In this work we show that…

High Energy Physics - Theory · Physics 2024-11-25 Javier Carballo , Benjamin Withers

Quasinormal modes play a prominent role in relaxation of diverse physical systems to equilibria, ranging from astrophysical black holes to tiny droplets of quark-gluon plasma at RHIC and LHC accelerators. We propose that a novel kind of…

High Energy Physics - Theory · Physics 2025-02-04 Matisse De Lescluze , Michal P. Heller

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 compute the quasinormal frequencies for scalar and electromagnetic perturbations of an improved Schwarzschild geometry in the framework of asymptotically safe gravity, which is one of the approaches to quantum gravity. Adopting the…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Angel Rincon , Grigoris Panotopoulos

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

We extend the frequency-domain analysis of quasinormal modes in a dynamical, spherically symmetric black hole spacetime undergoing constant-rate mass evolution. In particular, we report a novel feature of the spectrum: the presence of…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Lodovico Capuano , Thomas Lovo , Gorka Prieto-Varela , Subhodeep Sarkar , Adrien Kuntz , Enrico Barausse , Dawood Kothawala

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

Black hole dynamical instabilities have been mostly studied in specific models. We here study the general properties of the complex-frequency modes responsible for such instabilities, guided by the example of a charged scalar field in an…

General Relativity and Quantum Cosmology · Physics 2016-07-04 Antonin Coutant , Florent Michel , Renaud Parentani

We calculate analytically the transmission and reflection amplitudes for waves incident on a rotating black hole in d=4, analytically continued to asymptotically large, nearly imaginary frequency. These amplitudes determine the asymptotic…

High Energy Physics - Theory · Physics 2008-11-26 Uri Keshet , Andrew Neitzke

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

We compute the quasi-normal modes of scalar, electromagnetic, and gravitational perturbations of an Ay\'on-Beato-Garc\'ia black hole surrounded by quintessence using the Asymptotic Iteration Method (30 iterations). The results are compared…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Diego Ariel Sotelo Carrillo , Omar Pedraza , L. A. López , R. Arceo

The d-dimensional string generated gravity models lead to Einstein-Maxwell equations with quadratic order correction term called the Gauss-Bonnet term. We calculate the quasinormal modes for the d-dimensional charged black hole in the…

High Energy Physics - Theory · Physics 2009-11-10 Roman Konoplya

We determine the quasinormal frequencies for all gravitational perturbations of the d-dimensional Schwarzschild black hole, in the infinite damping limit. Using the potentials for gravitational perturbations derived recently by Ishibashi…

High Energy Physics - Theory · Physics 2009-11-10 Danny Birmingham

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 investigate the massless scalar field perturbations of a new loop quantum gravity motivated regular black hole proposed by Ashtekar {\it et al.} in [Phys.Rev.Lett. 121, 241301 (2018), Phys.Rev.D 98, 126003 (2018)]. The spacetime of this…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Ramin G. Daghigh , Michael D. Green , Gabor Kunstatter

In this work, we investigate the relation between bound states and quasinormal modes within black hole perturbation theory in the context of spectral instability. Our analysis indicates that the reliability of such spectral mapping…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Guan-Ru Li , Wei-Liang Qian , Xiao-Mei Kuang , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Peng Xu , Rui-Hong Yue