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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 provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole…

Analysis of PDEs · Mathematics 2011-07-21 Semyon Dyatlov

We find the gravitational resonance (quasinormal) modes of the higher dimensional Schwarzschild and Reissner-Nordstrem black holes. The effect on the quasinormal behavior due to the presence of the $\lambda$ term is investigated. The QN…

High Energy Physics - Theory · Physics 2009-11-10 R. A. Konoplya

The remnant of a black hole binary merger settles into a stationary configuration by "ringing down" through the emission of gravitational waves that consist of a superposition of damped exponentials with discrete complex frequencies - the…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Matteo Della Rocca , Laura Pezzella , Emanuele Berti , Leonardo Gualtieri , Andrea Maselli

We have studied the quasinormal modes and the late-time tail behaviors of scalar, electromagnetic and gravitational perturbations in the Schwarzschild black hole pierced by a cosmic string. Although the metric is locally identical to that…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Songbai Chen , Bin Wang , Rekeng Su

It is known that the imaginary parts of the frequencies of the quasi normal modes of the Schwarzschild black hole are equally spaced, with the level spacing dependent only on the surface gravity. We generalize this result to a wider class…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Padmanabhan

A distorted black hole radiates gravitational waves in order to settle down in a smoother geometry. During that relaxation phase, a characteristic damped ringing is generated. It can be theoretically constructed from both the black hole…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Yves Décanini , Antoine Folacci , Mohamed Ould El Hadj

We study the quasinormal modes of massless charged fermions in a Reissner-Nordstrom-anti-de Sitter black hole spacetime. In the probe limit, we find that the imaginary part of quasinormal frequency will become positive when the temperature…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Rong-Gen Cai , Zhang-Yu Nie , Bin Wang , Hai-Qing Zhang

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng

We investigate the excitation of quasi-normal modes (QNMs) in gravitational lensing by a Schwarzschild black hole using a scalar field model. By employing a time-domain mode-sum method, we analyze the complex interplay between an incident…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Chengjiang Yin , Zihao Lin , Jian-hua He

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

Recent studies of scalar and gravitational waveforms from high-eccentricity, extreme mass-ratio black hole binaries show the presence of quasi-normal bursts (QNB) -- lingering high frequency decaying oscillations (also known as ``wiggles'')…

General Relativity and Quantum Cosmology · Physics 2019-12-09 Nur E. M. Rifat , Gaurav Khanna , Lior M. Burko

General Relativity predicts the existence of quadratic quasi-normal modes at second order in perturbation theory. Building on our recent work, we compute the amplitudes and polarizations of these modes for non-rotating black holes, showing…

High Energy Physics - Theory · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

Echoes are known as modifications of the usual quasinormal ringing of a black hole at late times because of the deviation of space-time from the initial black-hole geometry in a small region near its event horizon. We consider a class of…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Kirill A. Bronnikov , Roman A. Konoplya

We investigate charged, massive scalar field around static, spherically symmetric black hole immersed into an external asymptotically uniform magnetic field $B$. It is shown that for given multipole number $\ell$ there are $2\ell+1$ numbers…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Bobur Turimov , Bobir Toshmatov , Bobomurat Ahmedov , Zden{ě}k Stuchlík

We review recent calculations of quasinormal modes and asymptotic tails of the Bardeen spacetime interpreted as a quantum corrected Schwarzschild-like black holes. Massless electromagnetic and Dirac fields and massive scalar field are…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Dmitriy Ovchinnikov

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 investigate the parametrized black hole quasinormal ringdown formalism, which is a robust framework used to analyze quasinormal modes in systems that closely resemble general relativity, paying particular attention to the higher…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Shin'ichi Hirano , Masashi Kimura , Masahide Yamaguchi , Jiale Zhang

We examine the quasi normal modes of Ellis-Bronnikov wormholes embedded in a warped five dimensional braneworld background and compare with it's four dimensional counterpart. These scalar quasi normal frequencies are obtained using the WKB…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Antariksha Mitra , Suman Ghosh

The recent reported gravitational wave detection motivates one to investigate the properties of different black hole models, especially their behavior under (axial) gravitational perturbation. Here, we study the quasinormal modes of black…

General Relativity and Quantum Cosmology · Physics 2022-08-09 Mehrab Momennia , Seyed Hossein Hendi