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When a classical black hole is perturbed, its relaxation is governed by a set of quasinormal modes with complex frequencies \omega= \omega_R+i\omega_I. We show that this behavior is the same as that of a collection of damped harmonic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

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 examine the robustness of black hole ringdown to stochastic horizon-scale structure within an effective field framework. Consistent with the understanding that the spectral instability of quasinormal modes does not necessarily imply…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Han-Wen Hu , Cheng-Jun Fang , Zong-Kuan Guo

Within linearized perturbation theory, black holes decay to their final stationary state through the well-known spectrum of quasinormal modes. Here we numerically study whether nonlinearities change this picture. For that purpose we study…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Enrique Pazos , David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

The physical interpretation of black hole's quasinormal modes is fundamental for realizing unitary quantum gravity theory as black holes are considered theoretical laboratories for testing models of such an ultimate theory and their…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Christian Corda

We investigate the pseudospectrum of a Schwarzschild-like spacetime within the framework of black hole perturbation theory to analyze a counterintuitive assertion regarding the instability of quasinormal modes. Recent findings suggest that…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Pedro Henrique Croti Siqueira , Lucas Tobias de Paula , Rodrigo Panosso Macedo , Maurício Richartz

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

Black hole quasinormal modes are known to exhibit spectral instability under ultraviolet perturbations of the effective potential. In the present work, we investigate the sensitivity of the fundamental mode to different types of localized…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Ramin G. Daghigh , Michael D. Green , Guan-Ru Li , Jodin C. Morey , Wei-Liang Qian , Stefan J. Randow

We develop an analytical ringdown waveform model, including both the fundamental and the overtone quasinormal modes, for charged black holes and show that it is precise enough to analyze current gravitational wave data. Applying this…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Hai-Tian Wang , Shao-Peng Tang , Peng-Cheng Li , Yi-Zhong Fan

Using the quasinormal modes of a massless scalar perturbation, we investigate the small/large black hole phase transition in the Lorentz symmetry breaking massive gravity. We mainly focus on two issues: i) the sign change of slope of the…

General Relativity and Quantum Cosmology · Physics 2019-06-11 Bin Liang , Shao-Wen Wei , Yu-Xiao Liu

Quasinormal modes provide valuable information about the structure of spacetime outside a black hole. There is also a conjectured relationship between the highly damped quasinormal modes and the semi-classical spectrum of the horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-28 James Babb , Ramin G. Daghigh , Gabor Kunstatter

The ringdown (RD) phase of gravitational waves is of prime interest for testing general relativity (GR). The modelling of the linear quasi-normal modes (QNMs) within the Kerr spectrum -- or with agnostic parameterized deviations to that GR…

General Relativity and Quantum Cosmology · Physics 2025-09-08 Yi Qiu , Xisco Jiménez Forteza , Pierre Mourier

We compute the spectrum of quasinormal frequencies of regular black holes obtained in the presence of Non-Linear Electrodynamics. In particular, we perturb the black hole with a minimally coupled massive scalar field, and we study the…

General Relativity and Quantum Cosmology · Physics 2019-05-24 Grigoris Panotopoulos , Ángel Rincón

It has been suggested that the highly damped quasinormal modes of black holes provide information about the microscopic quantum gravitational states underlying black hole entropy. This interpretation requires the form of the highly damped…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ramin G. Daghigh , Gabor Kunstatter

The late stages of the relaxation process of a black hole are expected to depend only on its mass and angular momentum and not on the details of its formation process. Inspired by recent analogue gravity experiments, which demonstrate that…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Theo Torres , Sam Patrick , Maurício Richartz , Silke Weinfurtner

A Regge--Wheeler analysis is performed for a novel black hole mimicker `the regular black hole with asymptotically Minkowski core', followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order…

General Relativity and Quantum Cosmology · Physics 2021-10-06 Alex Simpson

We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization…

High Energy Physics - Theory · Physics 2020-06-12 Gleb Aminov , Alba Grassi , Yasuyuki Hatsuda

Perturbations of stars and black holes have been one of the main topics of relativistic astrophysics for the last few decades. They are of particular importance today, because of their relevance to gravitational wave astronomy. In this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Bernd G. Schmidt

We propose a new way of analyzing, and analytically representing, the ringdown part of the gravitational wave signal emitted by coalescing black hole binaries.By contrast with the usual {\it linear} decomposition of the multipolar complex…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thibault Damour , Alessandro Nagar

Black hole spectroscopy is the proposal to observe multiple quasinormal modes in the ringdown of a binary black hole merger. In addition to the fundamental quadrupolar mode, overtones and higher harmonics may be present and detectable in…

General Relativity and Quantum Cosmology · Physics 2022-02-14 Iara Ota , Cecilia Chirenti
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