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Recent detections of gravitational waves have made black hole quasinormal modes a powerful tool in testing predictions of general relativity. Understanding the spectrum of these quasinormal modes in a broad class of theories beyond general…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Colin Weller , Dongjun Li , Yanbei Chen

The quasinormal-mode spectrum of the Schwarzschild-de Sitter black hole is studied in the limit of near-equal black-hole and cosmological radii. It is found that the mode_frequencies_ agree with the P"oschl-Teller approximation to one more…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alec Maassen van den Brink

The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Flora Moulin , Aurélien Barrau

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

Quasinormal modes have played a prominent role in the discussion of perturbations of black holes, and the question arises whether they are as significant as normal modes are for self adjoint systems, such as harmonic oscillators. They can…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Hans-Peter Nollert

For a two-dimensional black hole we determine the quasinormal frequencies of the Klein-Gordon and Dirac fields. In contrast to the well known examples whose spectrum of quasinormal frequencies is discrete, for this black hole we find a…

General Relativity and Quantum Cosmology · Physics 2014-07-04 S. Estrada-Jimenez , J. R. Gomez-Diaz , A. Lopez-Ortega

In this paper, we undertake a comprehensive examination of quasinormal modes linked to Lee-Wick black holes, delving into scalar, electromagnetic, and gravitational perturbations using the spectral method. Such black holes can display a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Davide Batic , Denys Dutykh , Breno Loureiro Giacchini

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

The aim of this work is to improve understanding of the resonant spectra of black holes under perturbations arising from e.g. compact objects or accretion disks in their vicinity. It is known that adding a weak perturbation to the radial…

General Relativity and Quantum Cosmology · Physics 2026-01-09 T. Torres , S. R. Dolan

We present a comprehensive analysis of quasinormal modes (QNMs) for noncommutative geometry-inspired Schwarzschild black holes, encompassing both non-extreme and extreme cases. By employing a spectral method, we calculate the QNMs in the…

General Relativity and Quantum Cosmology · Physics 2024-07-15 Davide Batic , Denys Dutykh

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

We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity. The effective potential for scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Bobir Toshmatov , Cosimo Bambi , Bobomurat Ahmedov , Zdeněk Stuchlík , Jan Schee

The decay of massive scalar field in the Schwarzschild black hole background is investigated here by consideration its quasinormal spectrum. It has been proved that the so-called $quasi-resonant$ modes, which are arbitrary long living…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. A. Konoplya , A. V. Zhidenko

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

Gravitational wave echoes from the black holes have been suggested as a crucial observable to probe the spacetime in the vicinity of the horizon. In particular, it was speculated that the echoes are closely connected with specific…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Hang Liu , Wei-Liang Qian , Yunqi Liu , Jian-Pin Wu , Bin Wang , Rui-Hong Yue

Black holes are found to exist in gravitational theories with the presence of quadratic curvature terms and behave differently from the Schwarzschild solution. We present an exhaustive analysis for determining the quasinormal modes of a…

High Energy Physics - Theory · Physics 2016-01-20 Yi-Fu Cai , Hezi Zhang , Junyu Liu , Gong Cheng , Min Wang

It has long been known that null unstable geodesics are related to the characteristic modes of black holes-- the so called quasinormal resonances. The basic idea is to interpret the free oscillations of a black hole in the eikonal limit in…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Shahar Hod

Recent work has shown that the quasinormal mode spectrum of black holes is unstable under small perturbations (of order $\epsilon$) of the radial potential, while the early time-domain ringdown waveform is only marginally affected. In this…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yiqiu Yang , Zhan-Feng Mai , Run-Qiu Yang , Lijing Shao , Emanuele Berti

We calculate quasinormal modes of scalar and neutrino perturbations around the charged black hole in Asymptotically Safe Gravity. We show that the charge and coupling constant change the quasinormal spectrum considerably. We show that…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Alexey Dubinsky

We investigate axial gravitational perturbations and quasinormal modes of regular black holes supported by an Einasto distribution of matter. Halo matter not only removes the central singularity but also modifies the quasinormal spectrum.…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Mardon Abdullaev , Munisbek Akhmedov