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Related papers: Quasinormal modes and Stability Analysis for 4-dim…

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We study the stability of new neutral and electrically charged four-dimensional black hole solutions of Einstein's equations with a positive cosmological constant and conformally coupled scalar field. The neutral black holes are always…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tom J. T. Harper , Paul A. Thomas , Elizabeth Winstanley , Phil M. Young

It has been shown, via specific examples and a pseudospectrum analysis, that the black hole quasinormal spectra are unstable. The implication of such a result for gravitational-wave physics and of our understanding of black holes is, still,…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Vitor Cardoso , Shilpa Kastha , Rodrigo Panosso Macedo

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

We show that three-dimensional massive gravity admits Lifshitz metrics with generic values of the dynamical exponent z as exact solutions. At the point z=3, exact black hole solutions which are asymptotically Lifshitz arise. These…

High Energy Physics - Theory · Physics 2014-11-20 E. Ayón-Beato , A. Garbarz , G. Giribet , M. Hassaine

We study charged fermionic perturbations in the background of two-dimensional charged Dilatonic black holes, and we present the exact Dirac quasinormal modes. Also, we study the stability of these black holes under charged fermionic…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Ramon Becar , P. A. Gonzalez , Y. Vasquez

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 study the scattering of gravitational waves by a Schwarzschild black hole and its perturbed siblings to investigate influences of proposed spectral instability of quasinormal modes on the ringdown signal. Our results indicate that…

General Relativity and Quantum Cosmology · Physics 2023-02-09 Koutarou Kyutoku , Hayato Motohashi , Takahiro Tanaka

It has been suggested that the spectrum of quasinormal modes of rotating black holes is unstable against additional potential terms in the perturbation equation, as the operator associated with the equation is non-self-adjoint. We point out…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Huan Yang , Jun Zhang

Realistic black holes are usually dynamical, noticeable or sluggish. The Vaidya metric is a significant and tractable model for simulating a dynamical black hole. In this study, we consider scalar perturbations in a dynamical Vaidya black…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Kai Lin , Yang-Yi Sun , Hongsheng Zhang

We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--de~Sitter (dS) spacetimes. The method converts the outgoing-wave boundary-value problem into a non-Hermitian spectral problem and enables…

High Energy Physics - Theory · Physics 2026-05-15 Shoya Ogawa , Okuto Morikawa , Takuya Hirose

We study the determination of the mass of a de Sitter-Schwarzschild black hole from one quasinormal mode. We prove a local uniqueness result with a H\"older type stability estimate.

Analysis of PDEs · Mathematics 2023-03-22 Gunther Uhlmann , Yiran Wang

In this paper, we investigate the scalar quasinormal modes of Ho\v{r}ava-Lifshitz theory with $U(1)$ symmetry in static Anti-de Sitter spacetime. The static planar and spherical black hole solutions in lower energy limit are derived in…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Kai Lin , Wei-Liang Qian , A. B. Pavan

We investigated the evolution of a scalar field propagating in small Schwarzschild Anti-de Sitter black holes. The imaginary part of the quasinormal frequency decreases with the horizon size and the real part of the quasinormal frequency…

High Energy Physics - Theory · Physics 2009-11-07 Jiong-Ming Zhu , Bin Wang , Elcio Abdalla

Recently a $D$-dimensional regularization approach leading to the non-trivial $(3+1)$-dimensional Einstein-Gauss-Bonnet (EGB) effective description of gravity was formulated which was claimed to bypass the Lovelock's theorem and avoid…

General Relativity and Quantum Cosmology · Physics 2020-11-16 R. A. Konoplya , A. F. Zinhailo

We investigate the quasinormal modes (QNMs) of a massive scalar field in the background of a regular black hole arising from the proper-time flow in asymptotically safe gravity. This quantum-corrected geometry, characterized by a…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Milena Skvortsova

The present status of the uniqueness and stability issue of black holes in four and higher dimensions is overviewed with focus on the perturbative analysis of this issue for static black holes in higher dimensions as well as for those in…

High Energy Physics - Theory · Physics 2007-05-23 Hideo Kodama

The stability of the Schwarzschild black hole is studied. Regge and Wheeler treated the problem first at 1957 and obtained the dynamical equations for the small perturbation. There are two kinds of perturbations: odd one and even one. Using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guihua Tian , Shikun Wang , Zhao Zheng

In the present paper, we investigate the quasinormal modes of an Einstein-Maxwell power-Yang-Mills black hole in four dimensions, considering a specific value of the power parameter $p = 1/2$. This particular case represents a black hole…

General Relativity and Quantum Cosmology · Physics 2024-08-26 Angel Rincon , Gabriel Gómez

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

We study the instability of small AdS black holes with two independent rotation parameters in minimal five-dimensional gauged supergravity to massless scalar perturbations. We analytically solve the Klein-Gordon equation for low-frequency…

High Energy Physics - Theory · Physics 2009-03-12 Alikram N. Aliev , Özgür Delice