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We prove that quasinormal modes (or resonant states) for linear wave equations in the subextremal Kerr and Kerr-de Sitter spacetimes are real analytic. The main novelty of this paper is the observation that the bicharacteristic flow…

Analysis of PDEs · Mathematics 2023-12-20 Oliver Petersen , András Vasy

We compute the quasinormal modes associated with decay of the massless scalar filed around a small Schwarzschild-Anti-de-Sitter black hole. The computations shows that when the horizon radius is much less than the anti-de-Sitter radius, the…

High Energy Physics - Theory · Physics 2009-11-07 R. A. Konoplya

Scalar and gravitational perturbations on Kerr-anti-de Sitter (Kerr-AdS) black holes have been addressed in the literature and have been shown to exhibit a rich phenomenology. In this paper we complete the analysis of bosonic fields on this…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Mengjie Wang , Carlos Herdeiro

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

Pseudospectral analyses have broadened our understanding of ringdown waveforms from binary remnants, by providing insight into both the stability of their characteristic frequencies under environmental perturbations, as well as the…

General Relativity and Quantum Cosmology · Physics 2024-02-12 Kyriakos Destounis , Valentin Boyanov , Rodrigo Panosso Macedo

Recently, black hole models in a nonlinear modification of the Maxwell electrodynamics were suggested, possessing simultaneously properties of an extreme charge and regularity (Bronnikov K. A., Phys. Rev. D, 110 (2024) 024021). We study…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Milena Skvortsova

A novel method, based on superpotentials is proposed for obtaining the quasi-normal modes of anti-de Sitter black holes. This is inspired by the case of the three-dimensional BTZ black hole, where the quasi-normal modes can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. R. Govindarajan , V. Suneeta

It is shown that the quasi-normal modes arise, in a natural way, when considering the oscillations in unbounded regions by imposing the radiation condition at spatial infinity with a complex wave vector $k$. Hence quasi-normal modes are not…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Nesterenko , A. Feoli , G. Lambiase , G. Scarpetta

We introduce a rigorous framework for defining quasinormal modes on stationary, asymptotically flat spacetimes as isolated eigenvalues of the infinitesimal generator of time translations. We consider time functions corresponding to a…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Dejan Gajic , Claude M. Warnick

We study quasinormal modes of massive scalar perturbations in Kerr black holes using the isomonodromic method. For arbitrary scalar masses $M \mu$ and black hole spins $a/M$, we numerically determine the quasinormal frequencies for various…

General Relativity and Quantum Cosmology · Physics 2024-12-31 João Paulo Cavalcante , Maurício Richartz , Bruno Carneiro da Cunha

It has been recently found that for the near extremal Kerr black holes appearing of Zero Damped Modes (accompanied by qusinormal mode branching) signifies about inapplicability of the regime of small perturbations and the onset of…

General Relativity and Quantum Cosmology · Physics 2015-09-23 K. D. Kokkotas , R. A. Konoplya , A. Zhidenko

It has been recently demonstrated that the orbital velocity profile around Kerr black holes in the equatorial plane as observed in the locally non-rotating frame exhibits a non-monotonic radial behaviour. We show here that this unexpected…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andreas Mueller , Bernd Aschenbach

A (charged) rotating black hole may be unstable against a (charged) massive scalar field perturbation due to the existence of superradiance modes. The stability property depends on the parameters of the system. In this paper, the…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Jia-Mao Lin , Ming-Jian Luo , Zi-Han Zheng , Lei Yin , Jia-Hui Huang

We derive an expression for the quasinormal modes of scalar perturbations in near extreme d-dimensional Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter black holes. We show that, in the near extreme limit, the dynamics of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Molina

So far analysis of the quasinormal spectrum of a massive charged scalar field in the black hole background has been limited by the regime of small \mu M and qQ, where \mu, q (M, Q) are mass and charge of the field (black hole). Here we…

General Relativity and Quantum Cosmology · Physics 2013-08-06 R. A. Konoplya , A. Zhidenko

This paper presents a comprehensive study of the fundamental quasinormal modes of all Standard Model fields propagating on a brane embedded in a higher-dimensional rotating black hole spacetime. The equations of motion for fields with spin…

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

An analytic expression for the scalar quasinormal modes of the generic, spinning Kerr-$\mathrm{AdS_5}$ black holes was previously proposed by the authors in ref. 1, in terms of transcendental equations involving the Painlev\'e VI (PVI)…

High Energy Physics - Theory · Physics 2019-05-22 Julián Barragán-Amado , Bruno Carneiro da Cunha , Elisabetta Pallante

We study scalar perturbations of four dimensional topological nonlinear charged Lifshitz black holes with spherical and plane transverse sections, and we find numerically the quasinormal modes for scalar fields. Then, we study the stability…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Ramon Becar , P. A. Gonzalez , Yerko Vasquez

We analyze the instability of the non-rotating fermion vacuum in Kerr spacetimes. We describe how the co-rotating Fermi sea is formed as a result of a spontaneous vacuum decay. Most significantly, and drawing upon intuition gained from…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Antonin Coutant , Peter Millington

In this article, we study the stability of black hole solutions found in the context of dilatonic Horava-Lifshitz gravity in $1+1$ dimensions by means of the quasinormal modes approach. In order to find the corresponding quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2016-02-22 Miguel Cruz , Manuel Gonzalez-Espinoza , Joel Saavedra , Diego Vargas-Arancibia