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We consider a wave equation with a potential on the half-line as a model problem for wave propagation close to an extremal horizon, or the asymptotically flat end of a black hole spacetime. We propose a definition of quasinormal frequencies…

Analysis of PDEs · Mathematics 2021-10-15 Dejan Gajic , Claude Warnick

We investigate quasinormal modes (QNMs) of scalar, electromagnetic, and axial gravitational perturbations in slowly rotating Kalb-Ramond (KR) black holes, where an antisymmetric tensor field induces spontaneous Lorentz symmetry breaking.…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Weike Deng , Wentao Liu , Kui Xiao , Jiliang Jing

There is a well-known, intuitive geometric correspondence between high-frequency QNMs of Schwarzschild black holes and null geodesics that reside on the light-ring : the real part of the mode's frequency relates to the geodesic's orbital…

General Relativity and Quantum Cosmology · Physics 2012-12-19 Huan Yang , David A. Nichols , Fan Zhang , Aaron Zimmerman , Zhongyang Zhang , Yanbei Chen

The proper understanding of the electromagnetic counterpart of gravity-waves emitters is of serious interest to the multimessenger astronomy. In this article, we study the numerical stability of the quasinormal modes (QNM) and quasibound…

High Energy Astrophysical Phenomena · Physics 2015-12-01 Denitsa Staicova , Plamen Fiziev

In this paper, we investigate the quasinormal mode (QNM) spectra for scalar perturbation over a quantum-corrected black hole (BH). The fundamental modes of this quantum-corrected BH exhibit two key properties. Firstly, there is a…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Huajie Gong , Shulan Li , Dan Zhang , Guoyang Fu , Jian-Pin Wu

The purpose of this paper is to study quasinormal modes (QNM) of the Bardeen black hole due to scalar perturbations. We have done a thorough analysis of the QNM frequencies by varying the charge $q$, mass $M$ and the spherical harmonic…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sharmanthie Fernando , Juan Correa

We study the stability of five-dimensional Myers-Perry black holes with a single angular momentum under linear perturbations, and we compute the quasinormal modes (QNM's) of the black hole metric projected on the brane, using Leaver's…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Emanuele Berti , Kostas D. Kokkotas , Eleftherios Papantonopoulos

This work discusses the Improved Matrix Method and Weighted Residual Method for studying the quasinormal modes (QNMs) of black holes. In the first method, by utilizing Jordan decomposition, the improved matrix method avoids the calculation…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Kai Lin

Black-hole spectroscopy aims to infer the fundamental properties of black holes by analysing the spectrum of gravitational waves emitted as they settle into equilibrium. These resonances, known as quasinormal modes (QNMs), decay rapidly,…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Pietro Smaniotto , Leonardo Solidoro , Patrik Švančara , Sam Patrick , Maurício Richartz , Carlo F. Barenghi , Ruth Gregory , Silke Weinfurtner

We formulate and calculate the second order quasi-normal modes (QNMs) of a Schwarzschild black hole (BH). Gravitational wave (GW) from a distorted BH, so called ringdown, is well understood as QNMs in general relativity. Since QNMs from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroyuki Nakano , Kunihito Ioka

The study of the quasinormal modes (QNMs) of the 2+1 dimensional rotating draining bathtub acoustic black hole, the closest analogue found so far to the Kerr black hole, is performed. Both the real and imaginary parts of the quasinormal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Vitor Cardoso , Jose' P. S. Lemos , Shijun Yoshida

In previous work [1] we proposed an improvement of the WKB-based semianalytic technique of Iyer and Will for calculation of the quasiormal modes of black holes by constructing the Pad\'e approximants of the formal series for $\omega^{2}.$…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jerzy Matyjasek , Malgorzata Telecka

From a five-dimensional Einstein-Maxwell theory, Bah et al. constructed a singularity free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)]. After the Klein-Kluza reduction, i.e., integrating the extra space dimension, it can…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Wen-Di Guo , Qin Tan

The future detection of quasi-normal modes (QNMs) from black hole ringdown will allow for consistency and independent tests of general relativity (GR) in the strong-field regime. In this paper, we perform a ringdown Fisher forecast when…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Macarena Lagos , Tomás Andrade , Jordi Rafecas-Ventosa , Lam Hui

Two numerical methods are used to calculate quasinormal modes (QNMs) of near-extremal black holes/strings in the generalized spherically/cylindrically symmetric background, the Asymptotic Iteration Method (AIM) and the Spectral Method. The…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Taum Wuthicharn , Supakchai Ponglertsakul , Piyabut Burikham

Based on the work of Chen, L\"u and Pope, we derive expressions for the $D\geq 6$ dimensional metric for Kerr-(A)dS black holes with two independent rotation parameters and all others set equal to zero: $a_1\neq 0, a_2\neq0, a_3=a_4=...=0$.…

High Energy Physics - Theory · Physics 2011-07-06 H. T. Cho , Jason Doukas , Wade Naylor , A. S. Cornell

Recently, an exact rotating black hole solution in a parity-violating theory of gravity was obtained via a conformal transformation of the Kerr solution in general relativity, with parity-violating effects encoded in the conformal factor.…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Hiroaki W. H. Tahara , Hayato Motohashi , Kazufumi Takahashi , Vicharit Yingcharoenrat

Quasi-normal modes (QNMs) of a black hole (BH) are the eigen modes describing the dissipative oscillation of various fields in that spacetime, which can be intrinsically produced by the linear perturbation theory. With the discovery of the…

General Relativity and Quantum Cosmology · Physics 2022-12-02 Yuqian Zhao , Bing Sun , Zhan-Feng Mai , Zhoujian Cao

The ringdown signal following a black hole (BH) merger can be modeled as a superposition of BH quasinormal modes (QNMs), offering a clean setup for testing gravitational theories. In particular, detecting multiple QNMs enables consistency…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Soichiro Morisaki , Hayato Motohashi , Motoki Suzuki , Daiki Watarai

It is well established that the response of a black hole to a generic perturbation is characterized by a spectrum of damped resonances, called quasinormal modes; and that, in the limit of large angular momentum ($l \gg 1$), the quasinormal…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Sam R. Dolan
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