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We study quasinormal modes (QNMs) of uncharged Grumiller black hole (GBH). This massive BH has a Rindler acceleration $a$, and hence it is also called Rindler modified Schwarzschild BH. After reducing the radial equation of the massless…

General Relativity and Quantum Cosmology · Physics 2014-05-22 I. Sakalli , S. F. Mirekhtiary

We provide strong evidence that, up to $99.999\%$ of extremality, Kerr-Newman black holes (KN BHs) are linear mode stable within Einstein-Maxwell theory. We derive and solve, numerically, a coupled system of two PDEs for two gauge invariant…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Oscar J. C. Dias , Mahdi Godazgar , Jorge E. Santos

We develop a new method for calculation of quasi-normal modes of black holes, when the effective potential, which governs black hole perturbations, is known only numerically in some region near the black hole. This method can be applied to…

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

We investigate quasinormal modes (QNMs) and Hawking radiation of a Reissner-Nordstr\"om black hole sur-rounded by quintessence. The Wentzel-Kramers-Brillouin (WKB) method is used to evaluate the QNMs and the rate of radiation. The results…

General Relativity and Quantum Cosmology · Physics 2016-04-11 Mahamat Saleh , Bouetou Bouetou Thomas , Kofane Timoleon Crepin

We analytically determine the quasinormal mode (QNM) frequencies of a black hole with quadrupole moment in the eikonal limit using the light-ring method. The generalized black holes that are discussed in this work possess arbitrary…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Alireza Allahyari , Hassan Firouzjahi , Bahram Mashhoon

The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shigefumi Naka , Haruki Toyoda

In this paper, we analyze a substructuring type algorithm for the Cahn-Hilliard (CH) equation. Being a nonlinear equation, it is of great importance to develop efficient numerical schemes for investigating the solution behaviour of the CH…

Numerical Analysis · Mathematics 2021-07-09 Gobinda Garai

We present a new method for determining the frequencies and wavefunctions of black hole quasinormal modes (QNMs) and Regge poles. The key idea is a novel ansatz for the wavefunction, which relates the high-$l$ wavefunctions to null…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Sam R. Dolan , Adrian C. Ottewill

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

This paper explores the Kerr-Schild double copy, a duality relating gravity and electromagnetism. We show how Einstein's vacuum solutions in four dimensions can be converted into Maxwell's solutions via a double copy procedure, employing…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Wen-Xiang Chen , Yao-Guang Zheng

We study the quasi-normal modes of a massless scalar field in a general sub-extreme Kerr back- ground by exploiting the hidden SL(2, R) x SL(2, R) x SO(3) symmetry of the subtracted geometry approximation. This faithfully models the near…

General Relativity and Quantum Cosmology · Physics 2014-04-02 M. Cvetic , G. W. Gibbons

We calculate the quasinormal modes (QNM) frequencies of a test massless scalar field and an electromagnetic field around static black holes in $f(T)$ gravity. Focusing on quadratic $f(T)$ modifications, which is a good approximation for…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Yaqi Zhao , Xin Ren , Amara Ilyas , Emmanuel N. Saridakis , Yi-Fu Cai

This article outlines our derivation of the second order perturbations to a Schwarzschild black hole, highlighting our use of, and necessary reliance on, computer algebra. The particular perturbation scenario that is presented here is the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 George Davies

We formulate N-fold supersymmetry in quantum mechanical matrix models. As an example, we construct general two-by-two Hermitian matrix 2-fold supersymmetric quantum mechanical systems. We find that there are two inequivalent such systems,…

Mathematical Physics · Physics 2012-04-09 Toshiaki Tanaka

We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. By means of a…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Davide Batic , N. G. Kelkar , Marek Nowakowski , Karlus Redway

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

We obtain an analytical expression for the electromagnetic quasinormal spectrum of the higher-dimensional nearly-extremal Schwarzschild-de Sitter black hole. The WKB method is used to verify the results, and a comparison with known results…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Grigoris Panotopoulos

A method is introduced for solving Einstein's equations using two distinct coordinate systems. The coordinate basis vectors associated with one system are used to project out components of the metric and other fields, in analogy with the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mark A. Scheel , Harald P. Pfeiffer , Lee Lindblom , Lawrence E. Kidder , Oliver Rinne , Saul A. Teukolsky

The possibility that the asymptotic quasi-normal mode (QNM) frequencies can be used to obtain the Bekenstein-Hawking entropy for the Schwarzschild black hole -- commonly referred to as Hod's conjecture -- has received considerable…

High Energy Physics - Theory · Physics 2009-11-11 Archisman Ghosh , S. Shankaranarayanan , Saurya Das

The recently reported compactified hyperboloidal method has found wide use in the numerical computation of quasinormal modes, with implications for fields as diverse as gravitational physics and optics. We extend this intrinsically…

Computational Physics · Physics 2024-09-05 Christopher Burgess , Friedrich Koenig
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