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The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild-anti-de Sitter (SAdS) black hole is investigated by using Horowitz-Hubeny approach. We find that both the real and the imaginary parts…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiliang Jing

The spherically symmetric deformation of the Schwarzschild solution owing to the quantum corrections to gravity is known as Kazakov-Solodukhin black-hole metric. Neglecting non-spherical deformations of the background the problem was solved…

General Relativity and Quantum Cosmology · Physics 2020-03-20 R. A. Konoplya

Quasinormal modes of rapidly rotating black holes are crucial in understanding the ringdown phase after a merger. While for Kerr black holes these modes have been known for a long time, their calculation has remained a challenge in…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

There is an apparent discrepancy in the literature with regard to the quasinormal mode frequencies of Schwarzschild-de Sitter black holes in the degenerate-horizon limit. On the one hand, a Poschl-Teller-inspired method predicts that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. J. M. Medved , Damien Martin

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

We study quasinormal modes related to gravitational and electromagnetic perturbations of spherically symmetric charged black holes in nonlinear electrodynamics. Beyond the linear Maxwell electrodynamics, we consider a class of Lagrangian…

General Relativity and Quantum Cosmology · Physics 2022-02-07 Kimihiro Nomura , Daisuke Yoshida

A new algorithm for computing the accurate values of quasinormal frequencies of extremal Reissner-Nordstr\"{o}m black holes is presented. The numerically computed values are consistent with the values earlier obtained by Leaver and those…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Hisashi Onozawa , Takashi Mishima , Takashi Okamura , Hideki Ishihara

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

There has been some recent speculation that a connection may exist between the quasinormal-mode spectra of highly damped black holes and the fundamental theory of quantum gravity. This notion follows from a conjecture by Hod that the real…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Joanne Kettner , Gabor Kunstatter , A. J. M. Medved

Quasinormal modes in the high frequency (eikonal) regime can be obtained analytically as the Mashhoon-Will-Schiutz WKB formula is exact in this case. This regime is interesting because of the correspondence between eikonal quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2019-09-04 M. S. Churilova

We present a comparison of different multigrid approaches for the solution of systems arising from high-order continuous finite element discretizations of elliptic partial differential equations on complex geometries. We consider the…

Numerical Analysis · Mathematics 2015-03-09 Hari Sundar , Georg Stadler , George Biros

From black hole perturbation theory, quasi-normal modes (QNMs) in spherically symmetric AdS black hole spacetimes are usually studied with the Horowitz and Hubeny methods [1] by imposing the Dirichlet or vanishing energy flux boundary…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Chun-Hung Chen , Hing-Tong Cho , Alan S. Cornell

We study characteristic (quasinormal) modes of a $D$-dimensional Schwarzshild black hole. It proves out that the real parts of the complex quasinormal modes, representing the real oscillation frequencies, are proportional to the product of…

General Relativity and Quantum Cosmology · Physics 2018-04-04 R. A. Konoplya

In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a charged black hole in presence of quintessence. The result shows that the shadow radius decreases with the increase of the electric charge. The…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Chuanhong Gao , Deyou Chen , Chengye Yu

Understanding the physical significance and spectral stability of black hole quasinormal modes is fundamental to high-precision spectroscopy with future gravitational wave detectors. Inspired by Mashhoon's idea of relating quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Sebastian H. Völkel

The eikonal limit of black hole quasinormal modes (the large multipole limit $\ell \gg 1$) can be realized geometrically as a next-to-leading order solution to the geometric optics approximation, and also as linear fluctuations about the…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Bruno Bucciotti , Vitor Cardoso , Adrien Kuntz , David Pereñiguez , Jaime Redondo-Yuste

Quasinormal modes are excited during the ringdown phase of black holes after merger. Determination of quasinormal modes of rapidly rotating black holes in alternative theories of gravity has remained a challenge for a long time. Here we…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

Much of our physical intuition about black hole quasinormal modes in general relativity comes from the eikonal/geometric optics approximation. According to the well-established eikonal model, the fundamental quasinormal mode represents…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Kostas Glampedakis , Hector O. Silva

We study odd-parity perturbations about static and spherically symmetric black hole solutions with a linearly time-dependent scalar field in higher-order scalar-tensor theories. In particular, we consider stealth Schwarzschild and stealth…

General Relativity and Quantum Cosmology · Physics 2024-03-01 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

We study the asymptotic behavior of parametrized black hole quasinormal modes (QNMs) in the high-overtone limit. To gain insights into their analytical structure, we apply the exact WKB method, which was recently developed by the same…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita