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We present a novel approach to the numerical computation of quasi-normal modes, based on the first-order (in radial derivative) formulation of the equations of motion and using a matrix version of the continued fraction method. This…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Hugo Roussille , David Langlois , Karim Noui

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

We briefly review the analytical continuation method for determining quasinormal modes (QNMs) and the associated frequencies in open systems. We explore two exactly solvable cases based on the P\"oschl-Teller potential to show that the…

General Relativity and Quantum Cosmology · Physics 2025-08-13 M. G. Richarte , J. C. Fabris , A. Saa

The dynamics of relativistic stars and black holes are often studied in terms of the quasinormal modes (QNM's) of the Klein-Gordon (KG) equation with different effective potentials $V(x)$. In this paper we present a systematic study of the…

General Relativity and Quantum Cosmology · Physics 2011-09-09 E. S. C. Ching , P. T. Leung , W. M. Suen , K. Young

In this work, quasinormal modes (QNMs) of the Schwarzschild black hole are investigated by taking into account the quantum fluctuations. Gravitational and Dirac perturbations were considered for this case. The Regge-Wheeler gauge and the…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Mahamat Saleh , Bouetou Bouetou Thomas , Kofané Timoléon Crépin

Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Béatrice Bonga , Adam Pound

In this paper, the quasinormal modes of gravitational perturbation around some well-known regular black holes were evaluated by using the WKB approximation as well as the asymptotic iteration method. Through numerical calculation, we make a…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Chen Wu

We study gravitational perturbations of electrically charged black holes in (3+1)-dimensional Einstein-Born-Infeld gravity with a positive cosmological constant. For the axial perturbations, we obtain a set of decoupled Schrodinger-type…

High Energy Physics - Theory · Physics 2020-08-24 Chong Oh Lee , Jin Young Kim , Mu-In Park

We compute scalar quasinormal mode (QNM) frequencies in rotating black hole solutions of the most general class of higher-derivative gravity theories, to quartic order in the curvature, that reduce to General Relativity for weak fields and…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Pablo A. Cano , Kwinten Fransen , Thomas Hertog

We compute numerically the quasinormal modes of Kerr-Newman black holes in the scalar case, for which the perturbation equations are separable. Then we study different approximations to decouple electromagnetic and gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Kostas D. Kokkotas

We revisit the computation of quasinormal modes (QNMs) of the Kerr black hole using a numerical approach exploiting a representation of the Teukolsky equation as a $2D$ elliptic partial differential equation. By combining the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Jamil Assaad , Rodrigo Panosso Macedo

In this paper, we present a detailed study of axial gravitational perturbations of the regular black hole solution in asymptotically safe gravity, as proposed in \cite{Bonanno:2023rzk}. We analyze the quasinormal mode (QNM) spectrum of this…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Qi-Long Shi , Rui Wang , Wei Xiong , Peng-Cheng Li

We investigate the quasinormal modes (QNMs) of noncommutative geometry-inspired dirty black holes, focusing on both non-extremal and extremal configurations. These gravitational objects, characterized by smeared energy distributions within…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Davide Batic , Denys Dutykh , Zeinabou Ahmed Babou

We analyze the quasinormal modes (QNMs) of a recently obtained solution of a Schwarzschild black hole (BH) with corrections motivated by Loop Quantum Gravity (LQG). This spacetime is regular everywhere and presents the global structure of a…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Zeus S. Moreira , Haroldo C. D. Lima Junior , Luís C. B. Crispino , Carlos A. R. Herdeiro

The aim of this paper is to present a general way to calculate quasi-normal modes (QNM) of the Teukolsky equation for higher dimensional (d > 4) Kerr spacetime with compactified extra dimensions. In order to do so, we develop a formalism…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Mattia Villani

We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically anti-de Sitter black holes, with very general boundary conditions at infinity. We argue that for a time slicing regular at the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Claude M. Warnick

Quasi-Normal Modes (QNM) or ringdown phase of gravitational waves provide critical information about the structure of compact objects like Black Holes. Thus, QNMs can be a tool to test General Relativity (GR) and possible deviations from…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Soham Bhattacharyya , S. Shankaranarayanan

We obtain generally covariant operator-valued geodesic equations on a pseudo-Riemannian manifold $M$ as part of the construction of quantum geodesics on the algebra $D(M)$ of differential operators. Geodesic motion arises here as an…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Edwin Beggs , Shahn Majid

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

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