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Analogue models of black holes typically have collective excitations with a dispersion relation that breaks the effective Lorentz symmetry at high energy. We investigate the consequences of such Lorentz violations on the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Sam Patrick , Leonardo Solidoro

In this paper, we investigate the quasinormal modes of two covariant effective black holes characterized by the quantum parameter $\zeta$, charge $Q$, and cosmological constant $\Lambda$, under the scalar perturbation. By employing the…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Zhongzhinan Dong , Jinsong Yang

Recent studies based on the notion of black hole pseudospectrum indicated substantial instability of the fundamental and high-overtone quasinormal modes. Besides its theoretical novelty, the details about the migration of the quasinormal…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Shui-Fa Shen , Wei-Liang Qian , Kai Lin , Cheng-Gang Shao , Yu Pan

The quasinormal modes (QNM's) of gravitational systems modeled by the Klein-Gordon equation with effective potentials are studied in analogy to the QNM's of optical cavities. Conditions are given for the QNM's to form a complete set, i.e.,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 E. S. C. Ching , P. T. Leung , W. M. Suen , K. Young

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

We present a comprehensive analysis of the quasinormal modes (QNMs) of a massive scalar field in Schwarzschild spacetime using two complementary numerical techniques: the Hill-determinant method and Leaver continued-fraction method. Our…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Matheus F. S. Alves , Bruno P. Pônquio , L. G. Medeiros

The study of exact quasi-normal modes [QNMs], and their associated quasi-normal frequencies [QNFs], has had a long and convoluted history - replete with many rediscoveries of previously known results. In this article we shall collect and…

Mathematical Physics · Physics 2011-03-21 Petarpa Boonserm , Matt Visser

In this paper, we exhaustively investigate the quasinormal modes (QNMs) of a probe scalar field over a d-dimensional regular black hole (BH) characterized by the parameter A. The quasinormal frequencies (QNFs) exhibit different behaviors…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Zhongzhinan Dong , Dan Zhang , Guoyang Fu , Jian-Pin Wu

Quasi-normal mode (QNM) modeling is an invaluable tool for characterizing remnant black holes, studying strong gravity, and testing GR. Only recently have QNM studies begun to focus on multimode fitting to numerical relativity (NR) strain…

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

Exploring gravitational theories beyond general relativity (GR) with black hole (BH) spectroscopy requires accurate and flexible methods for computing their quasinormal mode (QNM) spectrum. A popular method of choice is the higher-order…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Ruijing Tang , Nicola Franchini , Sebastian H. Völkel , Emanuele Berti

Quasinormal modes (QNMs) are essential for understanding the stability and resonances of open systems, with increasing prominence in black hole physics. We present here the first study of QNMs of optical potentials. We show that solitons…

We compute asymptotic Quasi-Normal Mode (QNM) frequencies -- i.e. frequencies with a very large Imaginary part -- of a Loop Quantum Gravity inspired Black Hole. The deformations from the Schwarzschild Black Hole are encoded via two…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Clara Montagnon

We study gravitational quasinormal modes of the Hayward spacetime, a regular black-hole geometry that also admits an interpretation as an effective quantum-corrected solution within asymptotically safe gravity. Using both the higher-order…

General Relativity and Quantum Cosmology · Physics 2025-08-28 S. V. Bolokhov , Milena Skvortsova

We investigate the stability of QNM spectra and greybody factors in the Schwarzschild black hole by approximating the Regge-Wheeler potential with a piecewise parabolic form and treating the deviation as a perturbation. We find that QNM…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Libo Xie , Liang-Bi Wu , Zong-Kuan Guo

We present a detailed investigation of quasinormal modes (QNMs) for noncommutative geometry-inspired wormholes, focusing on scalar, electromagnetic, and vector-type gravitational perturbations. By employing the spectral method, the…

General Relativity and Quantum Cosmology · Physics 2025-04-04 Davide Batic , Denys Dutykh , Joudy Jamal Beek

In the presence of arbitrary three-dimensional linear media with material loss and amplification, we present an electromagnetic field quantization scheme for quasinormal modes (QNMs), extending previous work for lossy media [Franke et al.,…

Quantum Physics · Physics 2022-02-16 Sebastian Franke , Juanjuan Ren , Stephen Hughes

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

A quasimodal expansion method (QMEM) is developed to model and understand the scattering properties of arbitrary shaped two-dimensional (2-D) open structures. In contrast with the bounded case which have only discrete spectrum (real in the…

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