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The last decade has seen considerable interest in the quasi-normal frequencies [QNFs] of black holes (and even wormholes), both asymptotically flat and with cosmological horizons. There is wide agreement that the QNFs are often of the form…

General Relativity and Quantum Cosmology · Physics 2010-09-02 Jozef Skakala , Matt Visser

Black hole highly-damped quasi-normal frequencies (QNFs) are very often of the form (offset)} + i n (gap). We have investigated the genericity of this phenomenon for the Schwarzschild--deSitter (SdS) black hole by considering a model…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Jozef Skakala , Matt Visser

Highly-damped quasi-normal frequencies are very often of the form omega_n = (offset) + i n (gap). We investigate the genericity of this phenomenon by considering a model potential that is piecewise Eckart (piecewise Poeschl-Teller), and…

General Relativity and Quantum Cosmology · Physics 2010-09-02 Jozef Skakala , Matt Visser

Generalized pseudo-Hamiltonian normal forms (GPHNF) and an effective method of obtaining them are introduced for two-dimensional systems of autonomous ODEs with a Hamiltonian quasi-homogeneous unperturbed part of an arbitrary degree. The…

Dynamical Systems · Mathematics 2012-05-31 Arthur Vaganyan , Vladimir Basov

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

Full-wave numerical methods based on quasinormal modes (QNMs) offer valuable physical insights and computational efficiency for analyzing electromagnetic resonators. However, despite their advantages, many researchers in electromagnetism…

Optics · Physics 2026-05-01 Tong Wu , Philippe Lalanne

While Hod's conjecture is demonstrably restrictive, the link he observed between black hole (BH) area quantisation and the large overtone ($n$) limit of quasinormal frequencies (QNFs) motivated intense scrutiny of the regime, from which an…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Chun-Hung Chen , Hing-Tong Cho , Anna Chrysostomou , Alan S. Cornell

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

In this thesis, we present and apply the isomonodromy method (or isomonodromic method) to the study of quasinormal modes (QNMs), more precisely, we consider the analysis of modes that are associated with linear perturbations in two distinct…

High Energy Physics - Theory · Physics 2023-08-01 João Paulo Cavalcante

We study the quasi-normal modes (QNMs) of a family of generalized black bounces interpolating between regular black holes and traversable wormhole solutions according to a single extra parameter $a$. Firstly, working with a generic…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Albert Duran-Cabacés , Diego Rubiera-Garcia , Diego Sáez-Chillón Gómez

The existence of quasinormal modes (QNMs) for waves propagating on pure de Sitter space has been called into question in several works. We definitively prove the existence of quasinormal modes for massless and massive scalar fields in all…

General Relativity and Quantum Cosmology · Physics 2021-12-16 Peter Hintz , YuQing Xie

We study the quasinormal modes (QNMs) of charged scalar in the static spherically symmetric black hole background near the event and cosmological horizon. Starting with numerical analysis of the QNMs of black hole in the dRGT massive…

High Energy Physics - Theory · Physics 2019-04-10 Takol Tangphati , Supakchai Ponglertsakul , Piyabut Burikham

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

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

Generalized master equations (GMEs) -- time-local but generally neither trace-preserving nor Hermiticity-preserving -- are convenient tools to compute properties of the environment of an open or continuously monitored quantum system. A…

Quantum Physics · Physics 2026-02-27 Francesco Albarelli , Marco G. Genoni

Generic and significant regularities are shown to occur in the quasienergy spectra of the generalized quantum kicked particle for arbitrary quasimomentum, a quantity most relevant in atom-optics experimental realizations of this…

Chaotic Dynamics · Physics 2012-06-01 Itzhack Dana

We suggest an interpretation for the highly damped QNM frequencies of the spherically symmetric multi-horizon spacetimes (Reissner-Nordstrom, Schwarzschild-deSitter, Reissner-Nordstrom-deSitter) following Maggiore's proposal about the link…

General Relativity and Quantum Cosmology · Physics 2012-06-21 Jozef Skakala

By extending the mean-field Hamiltonian to include nonhermitian operators, the master equations for fermions and bosons can be derived. The derived equations reduce to the Markoff master equation in the low-density limit and to the…

Quantum Physics · Physics 2007-05-23 C. F. Huang , K. -N. Huang

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 investigate perturbative quasinormal-mode (QNM) shifts of black holes arising from fractional, nonlocal modifications to the wave operator. Starting from a scalar master equation corrected by a small fractional Laplacian term…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Anisur Rahaman
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