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Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and classification of the quasinormal spectra…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emanuele Berti , Vitor Cardoso , Andrei O. Starinets

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

It is known that a quasinormal mode (QNM) of a remnant black hole dominates a ringdown gravitational wave (GW) in a binary black hole (BBH) merger. To study properties of the QNMs, it is important to determine the time when the QNMs appear…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Kazuki Sakai , Ken-ichi Oohara , Hiroyuki Nakano , Masato Kaneyama , Hirotaka Takahashi

We develop an analytic eikonal description of perturbations for four-dimensional regular black holes in quasi-topological gravity. Using first-order Schutz--Will WKB together with a small-coupling expansion and a large-$\ell$ expansion, we…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Alexey Dubinsky

In modified theories of gravity, the potentials appearing in the Schr\"odinger-like equations that describe perturbations of non-rotating black holes are also modified. In this paper we ask: can these modifications be constrained with…

General Relativity and Quantum Cosmology · Physics 2023-05-15 Sebastian H. Völkel , Nicola Franchini , Enrico Barausse , Emanuele Berti

Detecting gravitational waves from coalescing compact binaries allows us to explore the dynamical, nonlinear regime of general relativity and constrain modifications to it. Some of the gravitational-wave events observed by the LIGO-Virgo…

General Relativity and Quantum Cosmology · Physics 2023-02-23 Hector O. Silva , Abhirup Ghosh , Alessandra Buonanno

We study gravitational perturbations of the Bonanno--Reuter quantum-corrected black hole arising in the asymptotic safety scenario, focusing on QNMs and grey-body factors. Assuming the RG parameter $\tilde{\omega}$ is fixed to its…

General Relativity and Quantum Cosmology · Physics 2025-07-11 S. V. Bolokhov , Milena Skvortsova

We formulate and calculate the second order quasi-normal modes (QNMs) of a Schwarzschild black hole (BH). Gravitational wave (GW) from a distorted BH, so called ringdown, is well understood as QNMs in general relativity. Since QNMs from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroyuki Nakano , Kunihito Ioka

We compute the spectrum of quasinormal frequencies of regular black holes obtained in the presence of Non-Linear Electrodynamics. In particular, we perturb the black hole with a minimally coupled massive scalar field, and we study the…

General Relativity and Quantum Cosmology · Physics 2019-05-24 Grigoris Panotopoulos , Ángel Rincón

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

We compute the high frequency quasi-normal modes (QNM) for scalar perturbations of spherically symmetric single horizon black-holes in $(D+2)$-space-time dimensions with generic curvature singularities and having metrics of the form $ds^2 =…

High Energy Physics - Theory · Physics 2010-11-23 Saurya Das , S. Shankaranarayanan

Ringdown gravitational waves of compact object binaries observed by ground-based gravitational-wave detectors encapsulate rich information to understand remnant objects after the merger and to test general relativity in the strong field. In…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Norichika Sago , Soichiro Isoyama , Hiroyuki Nakano

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

Recent studies have shown that a secondary potential barrier, forming a potential well outside the event horizon, can destabilize the Quasinormal Mode (QNM) spectrum of black holes. We find that spectral instability may persist even after…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Peng Wang , Tianshu Wu

In this paper, we investigate quasinormal modes (QNMs) and greybody factors within the framework of Symmergent gravity, an emergent gravity model with an $R + R^2$ curvature sector. Building on our previous work on static…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Dhruba Jyoti Gogoi , Beyhan Puliçe , Ali Övgün

In black hole perturbation formalism, the gravitational waveform is obtained by the convolution of the Green's function and the source term causing radiation emission. Hence, the ringdown properties, namely its start time, depend on both…

General Relativity and Quantum Cosmology · Physics 2024-07-09 Naritaka Oshita , Vitor Cardoso

Modifying black hole horizon can drastically change the spectrum of quasinormal modes. But if the modification is close enough to the horizon the ringdown signal remains almost unaltered, and well described by the quasinormal modes of the…

General Relativity and Quantum Cosmology · Physics 2020-05-12 Mehrdad Mirbabayi

We discuss energy conditions and quasinormal modes for scalar perturbations of regular charged black holes within the framework of General Relativity coupled to non-linear electrodynamics. The frequencies are computed numerically adopting…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Leonardo Balart , Grigoris Panotopoulos , Ángel Rincón

It is shown that the spectral amplitude of gravitational-wave (GW) ringdown of a Kerr black hole sourced by an extreme mass ratio merger can be modeled by the $\textit{greybody factor}$, which quantifies the scattering nature of the black…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Naritaka Oshita

We find the gravitational resonance (quasinormal) modes of the higher dimensional Schwarzschild and Reissner-Nordstrem black holes. The effect on the quasinormal behavior due to the presence of the $\lambda$ term is investigated. The QN…

High Energy Physics - Theory · Physics 2009-11-10 R. A. Konoplya