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We provide some considerations on the excitation of black hole quasinormal modes (QNMs) in different physical scenarios. Considering a simple model in which a stream of particles accretes onto a black hole, we show that resonant QNM…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Vitor Cardoso , Clifford M. Will

The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Zhongyang Zhang , Emanuele Berti , Vitor Cardoso

The ringdown of a perturbed black hole (BH) can be described as a superposition of quasinormal modes (QNMs), whose frequencies are determined by the spacetime geometry while their amplitudes depend also on the perturbing source. However,…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Alejandro Svyatkovskyy Kholyavka , Jose Antonio León Vega , Samuel Gómez Gómez , Xisco Jiménez Forteza , Sayak Datta

We elucidate that a distinctive resonant excitation between quasinormal modes (QNMs) of black holes emerges as a universal phenomenon at an avoided crossing near the exceptional point through high-precision numerical analysis and theory of…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Hayato Motohashi

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

While black hole perturbation theory predicts a rich quasi-normal mode structure, technical challenges have limited the numerical study of excitations to the fundamental, lowest order modes caused by the coalescence of black holes. Here, we…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Lionel London , James Healy , Deirdre Shoemaker

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

Distorted black holes radiate gravitational waves. In the so-called ringdown phase radiation is emitted in a discrete set of complex quasinormal frequencies, whose values depend only on the black hole's mass and angular momentum. Ringdown…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Vitor Cardoso

The characteristic oscillations of black holes, as described by their quasinormal mode (QNM) spectrum, play a fundamental role in testing general relativity with gravitational waves. The so-called parametrized QNM framework was introduced…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Spyros Thomopoulos , Sebastian H. Völkel , Harald P. Pfeiffer

Quasinormal mode (QNM) gravitational radiation from black holes is expected to be observed in a few years. A perturbative formula is derived for the shifts in both the real and the imaginary part of the QNM frequencies away from those of an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. T. Leung , Y. T. Liu , W. -M. Suen , C. Y. Tam , K. Young

Black-hole spectroscopy aims to infer the fundamental properties of black holes by analysing the spectrum of gravitational waves emitted as they settle into equilibrium. These resonances, known as quasinormal modes (QNMs), decay rapidly,…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Pietro Smaniotto , Leonardo Solidoro , Patrik Švančara , Sam Patrick , Maurício Richartz , Carlo F. Barenghi , Ruth Gregory , Silke Weinfurtner

This study delves into the existence of dark matter around supermassive black holes in galactic cores using a novel gravitational model. By analyzing gravitational waves emitted during the ringdown phase of black holes under different field…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Jie Liang , Dong Liu , Hao-Jie Lin , Zheng-Wen Long

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 recent work, we examined how different modes in the ringdown phase of a binary coalescence are excited as a function of the final plunge geometry. At least in the large mass ratio limit, we found a clean mapping between angles describing…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Halston Lim , Gaurav Khanna , Scott A. Hughes

Black hole quasinormal frequencies are complex numbers that encode information on how a black hole relaxes after it has been perturbed and depend on the features of the geometry and on the type of perturbations. On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonino Flachi , José P. S. Lemos

Black hole quasinormal modes (QNMs) can exhibit resonant excitations associated with avoided crossings in their complex frequency spectrum. Such resonance phenomena can serve as novel signatures for probing new physics, where additional…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Takuya Takahashi , Hayato Motohashi , Kazufumi Takahashi

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 present numerical results from three-dimensional evolutions of scalar perturbations of Kerr black holes. Our simulations make use of a high-order accurate multi-block code which naturally allows for fixed adaptivity and smooth inner…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ernst Nils Dorband , Emanuele Berti , Peter Diener , Erik Schnetter , Manuel Tiglio

Theoretical understanding of the characteristic oscillations of a perturbed black hole, also referred to as quasinormal modes (QNMs), is crucial to interpreting the late stage of binary black hole mergers that we now routinely observe in…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Rico K. L. Lo , Leart Sabani , Vitor Cardoso

We compute the spectrum of linearized gravitational excitations of black holes with substantial angular momentum in the presence of higher-derivative corrections to general relativity. We do so perturbatively to leading order in the…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pablo A. Cano , Kwinten Fransen , Thomas Hertog , Simon Maenaut
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