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The post-merger signal in binary black hole merger is described by linear, black-hole perturbation theory. Historically, this has been modeled using the dominant positive-frequency (corotating) fundamental mode. Recently, there has been a…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Arnab Dhani

It is possible to infer the mass and spin of the remnant black hole from binary black hole mergers by comparing the ringdown gravitational wave signal to results from studies of perturbed Kerr spacetimes. Typically these studies are based…

General Relativity and Quantum Cosmology · Physics 2020-01-13 Matthew Giesler , Maximiliano Isi , Mark Scheel , Saul Teukolsky

Using high-accuracy numerical relativity waveforms, we confirm the presence of numerous overtones of the $\ell=2$, $m=2$ quasinormal mode early in the ringdown of binary black hole mergers. We do this by demonstrating the stability of the…

Extracting quasinormal modes from compact binary mergers to perform black hole spectroscopy is one of the fundamental pillars in current and future strong-gravity tests. Among the most remarkable findings of recent works is that including a…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Peter James Nee , Sebastian H. Völkel , Harald P. Pfeiffer

Black hole (BH) oscillations known as quasi-normal modes (QNMs) are one of the most important gravitational wave (GW) sources. We propose that higher perturbative order of QNMs, generated by nonlinear gravitational interaction near the BHs,…

Astrophysics · Physics 2008-12-18 Kunihito Ioka , Hiroyuki Nakano

We propose two frequency-domain filters to analyze ringdown signals of binary black hole mergers. The first rational filter is constructed based on a set of (arbitrary) quasi-normal modes (QNMs) of the remnant black holes, whereas the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Sizheng Ma , Keefe Mitman , Ling Sun , Nils Deppe , François Hébert , Lawrence E. Kidder , Jordan Moxon , William Throwe , Nils L. Vu , Yanbei Chen

The ringdown of a perturbed black hole consists of a superposition of quasi-normal modes (QNMs), with complex frequencies determined by the black hole's mass and spin, while phases and amplitudes depend on binary parameters. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Koustav Chandra , Juan Calderón Bustillo

It is expected that all astrophysical black holes in equilibrium are well described by the Kerr solution. Moreover, any black hole far away from equilibrium, such as one initially formed in a compact binary merger or by the collapse of a…

General Relativity and Quantum Cosmology · Physics 2022-01-14 Pierre Mourier , Xisco Jiménez Forteza , Daniel Pook-Kolb , Badri Krishnan , Erik Schnetter

Validating the black-hole no-hair theorem with gravitational-wave observations of compact binary coalescences provides a compelling argument that the remnant object is indeed a black hole as described by the general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Swetha Bhagwat , Xisco Jimenez Forteza , Paolo Pani , Valeria Ferrari

During the post-merger regime of a binary black hole merger, the gravitational wave signal consists of a superposition of quasi-normal modes (QNMs) of the remnant black hole. It has been observed empirically, primarily through numerical…

General Relativity and Quantum Cosmology · Physics 2025-01-22 A. Ribes Metidieri , B. Bonga , B. Krishnan

Modelling the end point of binary black hole mergers is a cornerstone of modern gravitational-wave astronomy. Extracting multiple quasinormal mode frequencies from the ringdown signal allows the remnant black hole to be studied in…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Eliot Finch , Christopher J. Moore

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

Tests of the no-hair theorem using astrophysical black holes involve the detection of at least two quasi-normal modes (QNMs) in the gravitational wave emitted by a perturbed black hole. A detection of two modes -- the dominant, $(\ell, m,…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Alex Correia , Yi-Fan Wang , Julian Westerweck , Collin D. Capano

The black hole uniqueness and the no-hair theorems imply that the quasinormal spectrum of any astrophysical black hole is determined solely by its mass and spin. The countably infinite number of quasinormal modes of a Kerr black hole are…

General Relativity and Quantum Cosmology · Physics 2020-08-31 Xisco Jiménez Forteza , Swetha Bhagwat , Paolo Pani , Valeria Ferrari

Gravitational waves provide direct information about the nature of spacetime and the existence of black holes. The remnant of a binary black hole merger emits gravitational waves in the form of quasinormal modes, whose spectrum is known as…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Iara Ota

In this paper, we investigate the quasinormal mode (QNM) spectra for scalar perturbation over a quantum-corrected black hole (BH). The fundamental modes of this quantum-corrected BH exhibit two key properties. Firstly, there is a…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Huajie Gong , Shulan Li , Dan Zhang , Guoyang Fu , Jian-Pin Wu

In general relativity, when two black holes merge they produce a rotating (Kerr) black hole remnant. According to perturbation theory, the remnant emits "ringdown" radiation: a superposition of exponentials with characteristic complex…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Mark Ho-Yeuk Cheung , Emanuele Berti , Vishal Baibhav , Roberto Cotesta

Black hole spectroscopy is the program to measure the complex gravitational-wave frequencies of merger remnants, and to quantify their agreement with the characteristic frequencies of black holes computed at linear order in black hole…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Vishal Baibhav , Mark Ho-Yeuk Cheung , Emanuele Berti , Vitor Cardoso , Gregorio Carullo , Roberto Cotesta , Walter Del Pozzo , Francisco Duque

Optimal extraction of information from gravitational-wave observations of binary black-hole coalescences requires detailed knowledge of the waveforms. Current approaches for representing waveform information are based on spin-weighted…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Bernard J. Kelly , John G. Baker

In light of the current (and future) gravitational wave detections, more sensitive tests of general relativity can be devised. Black hole spectroscopy has long been proposed as a way to test the no-hair theorem, that is, how closely an…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Iara Ota , Cecilia Chirenti
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