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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…

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

Using gravitational waves to probe the geometry of the ringing remnant black hole formed in a binary black hole coalescence is a well-established way to test Einstein's theory of general relativity. However, doing so requires knowledge of…

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

We present a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin vectors, including the contributions of harmonics beyond the fundamental mode. This…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Sean T. McWilliams

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

We develop new strategies to build numerical relativity surrogate models for eccentric binary black hole systems, which are expected to play an increasingly important role in current and future gravitational-wave detectors. We introduce a…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Tousif Islam , Vijay Varma , Jackie Lodman , Scott E. Field , Gaurav Khanna , Mark A. Scheel , Harald P. Pfeiffer , Davide Gerosa , Lawrence E. Kidder

We have performed an extensive numerical study of coalescing black-hole binaries to understand the gravitational-wave spectrum of quasi-normal modes excited in the merged black hole. Remarkably, we find that the masses and spins of the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Ioannis Kamaretsos , Mark Hannam , B. Sathyaprakash

The coalescence of two black holes generates gravitational waves that carry detailed information about the properties of those black holes and their binary configuration. The final coalescence cycles are in the form of a {\it ringdown}: a…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Scott A. Hughes , Anuj Apte , Gaurav Khanna , Halston Lim

We present a simple formula for the effective ringdown frequencies of the gravitational-wave signal of a precessing black-hole binary in the co-precessing frame. This formula requires only knowledge of the quasi-normal mode frequencies of…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Eleanor Hamilton , Lionel London , Mark Hannam

Merging binary black holes exhibit a ringdown phase in which they primarily emit gravitational waves in the shape of damped sinusoids corresponding to quasi-normal modes of the Kerr remnant. In general, each mode carries four degrees of…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Nicole Khusid , Will Farr , Max Isi

We conduct a descriptive analysis of the multipolar structure of gravitational-radiation waveforms from equal-mass aligned-spin mergers, following an approach first presented in the complementary context of nonspinning black holes of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Bernard J. Kelly , John G. Baker , William D. Boggs , Sean T. McWilliams , Joan Centrella

The ringdown signal emitted during a binary black hole coalescence can be modeled as a linear superposition of the characteristic damped modes of the remnant black hole that get excited during the merger phase. While checking the…

General Relativity and Quantum Cosmology · Physics 2022-11-17 Xisco Jiménez Forteza , Swetha Bhagwat , Sumit Kumar , Paolo Pani

A perturbed black hole emits gravitational radiation, usually termed the ringdown signal, whose frequency and time-constant depends on the mass and spin of the black hole. I investigate the case of a binary black hole merger resulting from…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Ioannis Kamaretsos

Only numerical relativity simulations can capture the full complexities of binary black hole mergers. These simulations, however, are prohibitively expensive for direct data analysis applications such as parameter estimation. We present two…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Vijay Varma , Scott E. Field , Mark A. Scheel , Jonathan Blackman , Davide Gerosa , Leo C. Stein , Lawrence E. Kidder , Harald P. Pfeiffer

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

The ringdown gravitational wave signal arising e.g., in the final stage of a black hole binary merger, contains important information about the properties of the remnant, and can potentially be used to perform clean tests of general…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Taillte May , Sizheng Ma , Justin L. Ripley , William E. East

We propose a new way of analyzing, and analytically representing, the ringdown part of the gravitational wave signal emitted by coalescing black hole binaries.By contrast with the usual {\it linear} decomposition of the multipolar complex…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thibault Damour , Alessandro Nagar

The gravitational wave strain emitted by a perturbed black hole (BH) ringing down is typically modeled analytically using first-order BH perturbation theory. In this Letter we show that second-order effects are necessary for modeling…

The remnant of a black hole binary merger settles into a stationary configuration by "ringing down" through the emission of gravitational waves that consist of a superposition of damped exponentials with discrete complex frequencies - the…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Matteo Della Rocca , Laura Pezzella , Emanuele Berti , Leonardo Gualtieri , Andrea Maselli