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The final ringdown phase in a coalescence process is a valuable laboratory to test General Relativity and potentially constrain additional degrees of freedom in the gravitational sector. We introduce here an effective description for…

High Energy Physics - Theory · Physics 2019-03-27 Gabriele Franciolini , Lam Hui , Riccardo Penco , Luca Santoni , Enrico Trincherini

We propose a novel, frequency-domain approach to the analysis of the gravitational-wave ringdown signal of binary black holes and the identification of quasinormal mode frequencies of the remnant. Our approach avoids the issues of spectral…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Eliot Finch , Christopher J. Moore

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 examine recent claims that evidence for an overtone in the ringdown of the GW150914 binary black hole merger was a result of noise anomalies. We cannot reproduce these claims, finding that our previous analysis of this event is robust to…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Maximiliano Isi , Will M. Farr

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

We perform the first nonlinear and self-consistent study of the merger and ringdown of a black hole mimicking object with stable light rings. To that end, we numerically solve the full Einstein-Klein-Gordon equations governing the head-on…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Nils Siemonsen

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

Gravitational-wave (GW) observations of binary black holes offer the best probes of the relativistic, strong-field regime of gravity. Gravitational radiation, in the leading order is quadrupolar. However, non-quadrupole (higher-order) modes…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Tousif Islam , Ajit Kumar Mehta , Abhirup Ghosh , Vijay Varma , Parameswaran Ajith , B. S. Sathyaprakash

In general relativity, the remnant object originating from an uncharged black hole merger is a Kerr black hole. The approach to this final state is reached through the emission of a late train of radiation known as the black hole ringdown.…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Xisco Jiménez Forteza , Pierre Mourier

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

How long after the merger of two black holes can one rely on linear perturbation theory, and how many quasinormal modes are in the ringdown? Such questions suggest that black hole spectroscopy suffers from systematic uncertainties that…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Sebastian H. Völkel , Arnab Dhani

Quadratic quasinormal modes encode fundamental properties of black hole spacetimes. They are also one of the key ingredients of nonlinearities of General Relativity in the ringdown stage of binary black hole coalescence. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Neev Khera , Sizheng Ma , Huan Yang

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

We construct a template to model the post-merger phase of a binary black hole coalescence in the presence of a remnant $U(1)$ charge. We include the quasi-normal modes typically dominant during a binary black hole coalescence, $(\ell,m,n) =…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Gregorio Carullo , Danny Laghi , Nathan K. Johnson-McDaniel , Walter Del Pozzo , Oscar J. C. Dias , Mahdi Godazgar , Jorge E. Santos

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

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

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…

Extraction of multiple quasinormal modes from ringdown gravitational waves emitted from a binary black hole coalescence is a touchstone to test whether a remnant black hole is described by the Kerr spacetime in general relativity. However,…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Kazuto Takahashi , Hayato Motohashi

One of the consequences of the black-hole "no-hair" theorem in general relativity (GR) is that gravitational radiation (quasi-normal modes) from a perturbed Kerr black hole is uniquely determined by its mass and spin. Thus, the spectrum of…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Siddharth Dhanpal , Abhirup Ghosh , Ajit Kumar Mehta , Parameswaran Ajith , B. S. Sathyaprakash

In a recent letter [N. V. Krishnendu et al., PRL 119, 091101 (2017)] we explored the possibility of probing the binary black hole nature of coalescing compact binaries, by measuring their spin-induced multipole moments, observed in advanced…

General Relativity and Quantum Cosmology · Physics 2019-03-13 N. V. Krishnendu , Chandra Kant Mishra , K. G. Arun
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