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Next-generation gravitational wave detectors such as the Einstein Telescope and Cosmic Explorer will have increased sensitivity and observing volumes, enabling unprecedented precision in parameter estimation. However, this enhanced…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Veome Kapil , Luca Reali , Roberto Cotesta , Emanuele Berti

The quasinormal mode spectrum of black holes plays a crucial role in the modelling of post-merger ringdown signals. However, the spectrum is extremely sensitive to small deformations of the system and describes the linear response only in a…

General Relativity and Quantum Cosmology · Physics 2024-12-12 Romeo Felice Rosato , Kyriakos Destounis , Paolo Pani

Gravitational waves emitted by a ringing black hole allow us to perform precision tests of general relativity in the strong field regime. With improvements to our current gravitational wave detectors and upcoming next-generation detectors,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Costantino Pacilio , Swetha Bhagwat , Roberto Cotesta

The laser-interferometer space antenna (LISA) will be launched in the mid 2030s. It promises to observe the coalescence of massive black-hole (BH) binaries with signal-to-noise ratios (SNRs) reaching thousands. Crucially, it will detect…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Alexandre Toubiana , Lorenzo Pompili , Alessandra Buonanno , Jonathan R. Gair , Michael L. Katz

Measuring quasinormal modes (QNMs) during the ringdown phase of binary black hole coalescences provides key insights into merger dynamics and enables tests of the no-hair theorem. The QNM rational filter has recently been introduced as a…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Neil Lu , Sizheng Ma , Ornella J. Piccinni , Ling Sun , Eliot Finch

Gravitational radiation from a slightly distorted black hole with ringdown waveform is well understood in general relativity. It provides a probe for direct observation of black holes and determination of their physical parameters, masses…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Yoshiki Tsunesada , Nobuyuki Kanda , Hiroyuki Nakano , Daisuke Tatsumi , Masaki Ando , Misao Sasaki , Hideyuki Tagoshi , Hirotaka Takahashi

A perturbed black hole rings down by emitting gravitational waves in tones with specific frequencies and durations. Such tones encode prized information about the geometry of the source spacetime and the fundamental nature of gravity,…

General Relativity and Quantum Cosmology · Physics 2021-07-15 Maximiliano Isi , Will M. Farr

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

Newly formed black holes are expected to emit characteristic radiation in the form of quasi-normal modes, called ringdown waves, with discrete frequencies. LISA should be able to detect the ringdown waves emitted by oscillating supermassive…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso , Clifford M. Will

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

The ringdown is the late part of the post-merger signature emitted during the coalescence of two black holes and comprises of a superposition of quasi-normal-modes. Within general relativity, because of the no-hair theorems, the frequencies…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Swetha Bhagwat , Miriam Cabero , Collin D. Capano , Badri Krishnan , Duncan A. Brown

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…

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

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

In this Reply we include the corrections suggested in the Comment [Phys. Rev. Lett. 131, 169001]. We show that their impact on our results is small, and that the overall conclusion of the Article [Phys. Rev. Lett. 129, 111102] are robust.…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Gregorio Carullo , Roberto Cotesta , Emanuele Berti , Vitor Cardoso

Gravitational-wave (GW) observations of binary black-hole (BBH) coalescences are expected to address outstanding questions in astrophysics, cosmology, and fundamental physics. Realizing the full discovery potential of upcoming…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Arnab Dhani , Sebastian H. Völkel , Alessandra Buonanno , Hector Estelles , Jonathan Gair , Harald P. Pfeiffer , Lorenzo Pompili , Alexandre Toubiana

Black hole (BH) spectroscopy has emerged as a powerful approach to extract spacetime information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) spectral instability under high wave-number perturbations has been…

General Relativity and Quantum Cosmology · Physics 2022-06-08 José Luis Jaramillo , Rodrigo Panosso Macedo , Lamis Al Sheikh

Gravitational wave models are used to infer the properties of black holes in merging binaries from the observed gravitational wave signals through Bayesian inference. Although we have access to a large collection of signal models that are…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Charlie Hoy

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

Quasinormal modes (QNMs) are usually characterized by their time dependence; oscillations at specific frequencies predicted by black hole (BH) perturbation theory. QNMs are routinely identified in the ringdown of numerical relativity…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Richard Dyer , Christopher J. Moore