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The detection and subsequent inference of binary black hole signals rely heavily on the accuracy of the waveform model employed. In the highly non-linear, dynamic, and strong-field regime near merger, these waveforms can only be accurately…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Alireza Rashti , Rossella Gamba , Koustav Chandra , David Radice , Boris Daszuta , William Cook , Sebastiano Bernuzzi

The ringdown phase of a binary black-hole merger provides a clean probe of strong-field gravity, as it can be modeled with minimal assumptions. The quasi-normal-mode frequencies encode the mass and spin of the Kerr black-hole remnant, while…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Chiara Anselmo , Costantino Pacilio , Davide Gerosa

It is known that a quasinormal mode (QNM) of a remnant black hole dominates a ringdown gravitational wave (GW) in a binary black hole (BBH) merger. To study properties of the QNMs, it is important to determine the time when the QNMs appear…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Kazuki Sakai , Ken-ichi Oohara , Hiroyuki Nakano , Masato Kaneyama , Hirotaka Takahashi

We provide the most complete analysis so far of quasinormal modes of rotating black holes in a general higher-derivative extension of Einstein's theory. By finding the corrections to the Teukolsky equation and expressing them in a simple…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Pablo A. Cano , Lodovico Capuano , Nicola Franchini , Simon Maenaut , Sebastian H. Völkel

The ringdown phase of a gravitational wave signal from a binary black hole merger offers a unique laboratory for testing general relativity in the strong-field regime and probing the properties of the final remnant black hole. In this…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Hai-Tian Wang , Shao-Peng Tang , Peng-Cheng Li , Yi-Zhong Fan

In linear perturbation theory, the ringdown of a gravitational wave (GW) signal is described by a linear combination of quasinormal modes (QNMs). Detecting QNMs from GW signals is a promising way to test GR, central to the developing field…

We calculate analytically the transmission and reflection amplitudes for waves incident on a rotating black hole in d=4, analytically continued to asymptotically large, nearly imaginary frequency. These amplitudes determine the asymptotic…

High Energy Physics - Theory · Physics 2008-11-26 Uri Keshet , Andrew Neitzke

The ringdown (RD) phase of gravitational waves is of prime interest for testing general relativity (GR). The modelling of the linear quasi-normal modes (QNMs) within the Kerr spectrum -- or with agnostic parameterized deviations to that GR…

General Relativity and Quantum Cosmology · Physics 2025-09-08 Yi Qiu , Xisco Jiménez Forteza , Pierre Mourier

We present numerically-informed closed-form expressions for the dominant $(\ell,m)=(2,2)$ waveform harmonic of the post-merger emission from mergers of non-spinning binary black holes with comparable masses on highly eccentric orbits. Using…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Nishkal Rao , Gregorio Carullo

We present the results of 61 new simulations of nonprecessing spinning black hole binaries with mass ratios $q=m_1/m_2$ in the range $1/3\leq q\leq1$ and individual spins covering the parameter space $-0.85\leq\alpha_{1,2}\leq0.85$. We…

General Relativity and Quantum Cosmology · Physics 2017-03-08 James Healy , Carlos O. Lousto

Gravitational waves from comparable-mass binary-black-hole mergers are often described in terms of three stages: inspiral, merger and ringdown. Post-Newtonian and black-hole perturbation theories are used to model the inspiral and ringdown…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Nur E. M. Rifat , David A. Nichols , Kent Yagi

The "ringdown" radiation emitted by oscillating black holes has great scientific potential. By carefully predicting the frequencies and amplitudes of black hole quasinormal modes and comparing them with gravitational-wave data from compact…

This study investigates the quasinormal modes of Kerr-Newman-de Sitter black holes for massless spin particles using the unified equation. We derive analytical expressions for both the quasinormal mode frequencies and the radial wave…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Zhong-Heng Li

Within the effective field theory approach to gravity, deviations from general relativity can be systematically described by higher-curvature operators. However, computing the resulting corrections to black hole quasinormal mode spectra…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Tom van der Steen , Simon Maenaut , Stef J. B. Husken , Pedro G. S. Fernandes , Maxim D. Jockwer , Vitor Cardoso , Thomas Hertog , Tjonnie G. F. Li

Dense environments hosting compact binary mergers can leave an imprint on the gravitational-wave emission which, in turn, can be used to identify the characteristics of the environment. To demonstrate such scenario, we consider a simple…

General Relativity and Quantum Cosmology · Physics 2024-02-19 Samson H. W. Leong , Juan Calderón Bustillo , Miguel Gracia-Linares , Pablo Laguna

We report evidence for nonlinear modes in the ringdown stage of the gravitational waveform produced by the merger of two comparable-mass black holes. We consider both the coalescence of black hole binaries in quasicircular orbits and…

The quasinormal modes of black holes (BHs) in the large-angular-momentum limit can be computed within the eikonal approximation. This approximation is often extrapolated to low angular momentum to obtain a rough estimate of the dominant…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Paolo Pani , Andrea P. Sanna

Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Davide Perrone , Thomas Barreira , Alex Kehagias , Antonio Riotto

We present a novel approach, $\textit{Metric pErTuRbations wIth speCtral methodS}$ (METRICS), to calculate the gravitational metric perturbations and the quasinormal-mode frequencies of rotating black holes of any spin without decoupling…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

We present results obtained by scattering a scalar field off the curved background of a coalescing binary black hole system. A massless scalar field is evolved on a set of fixed backgrounds, each provided by a spatial hypersurface generated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eloisa Bentivegna , Deirdre M. Shoemaker , Ian Hinder , Frank Herrmann
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