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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

We adapt a method of matching post-Newtonian and black-hole-perturbation theories on a timelike surface (which proved useful for understanding head-on black-hole-binary collisions) to treat equal-mass, inspiralling black-hole binaries. We…

General Relativity and Quantum Cosmology · Physics 2012-02-22 David A. Nichols , Yanbei Chen

The major source of ground-based gravitational wave detectors, the inspiral and merger of comparable mass binary black holes (BBH), consists of a slow quasicircular inspiral, a merger to form a single remnant hole, and the quasinormal…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Richard H. Price , Ritesh Bachhar , Gaurav Khanna

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

The ringdown phase of a black hole formed from the merger of two orbiting black holes is described by means of the close-limit (CL) approximation starting from second-post-Newtonian (2PN) initial conditions. The 2PN metric of point-particle…

General Relativity and Quantum Cosmology · Physics 2010-01-29 Alexandre Le Tiec , Luc Blanchet

The behavior of quasi-local black hole horizons in a binary black hole merger is studied numerically. We compute the horizon multipole moments, fluxes and other quantities on black hole horizons throughout the merger. These lead to a better…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Anshu Gupta , Badri Krishnan , Alex B. Nielsen , Erik Schnetter

The ringdown phase following a binary black hole merger is usually assumed to be well described by a linear superposition of complex exponentials (quasinormal modes). In the strong-field conditions typical of a binary black hole merger,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso , Jose A. Gonzalez , Ulrich Sperhake

Multiple approaches are required to study the evolution of black-hole binaries. While the post-Newtonian approximation is sufficient to describe the early inspiral (even from infinitely large orbital separation), only numerical relativity…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Luca Reali , Matthew Mould , Davide Gerosa , Vijay Varma

We present the first analytical inspiral-merger-ringdown gravitational waveforms from binary black holes (BBHs) with non-precessing spins, that is based on a description of the late-inspiral, merger and ringdown in full general relativity.…

General Relativity and Quantum Cosmology · Physics 2011-06-27 P. Ajith , M. Hannam , S. Husa , Y. Chen , B. Bruegmann , N. Dorband , D. Mueller , F. Ohme , D. Pollney , C. Reisswig , L. Santamaria , J. Seiler

A benchmark problem for numerical relativity has been the head-on collision of two black holes starting from the ``Misner initial data,'' a closed form momentarily stationary solution to the constraint equations with an adjustable closeness…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Peter Anninos , Richard H. Price , Jorge Pullin , Ed Seidel , Wai-Mo Suen

We present fully general relativistic simulations of the quasi-circular inspiral and merger of charged, non-spinning, binary black holes with charge-to-mass ratio $\lambda \le 0.3$. We discuss the key features that enabled long term and…

General Relativity and Quantum Cosmology · Physics 2022-08-12 Gabriele Bozzola , Vasileios Paschalidis

We report a degeneracy between the gravitational-wave signals from quasi-circular precessing black-hole mergers and those from extremely eccentric mergers, namely head-on collisions. Performing model selection on numerically simulated…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Juan Calderón Bustillo , Nicolas Sanchis-Gual , Alejandro Torres-Forné , José A. Font

We perform fully non-linear numerical simulations of charged-black-hole collisions, described by the Einstein-Maxwell equations, and contrast the results against analytic expectations. We focus on head-on collisions of non-spinning black…

General Relativity and Quantum Cosmology · Physics 2012-07-06 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

Event horizons are the defining physical features of black hole spacetimes, and are of considerable interest in studying black hole dynamics. Here, we reconsider three techniques to localise event horizons in numerical spacetimes:…

General Relativity and Quantum Cosmology · Physics 2009-02-15 Michael I. Cohen , Harald P. Pfeiffer , Mark A. Scheel

We develop a close-limit approximation to the head-on collision of two neutron stars similar to that used to treat the merger of black hole binaries . This approximation can serve as a useful benchmark test for future fully nonlinear…

General Relativity and Quantum Cosmology · Physics 2016-08-25 G. D. Allen , N. Andersson , K. D. Kokkotas , P. Laguna , J. A. Pullin , J. Ruoff

We study the inspiral, merger and ringdown of unequal mass black hole binaries by analyzing a catalogue of numerical simulations for seven different values of the mass ratio (from q=M2/M1=1 to q=4). We compare numerical and Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso , Jose A. Gonzalez , Ulrich Sperhake , Mark Hannam , Sascha Husa , Bernd Bruegmann

The gravitational-wave energy flux produced during the head-on infall and collision of two compact objects is calculated using two approaches: (i) a post-Newtonian method, carried to second post-Newtonian order beyond the quadrupole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Liliana E. Simone , Eric Poisson , Clifford M. Will

The ringdown phase of the binary black hole (BBH) merger provides a clean and direct probe of strong-field gravity and tests of the nature of black holes. The quasinormal mode (QNM) frequencies in modified gravity theories, as well as their…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Zexin Hu , Daniela D. Doneva , Ziming Wang , Vasileios Paschalidis , Gabriele Bozzola , Stoytcho S. Yazadjiev , Lijing Shao

We use null hypersurface techniques in a new approach to calculate the retarded waveform from a binary black hole merger in the close approximation. The process of removing ingoing radiation from the system leads to two notable features in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sascha Husa , Yosef Zlochower , Roberto Gomez , Jeffrey Winicour

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
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