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Related papers: Inspiraling black-hole binary spacetimes: Challeng…

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The orbital motion of inspiralling and coalescing black hole binaries can be investigated using a variety of approximation schemes and numerical methods within general relativity: post-Newtonian expansions, black hole perturbation theory,…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Alexandre Le Tiec

Reliable predictions of general relativity theory are extracted using approximation methods. Among these, the powerful post-Newtonian approximation provides us with our best insights into the problems of motion and gravitational radiation…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Luc Blanchet

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of particular relevance to the binary black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frans Pretorius

Black hole binaries on non-eccentric orbits form an important subclass of gravitational wave sources, but it is a non-trivial issue to construct numerical initial data with minimal initial eccentricity for numerical simulations. We compute…

General Relativity and Quantum Cosmology · Physics 2010-03-29 Benny Walther , Bernd Bruegmann , Doreen Mueller

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Marronetti , M. Huq , P. Laguna , L. Lehner , R. Matzner , D. Shoemaker , .

We present analytical and numerical progress on black-hole binary spin precession at second post-Newtonian order using multi-timescale methods. In addition to the commonly used effective spin which acts as a constant of motion, we exploit…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Davide Gerosa , Giulia Fumagalli , Matthew Mould , Giovanni Cavallotto , Diego Padilla Monroy , Daria Gangardt , Viola De Renzis

Spherically symmetric (1D) black-hole spacetimes are considered as a test for numerical relativity. A finite difference code, based in the hyperbolic structure of Einstein's equations with the harmonic slicing condition is presented.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Carles Bona , Joan Masso , Joan Stela

We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

We construct a closed-form, fully analytical 4-metric that approximately represents the spacetime evolution of non-precessing, spinning black hole binaries from infinite separations up to a few orbits prior to merger. We employ the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Louis Gallouin , Hiroyuki Nakano , Nicolas Yunes , Manuela Campanelli

We construct an approximate metric that represents the spacetime of spinning binary black holes (BBH) approaching merger. We build the metric as an analytical superposition of two Kerr metrics in harmonic coordinates, where we transform…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Luciano Combi , Federico G. Lopez Armengol , Manuela Campanelli , Brennan Ireland , Scott C. Noble , Hiroyuki Nakano , Dennis Bowen

General relativity predicts the gravitational wave signatures of coalescing binary black holes. Explicit waveform predictions for such systems, required for optimal analysis of observational data, have so far been achieved using the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , James R. van Meter , Sean T. McWilliams , Joan Centrella , Bernard J. Kelly

We study parameter estimation of supermassive black hole binary systems in the final stage of inspiral using the full post-Newtonian gravitational waveforms. We restrict our analysis to systems in circular orbit with negligible spins, in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miquel Trias , Alicia M. Sintes

Black holes (BHs) in an inspiraling compact binary system absorb the gravitational-wave (GW) energy and angular-momentum fluxes across their event horizons and this leads to the secular change in their masses and spins during the inspiral…

General Relativity and Quantum Cosmology · Physics 2023-05-19 Soichiro Isoyama , Hiroyuki Nakano

With the goal of taking a step toward the construction of astrophysically realistic initial data for numerical simulations of black holes, we for the first time derive a family of fully general relativistic initial data based on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Tichy , B. Bruegmann , M. Campanelli , P. Diener

As 2 black holes bound to each other in a close binary approach merger their inspiral time becomes shorter than the characteristic inflow time of surrounding orbiting matter. Using an innovative technique in which we represent the changing…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Scott C. Noble , Bruno C. Mundim , Hiroyuki Nakano , Julian H. Krolik , Manuela Campanelli , Yosef Zlochower , Nicolás Yunes

We construct approximate initial data for non-spinning black hole binary systems by asymptotically matching the 4-metrics of two tidally perturbed Schwarzschild solutions in isotropic coordinates to a resummed post-Newtonian 4-metric in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Nicolas Yunes , Wolfgang Tichy

In backgrounds with compact dimensions there may exist several phases of black objects including the black-hole and the black-string. The phase transition between them raises puzzles and touches fundamental issues such as topology change,…

High Energy Physics - Theory · Physics 2009-11-10 Barak Kol , Evgeny Sorkin , Tsvi Piran

Recent progress in numerical relativity now allows computation of the binary black hole merger, whereas post-Newtonian and perturbative techniques can be used to model the inspiral and ringdown phases. So far, most gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Lucia Santamaria , Badri Krishnan , John T. Whelan

The asymptotic nature of unbound binary-black-hole encounters provides a clean method for comparing different approaches for modeling the two-body problem in general relativity. In this work, we use numerical relativity simulations of…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Oliver Long , Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel