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We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

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

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

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

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

We present an approximate metric for a binary black hole spacetime to construct initial data for numerical relativity. This metric is obtained by asymptotically matching a post-Newtonian metric for a binary system to a perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nicolas Yunes , Wolfgang Tichy , Benjamin J. Owen , Bernd Bruegmann

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 a semi-analytical binary black hole (BBH) metric approximation that models the entire evolution of the system from inspiral to merger. The metric is constructed as a boosted Kerr-Schild superposition following post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Luciano Combi , Sean M. Ressler

We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

We present the numerical code PRECESSION: a new open-source python module to study the dynamics of precessing black-hole binaries in the post-Newtonian regime. The code provides a comprehensive toolbox to (i) study the evolution of the…

High Energy Astrophysical Phenomena · Physics 2017-12-19 Davide Gerosa , Michael Kesden

Orbital eccentricity and spin precession are precious observables to infer the formation history of binary black holes with gravitational-wave data. We present a post-Newtonian, multi-timescale analysis of the binary dynamics able to…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Giulia Fumagalli , Davide Gerosa

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

The dynamics of precessing binary black holes (BBHs) in the post-Newtonian regime has a strong timescale hierarchy: the orbital timescale is very short compared to the spin-precession timescale which, in turn, is much shorter than the…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Davide Gerosa , Michael Kesden , Ulrich Sperhake , Emanuele Berti , Richard O'Shaughnessy

We model the overall shape of an accretion disc in a semi-detached binary system in which mass is transfered on to a spinning black hole the spin axis of which is misaligned with the orbital rotation axis. We assume the disc is in a steady…

High Energy Astrophysical Phenomena · Physics 2015-05-13 Rebecca G. Martin , J. E. Pringle , Christopher A. Tout

In General Relativity, the spacetimes of black holes have three fundamental properties: (i) they are the same, to lowest order in spin, as the metrics of stellar objects; (ii) they are independent of mass, when expressed in geometric units;…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Dimitrios Psaltis , Colm Talbot , Ethan Payne , Ilya Mandel

We explore how a recently developed analytical black-hole binary spacetime can be extended using numerical simulations to go beyond the slow-inspiral phase. The analytic spacetime solves the Einstein field equations approximately, with the…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Yosef Zlochower , Hiroyuki Nakano , Bruno C. Mundim , Manuela Campanelli , Scott Noble , Miguel Zilhao
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