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We have used our new technique for fully numerical evolutions of orbiting black-hole binaries without excision to model the last orbit and merger of an equal-mass black-hole system. We track the trajectories of the individual apparent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Campanelli , C. O. Lousto , Y. Zlochower

The signal-to-noise ratios (SNRs) for quasi-circular binary black hole inspirals computed from restricted post-Newtonian waveforms are compared with those attained by more complete post-Newtonian signals, which are superpositions of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chris Van Den Broeck

We briefly discuss a method to construct a global, analytic, approximate spacetime for precessing, spinning binary black holes. The spacetime construction is broken into three parts: the inner zones are the spacetimes close to each black…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Hiroyuki Nakano , Brennan Ireland , Manuela Campanelli , Eric J. West

We compare waveforms and orbital dynamics from the first long-term, fully non-linear, numerical simulations of a generic black-hole binary configuration with post-Newtonian predictions. The binary has mass ratio q~0.8 with arbitrarily…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

We analyse an eleven-orbit inspiral of a non-spinning black-hole binary with mass ratio q=M1/M2=4. The numerically obtained gravitational waveforms are compared with post-Newtonian (PN) predictions including several sub-dominant multipoles…

General Relativity and Quantum Cosmology · Physics 2011-06-08 Ulrich Sperhake , Bernd Bruegmann , Doreen Mueller , Carlos F. Sopuerta

We construct an efficient frequency domain waveform for generic circular compact object binaries that include neutron stars. The orbital precession is solved on the radiation reaction timescale (and then transformed to the frequency…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Michael LaHaye , Huan Yang , Béatrice Bonga , Zhenwei Lyu

We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^\alpha, heuristically, the generator of time-translations in a corotating frame. Systems that are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 John L. Friedman , Koji Uryu , Masaru Shibata

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

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 perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

The quasi-stationary method for black hole binary inspiral is an approximation for studying strong field effects while suppressing radiation reaction. In this paper we use a nonlinear scalar field toy model (i) to explain the underlying…

General Relativity and Quantum Cosmology · Physics 2009-10-31 John T. Whelan , William Krivan , Richard Price

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

We present a new phenomenological gravitational waveform model for the inspiral and coalescence of non-precessing spinning black hole binaries. Our approach is based on a frequency domain matching of post-Newtonian inspiral waveforms with…

General Relativity and Quantum Cosmology · Physics 2015-03-17 L. Santamaria , F. Ohme , P. Ajith , B. Bruegmann , N. Dorband , M. Hannam , S. Husa , P. Moesta , D. Pollney , C. Reisswig , E. L. Robinson , J. Seiler , B. Krishnan

Binary black holes which are both eccentric and undergo precession remain unexplored in numerical simulations. We present simulations of such systems which cover about 50 orbits at comparatively high mass ratios 5 and 7. The configurations…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Adam G. M. Lewis , Aaron Zimmerman , Harald P. Pfeiffer

We construct new models of black hole-neutron star binaries in quasiequilibrium circular orbits by solving Einstein's constraint equations in the conformal thin-sandwich decomposition together with the relativistic equations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

The inspiral of a circular, non-precessing binary exhibits an approximate helical symmetry. The effects of eccentricity, precession, and radiation reaction break the exact symmetry. We estimate the failure of this symmetry using the flux of…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Aniket Khairnar , Leo C. Stein , Michael Boyle

Spin precession occurs in binary black holes whose spins are misaligned with the orbital angular momentum. Otherwise, the spin configuration is constant and the subsequent binary dynamics and gravitational-wave emission are much simpler. We…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Matthew Mould

In the post-Newtonian (PN) regime, the timescale on which the spins of binary black holes precess is much shorter than the radiation-reaction timescale on which the black holes inspiral to smaller separations. On the precession timescale,…

General Relativity and Quantum Cosmology · Physics 2017-08-21 Xinyu Zhao , Michael Kesden , Davide Gerosa

A particle orbiting a misaligned eccentric orbit binary undergoes nodal precession either around the binary angular momentum vector (a circulating orbit) or around a stationary inclination (a librating orbit). In the absence of general…

Earth and Planetary Astrophysics · Physics 2022-04-20 Stephen Lepp , Rebecca G. Martin , Anna C. Childs