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Binary black holes with spins that are aligned with the orbital angular momentum do not precess. However, post-Newtonian calculations predict that "up-down" binaries, in which the spin of the heavier (lighter) black hole is aligned…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Vijay Varma , Matthew Mould , Davide Gerosa , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but non-zero orbital eccentricities. In this paper the quasi-equilibrium initial-data method is extended to allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Duncan A. Brown , Lawrence E. Kidder , Lee Lindblom , Geoffrey Lovelace , Mark A. Scheel

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano

Accurate modelling of black hole binaries is critical to achieve the science goals of gravitational-wave detectors. Modelling such configurations relies strongly on calibration to numerical-relativity (NR) simulations. Binaries on…

Post-Newtonian (PN) theory provides the analytic foundation for modeling the early inspiral of binary black holes. However, as an asymptotic series, successive PN orders do not necessarily improve agreement with the full nonlinear dynamics.…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Dongze Sun , Béatrice Bonga , Leo C. Stein , Guido Da Re

Gravitational waves from precessing black-hole binaries exhibit features that are absent in nonprecessing systems. The most prominent of these is a parity-violating asymmetry that beams energy and linear momentum preferentially along or…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Michael Boyle , Lawrence E. Kidder , Serguei Ossokine , Harald P. Pfeiffer

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

While current gravitational wave observations with ground based detectors have been consistent with compact binaries in quasi-circular orbits, eccentric binaries may be detectable by ground-based and space-based instruments in the near…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Blake Moore , Nicolás Yunes

Gravitational waves from coalescing binary black holes encode the evolution of their spins prior to merger. In the post-Newtonian regime and on the precession timescale, this evolution has one of three morphologies, with the spins either…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Daniele Trifirò , Richard O'Shaughnessy , Davide Gerosa , Emanuele Berti , Michael Kesden , Tyson Littenberg , Ulrich Sperhake

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

For black-hole binaries whose spins are (anti-) aligned with respect to the orbital angular momentum of the binary, we compute the frequency domain phasing coefficients including the quadratic-in-spin terms up to the third post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Chandra Kant Mishra , Aditya Kela , K. G. Arun , Guillaume Faye

We analyze the spherical harmonic mode amplitudes of quasicircular, nonprecessing binary black hole mergers using 275 numerical relativity simulations from the SXS, RIT, and MAYA catalogs. We construct fits using the leading-order…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Viviana A. Cáceres-Barbosa

Using a post-Newtonian diagnostic tool developed by Mora and Will, we examine numerically generated quasiequilibrium initial data sets that have been used in recently successful numerical evolutions of binary black holes through plunge,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Sai Iyer , Clifford M. Will

We present the first fully-nonlinear numerical study of the dynamics of highly spinning black-hole binaries. We evolve binaries from quasicircular orbits (as inferred from Post-Newtonian theory), and find that the last stages of the orbital…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Campanelli , C. O. Lousto , Y. Zlochower

There is a high level of interest in black hole-neutron star binaries, not only because their mergers may be detected by gravitational wave observatories in the coming years, but also because of the possibility that they could explain a…

High Energy Astrophysical Phenomena · Physics 2012-06-06 William E. East , Frans Pretorius , Branson C. Stephens

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

The inspiral of binary black holes is governed by gravitational radiation reaction at binary separations r < 1000 M, yet it is too computationally expensive to begin numerical-relativity simulations with initial separations r > 10 M.…

Astrophysics of Galaxies · Physics 2010-05-12 Michael Kesden , Ulrich Sperhake , Emanuele Berti

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