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The most general bound binary black hole (BBH) system has an eccentric orbit and precessing spins. The detection of such a system with significant eccentricity close to the merger would be a clear signature of dynamical formation. In order…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Khun Sang Phukon , Nathan K. Johnson-McDaniel , Amitesh Singh , Anuradha Gupta

We analyze a new numerical relativity dataset of spinning but nonprecessing binary black holes on eccentric orbits, with eccentricities from approximately $0.1$ to $0.5$, with dimensionless spins up to $0.75$ included at mass ratios…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten , Héctor Estellés , Cecilio García-Quirós , Maite Mateu-Lucena , Marta Colleoni , Rafel Jaume

We present a new numerical code developed for the evolution of binary black-hole spacetimes using different initial data and evolution techniques. The code is demonstrated to produce state-of-the-art simulations of orbiting and inspiralling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ulrich Sperhake

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

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

We make a comparison between results from numerically generated, quasi-equilibrium configurations of compact binary systems of black holes in close orbits, and results from the post-Newtonian approximation. The post-Newtonian results are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thierry Mora , Clifford M. Will

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

High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m^2=0.43757 \pm…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Tony Chu , Harald P. Pfeiffer , Mark A. Scheel

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

Binary black-hole systems are expected to be important sources of gravitational waves for upcoming gravitational-wave detectors. If the spins are not colinear with each other or with the orbital angular momentum, these systems exhibit…

General Relativity and Quantum Cosmology · Physics 2016-08-07 Serguei Ossokine , Michael Boyle , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Béla Szilágyi

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 preliminary results from self-consistent, high resolution direct {\it N}-body simulations of massive black hole binaries in mergers of galactic nuclei. The dynamics of the black hole binary includes the full Post-Newtonian…

Astrophysics · Physics 2011-07-19 Miguel Preto , Ingo Berentzen , Peter Berczik , David Merritt , Rainer Spurzem

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 compare results from numerical simulations of spinning binaries in the "orbital hangup" case, where the binary completes at least nine orbits before merger, with post-Newtonian results using the approximants TaylorT1, T4 and Et. We find…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Hannam , Sascha Husa , Bernd Brügmann , Achamveedu Gopakumar

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

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 simple procedures to construct quasi-circular initial data for numerical evolutions of binary black hole spacetimes. Our method consists of using Post-Newtonian theory in three ways: first to provide an initial guess for the…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten

This paper studies the formation and evolution of binary supermassive black holes (SMBHs) in rotating galactic nuclei, focusing on the role of stellar dynamics. We present the first N-body simulations that follow the evolution of the SMBHs…

Astrophysics · Physics 2011-02-11 Ingo Berentzen , Miguel Preto , Peter Berczik , David Merritt , Rainer Spurzem

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

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