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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

We give a unified description of the flip-flop effect in spinning binary black holes and the anti-alignment instability in terms of real and imaginary flip-flop frequencies. We find that this instability is only effective for mass ratios…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Carlos O. Lousto , James Healy

Based on the consideration of potential energy of the di-black-hole as a function of mass asymmetry (transfer) collective coordinate, the possibility of matter transfer between the black holes in a binary system is investigated. The…

Astrophysics of Galaxies · Physics 2020-12-17 G. G. Adamian , N. V. Antonenko , H. Lenske , V. V. Sargsyan

In this work we study the dynamics of spinning binary black hole systems in the strong field regime. For this purpose we extract from numerical relativity simulations the binding energy, specific orbital angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Serguei Ossokine , Tim Dietrich , Evan Foley , Reza Katebi , Geoffrey Lovelace

We explore different gauge choices in the moving puncture formulation in order to improve the accuracy of a linear momentum measure evaluated on the horizon of the remnant black hole produced by the merger of a binary. In particular,…

General Relativity and Quantum Cosmology · Physics 2020-07-22 James Healy , Carlos O. Lousto , Nicole Rosato

We present techniques for long-term, stable, and accurate evolutions of multiple-black-hole spacetimes using the `moving puncture' approach with fourth- and eighth-order finite difference stencils. We use these techniques to explore…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Yosef Zlochower

We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

When simulating the inspiral and coalescence of a binary black-hole system, special care needs to be taken in handling the singularities. Two main techniques are used in numerical-relativity simulations: A first and more traditional one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan Thornburg , Peter Diener , Denis Pollney , Luciano Rezzolla , Erik Schnetter , Ed Seidel , Ryoji Takahashi

In shift-symmetric Einstein-scalar-Gauss-Bonnet gravity, stationary black holes have a non-vanishing scalar charge. During the inspiral, the phase evolution is modified by several effects, primarily an additional scalar dipole radiation,…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Maxence Corman , Llibert Aresté Saló , Katy Clough

A general method is presented for estimating the uncertainty in hybrid models of gravitational waveforms from binary black-hole systems with arbitrary physical parameters, and thence the highest allowable initial orbital frequency for a…

General Relativity and Quantum Cosmology · Physics 2011-10-10 Michael Boyle

Nonlinear dynamics in cosmological backgrounds has the potential to teach us immensely about our universe, and also to serve as prototype for nonlinear processes in generic curved spacetimes. Here we report on dynamical evolutions of black…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Miguel Zilhao , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Ulrich Sperhake , Helvi Witek

This paper presents techniques and results for simulations of unequal mass, non-spinning black hole binaries with pseudo-spectral methods. Specifically, we develop an efficient root-finding procedure to ensure the black hole initial data…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Luisa T. Buchman , Harald P. Pfeiffer , Mark A. Scheel , Bela Szilagyi

We explore spinning, precessing, unequal mass binary black holes to display the long term orbital angular momentum, $\vec{L}$, flip dynamics. We study two prototypical cases of binaries with mass ratios $q=1/7$ and $q=1/15$ and a misaligned…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Carlos O. Lousto , James Healy

We present the results of 14 simulations of nonspinning black hole binaries with mass ratios $q=m_1/m_2$ in the range $1/100\leq q\leq1$. For each of these simulations we perform three runs at increasing resolution to assess the finite…

General Relativity and Quantum Cosmology · Physics 2017-07-26 James Healy , Carlos O. Lousto , Yosef Zlochower

We compute the emission of linear momentum (kicks) by both gravitational and electromagnetic radiation in fully general-relativistic numerical evolutions of quasi-circular charged black hole binaries. We derive analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Raimon Luna , Gabriele Bozzola , Vitor Cardoso , Vasileios Paschalidis , Miguel Zilhão

To fully unlock the scientific potential of upcoming gravitational wave (GW) interferometers, numerical relativity (NR) simulation accuracy will need to be greatly enhanced. We present three infrastructure-agnostic improvements to the…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Zachariah B. Etienne

We show that puncture data for quasicircular binary black hole orbits allow a special gauge choice that realizes some of the necessary conditions for the existence of an approximate helical Killing vector field. Introducing free parameters…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wolfgang Tichy , Bernd Bruegmann , Pablo Laguna

Binary black hole systems are typically assumed to evolve in vacuum. However, the environment surrounding the binary components can influence their properties, such as their tidal deformability, affecting the gravitational waveform produced…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Valerio De Luca , Loris Del Grosso , Francesco Iacovelli , Andrea Maselli , Emanuele Berti

The vast majority of massive binary systems in the universe is evidently unsuited to produce merging binary black holes. However, several narrow evolutionary paths of isolated massive binaries towards this goal have recently been…

Solar and Stellar Astrophysics · Physics 2025-12-24 Xiao-Tian Xu , Norbert Langer , Jakub Klencki , Chen Wang , Xiang-Dong Li

We demonstrate that numerical relativity codes based on the moving punctures formalism are capable of evolving nearly maximally spinning black hole binaries. We compare a new evolution of an equal-mass, aligned-spin binary with…

General Relativity and Quantum Cosmology · Physics 2017-08-10 Yosef Zlochower , James Healy , Carlos O. Lousto , Ian Ruchlin