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Nonspherical perturbation theory has been necessary to understand the meaning of radiation in spacetimes generated through fully nonlinear numerical relativity. Recently, perturbation techniques have been found to be successful for the time…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. M. Abrahams , R. H. Price

A general relativistic, stationary and axisymmetric black hole in a four-dimensional asymptotically-flat spacetime is fully determined by its mass, angular momentum and electric charge. The expectation that astrophysically relevant black…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Gabriele Bozzola , Vasileios Paschalidis

Sequences of initial-data sets representing binary black holes in quasi-circular orbits have been used to calculate what may be interpreted as the innermost stable circular orbit. These sequences have been computed with two approaches. One…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pablo Laguna

We revisit the construction of puncture black hole initial data in the conformal thin-sandwich decomposition of Einstein's constraint equations. It has been shown previously that this approach cannot yield quasiequilibrium wormhole data,…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Thomas W. Baumgarte

We quantify for the first time the gravitational wave (GW) phase shift appearing in the waveform of eccentric binary black hole (BBH) mergers formed dynamically in three-body systems. For this, we have developed a novel numerical method…

High Energy Astrophysical Phenomena · Physics 2024-03-12 Johan Samsing , Kai Hendriks , Lorenz Zwick , Daniel J. D'Orazio , Bin Liu

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Anand Balivada , Abhishek Hegade K. R. , Nicolás Yunes

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

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

Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features simultaneously. Most efforts over the past fifteen years to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Tom Colin , Sashwat Tanay , Laura Bernard

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

We consider general relativistic Cauchy data representing two nonspinning, equal-mass black holes boosted toward each other. When the black holes are close enough to each other and their momentum is sufficiently high, an encompassing…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Andrew M. Abrahams , Gregory B. Cook

Recent breakthroughs in numerical relativity enable one to examine the validity of the post-Newtonian expansion in the late stages of inspiral. For the comparison between post-Newtonian (PN) expansion and numerical simulations, the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Ryuichi Fujita , Bala R. Iyer

Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles before merger, are compared with those from…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Michael Boyle , Duncan A. Brown , Lawrence E. Kidder , Abdul H. Mroue , Harald P. Pfeiffer , Mark A. Scheel , Gregory B. Cook , Saul A. Teukolsky

We solve for single distorted black hole initial data using the puncture method, where the Hamiltonian constraint is written as an elliptic equation in R^3 for the nonsingular part of the metric conformal factor. With this approach we can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. David Brown , Lisa L. Lowe

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Francesco Fucito , Jose Francisco Morales

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 construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such parameters must be chosen carefully to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Matthew Caudill , Gregory B. Cook , Jason D. Grigsby , Harald P. Pfeiffer

In this contribution we present an overview of our work on the numerical simulation of the perturbation of a black hole space-time by incoming gravitational waves. The formulation we use is based on Friedrich's general conformal equations…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Breanna Camden , Jörg Frauendiener , Joseph Galinski , Kaushal Pillay , Chris Stevens , Sebenele Thwala

We introduce a method to quantify the initial eccentricity, gravitational wave frequency, and mean anomaly of numerical relativity simulations that describe non-spinning black holes on moderately eccentric orbits. We demonstrate that this…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Sarah Habib , E. A. Huerta

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