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We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

Tremendous progress has been made towards the solution of the binary-black-hole problem in numerical relativity. The waveforms produced by numerical relativity will play a role in gravitational wave detection as either test-beds for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Birjoo Vaishnav , Ian Hinder , Frank Herrmann , Deirdre Shoemaker

Black hole (BH) - neutron star (NS) binary mergers are not only strong sources of gravitational waves (GWs), but they are also candidates for joint detections in the GW and electromagnetic (EM) spectra. However, the possible emergence of an…

General Relativity and Quantum Cosmology · Physics 2024-09-12 Konrad Topolski , Samuel Tootle , Luciano Rezzolla

I consider the initial-boundary-value-problem of nonlinear general relativistic vacuum spacetimes, which today cannot yet be evolved numerically in a satisfactory manner. Specifically, I look at gauge conditions, classifying them into gauge…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erik Schnetter

The standard approach to the numerical evolution of black hole data using the ADM formulation with maximal slicing and vanishing shift is extended to non-symmetric black hole data containing black holes with linear momentum and spin by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann

Using the 3D smoothed particle hydrodynamics code PHANTOM, we investigate the evolution of the orbital properties of massive black hole binaries embedded in massive discs where gravitational instabilities (GIs) triggered by the disc…

High Energy Astrophysical Phenomena · Physics 2024-08-21 Alessia Franchini , Alessandra Prato , Cristiano Longarini , Alberto Sesana

We discuss a new N-body simulation method for studying black hole binary dynamics. This method avoids previous numerical problems due to large mass ratios and trapped orbits with short periods. A treatment of relativistic effects is…

Astrophysics · Physics 2009-11-07 Sverre J Aarseth

We calculate the evolution and gravitational-wave emission of a spinning compact object inspiraling into a substantially more massive (non-rotating) black hole. We extend our previous model for a non-spinning binary [Phys. Rev. D 93,…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Niels Warburton , Thomas Osburn , Charles R. Evans

Binary black hole (BBH) mergers detected via gravitational waves are addressing key open questions in astrophysics, cosmology, and fundamental physics. Our scientific conclusions rely on extracting accurate source parameters, for which we…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Parthapratim Mahapatra , Jonathan E. Thompson , Edward Fauchon-Jones , Mark Hannam

Standard puncture initial data have been widely used for numerical binary black hole evolutions despite their shortcomings, most notably the inherent lack of gravitational radiation at the initial time that is later followed by a burst of…

General Relativity and Quantum Cosmology · Physics 2015-03-20 George Reifenberger , Wolfgang Tichy

The orbital dynamics of the binary point-mass systems is ambiguous at the third post-Newtonian order of approximation. The static ambiguity is known to be related to the difference between the Brill-Lindquist solution and the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Piotr Jaranowski , Gerhard Schäfer

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 László Árpád Gergely

Recent studies of accretion onto supermassive black hole binaries suggest that much, perhaps most, of the matter eventually accretes onto one hole or the other. If so, then for binaries whose inspiral from ~1 pc to 0.001 - 0.01 pc is driven…

High Energy Astrophysical Phenomena · Physics 2015-06-16 M. Coleman Miller , Julian H. Krolik

Using two recent techniques giving non-perturbative re-summed estimates of the damping and of the conservative part of the dynamics of two-body systems, we describe the transition between adiabatic inspiral and plunge in binary non-spinning…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alessandra Buonanno , Thibault Damour

The stellar ejection rate and the rates of change of the binary semimajor axis and eccentricity are derived from scattering experiments for the restricted three-body problem. They are used to study the evolution of binaries in simple models…

Astrophysics · Physics 2011-08-09 Gerald D. Quinlan

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

The accretion flow in the disk dominated state of black hole binaries has peak temperature and luminosity which vary together in such a way as to indicate an approximately constant emitting area. The association of this with the last stable…

Astrophysics · Physics 2009-11-13 Chris Done , Shane W. Davis

In the context of f(R) modified gravity theories we determine that the black holes existence is determined by the sign of a parameter dependent of the mass, the charge, the spin and the scalar curvature. We obtain the different…

General Relativity and Quantum Cosmology · Physics 2012-02-07 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

The shrinking of a binary orbit driven by the interaction with a gaseous circumbinary disc, initially advocated as a potential way to catalyze the binary merger, has been recently debated in the case of geometrically thick (i.e. with…

High Energy Astrophysical Phenomena · Physics 2023-04-19 Alessia Franchini , Alessandro Lupi , Alberto Sesana , Zoltan Haiman

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