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Many evolution problems in physics are described by partial differential equations on an infinite domain; therefore, one is interested in the solutions to such problems for a given initial dataset. A prominent example is the binary black…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Olivier Sarbach , Manuel Tiglio

The purpose of this work is to construct asymptotically flat, time symmetric initial data with an apparent horizon of prescribed intrinsic geometry. To do this, we use the parabolic partial differential equation for prescribing scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Brian Smith

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 present a semi-analytical binary black hole (BBH) metric approximation that models the entire evolution of the system from inspiral to merger. The metric is constructed as a boosted Kerr-Schild superposition following post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Luciano Combi , Sean M. Ressler

Black hole spectroscopy is an important pillar when studying gravitational waves from black holes and enables tests of general relativity. Most of the gravitational-wave signals observed over the last decade originate from binary black hole…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Oliver Steppohn , Sebastian H. Völkel , Tim Dietrich

The standard approach to initial data for both analytic and numerical computations of black hole collisions has been to use conformally-flat initial geometry. Among other advantages, this choice allows the simple superposition of holes with…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. Krivan , R. H. Price

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

We calculate the first dynamical evolutions of merging black hole-neutron star binaries that construct the combined black hole-neutron star spacetime in a general relativistic framework. We treat the metric in the conformal flatness…

We present a fast method for obtaining fully analytical approximations for gravitational waveforms produced by merging of neutron stars and/or black holes for the earliest stages of the merger process. The obtained analytical formula is…

High Energy Astrophysical Phenomena · Physics 2025-11-04 Aleksandra V. Mishakina , Sergei I. Blinnikov

We use post-Newtonian (PN) approximations to determine the initial orbital and spin parameters of black hole binaries that lead to low-eccentricity inspirals when evolved with numerical relativity techniques. In particular, we seek initial…

General Relativity and Quantum Cosmology · Physics 2020-11-10 James Healy , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

Numerical relativity became a powerful tool to investigate the dynamics of binary problems with black holes or neutron stars as well as the very structure of General Relativity. Although public numerical relativity codes are available to…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Hirotada Okawa

We review the recent multifrequency studies of galactic black hole binaries, aiming at revealing the underlying emission processes and physical properties in these systems. The optical and infrared observations are important for determining…

We present a set of boundary conditions for solving the elliptic equations in the Initial Data Problem for space-times containing a black hole, together with a number of constraints to be satisfied by the otherwise freely specifiable…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. L. Jaramillo , E. Gourgoulhon , G. A. Mena Marugan

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

Motivated by a geometric understanding of the angular velocity of a Kerr black hole in terms of a quasi-conformal map that describes a 2d Beltrami fluid flow, a new way to construct initial data sets for binary rotating black holes by…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Shuanglin Huang , Xuefeng Feng , Yun-Kau Lau

Gravitational-wave observations of compact binaries have the potential to uncover the distribution of masses and angular momenta of black holes and neutron stars in the universe. The binary components' physical parameters can be inferred…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Mark Hannam , Duncan A. Brown , Stephen Fairhurst , Chris L. Fryer , Ian W. Harry

Numerical-relativity simulations with non-trivial matter configurations require initial data that satisfy the Hamiltonian and momentum constraints of the Einstein equations. We construct constraint-satisfying scalar-field initial data using…

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

The idea of a unified description of supermassive and stellar black holes has been supported by the extension of the empirical radio/X-ray correlation from X-ray binaries to active galactic nuclei through the inclusion of a mass term. This…

Astrophysics · Physics 2009-11-11 Elmar Koerding , Heino Falcke , Sephane Corbel

Several improvements in numerical methods and gauge choice are presented that make it possible now to perform simulations of the merger and ringdown phases of "generic" binary black-hole evolutions using the pseudo-spectral evolution code…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Béla Szilágyi , Lee Lindblom , Mark A. Scheel
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