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We present a multi-domain spectral method to compute initial data of binary systems in General Relativity. By utilizing adapted conformal coordinates, the vacuum region exterior to the gravitational sources is divided up into two subdomains…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcus Ansorg

Construction of astrophysically realistic initial data remains a central problem when modelling the merger and eventual coalescence of binary black holes in numerical relativity. The objective of this paper is to provide astrophysically…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Samaya Nissanke

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth A. Dennison , Thomas W. Baumgarte , Harald P. Pfeiffer

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 compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Abdul H. Mroué , Harald P. Pfeiffer , Lawrence E. Kidder , Saul A. Teukolsky

The coalescence of a neutron star with a black hole is a primary science target of ground-based gravitational wave detectors. Constraining or measuring the neutron star spin directly from gravitational wave observations requires knowledge…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Nick Tacik , Francois Foucart , Harald P. Pfeiffer , Curran Muhlberger , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi

Construction of binary black hole initial data is a prerequisite for numerical evolutions of binary black holes. This paper reports improvements to the binary black hole initial data solver in the Spectral Einstein Code, to allow robust…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Serguei Ossokine , Francois Foucart , Harald P. Pfeiffer , Michael Boyle , Béla Szilágyi

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Marronetti , M. Huq , P. Laguna , L. Lehner , R. Matzner , D. Shoemaker , .

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

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

We follow the inspiral and merger of equal-mass black holes (BHs) by the moving puncture technique and demonstrate that both the exterior solution and the asymptotic gravitational waveforms are unchanged when the initial interior solution…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zachariah B. Etienne , Joshua A. Faber , Yuk Tung Liu , Stuart L. Shapiro , Thomas W. Baumgarte

We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting

It was recently suggested that the merger of $\sim30\,M_\odot$ primordial black holes (PBHs) may provide a significant number of events in gravitational-wave observatories over the next decade, if they make up an appreciable fraction of the…

High Energy Astrophysical Phenomena · Physics 2016-10-12 Ilias Cholis , Ely D. Kovetz , Yacine Ali-Haïmoud , Simeon Bird , Marc Kamionkowski , Julian B. Muñoz , Alvise Raccanelli

The modelling of unequal mass binary black hole systems is of high importance to detect and estimate parameters from these systems. Numerical relativity (NR) is well suited to study systems with comparable component masses, $m_1\sim m_2$,…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Antoni Ramos-Buades , Maarten van de Meent , Harald P. Pfeiffer , Hannes R. Rüter , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder

We perform the first fully nonlinear numerical simulations of black-hole binaries with mass ratios 100:1. Our technique for evolving such extreme mass ratios is based on the moving puncture approach with a new gauge condition and an optimal…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Carlos O. Lousto , Yosef Zlochower

Initial orbital eccentricities of gravitational wave (GW) events associated with merging binary black holes (BBHs) should provide clues to their formation scenarios, mainly because various BBH formation channels predict distinct…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Elahe Khalouei , Cristiano G. Sabiu , Hyung Mok Lee , A. Gopakumar

Approximate solutions to the Einstein field equations are a valuable tool to investigate gravitational phenomena. An important aspect of any approximation is to investigate and quantify its regime of validity. We present a study that…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Tanja Bode , Pablo Laguna , Deirdre M. Shoemaker , Ian Hinder , Frank Herrmann , Birjoo Vaishnav

We present improvements to construction of binary black hole initial data used in SpEC (the Spectral Einstein Code). We introduce new boundary conditions for the extended conformal thin sandwich elliptic equations that enforce the excision…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Vijay Varma , Mark A. Scheel , Harald P. Pfeiffer

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 solve the Hamiltonian and momentum constraints of general relativity for two black holes with nearly extremal spins and relativistic boosts in the puncture formalism. We use a non-conformally-flat ansatz with an attenuated superposition…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Ian Ruchlin , James Healy , Carlos O. Lousto , Yosef Zlochower