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This paper is devoted to the computation of compact binaries composed of one black hole and one neutron star. The objects are assumed to be on exact circular orbits. Standard 3+1 decomposition of Einstein equations is performed and the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Philippe Grandclement

We derive the BPS type of first order differential equations for the rotating black hole solutions in the three-dimensional Einstein gravity coupled minimally with a self-interacting scalar field, using fake supersymmetry formalism. It…

High Energy Physics - Theory · Physics 2013-04-03 Seungjoon Hyun , Jaehoon Jeong , Sang-Heon Yi

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

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

We present black hole solutions in $2+1-$dimensional Einstein's theory of gravity coupled with Born-Infeld nonlinear electrodynamic and a massless self-interacting scalar field. The model has five free parameters: mass $M$, cosmological…

General Relativity and Quantum Cosmology · Physics 2015-09-30 S. Habib Mazharimousavi , M. Halilsoy

Various methods of treating outer boundaries in numerical relativity are compared using a simple test problem: a Schwarzschild black hole with an outgoing gravitational wave perturbation. Numerical solutions computed using different…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Oliver Rinne , Lee Lindblom , Mark A. Scheel

The damped harmonic gauge is important for numerical relativity computations based on the generalized harmonic formulation of Einstein's equations, and is used to reduce coordinate distortions near binary black hole mergers. However,…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Vijay Varma , 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

This work is part of an ongoing research programme to study possible Primordial Black Hole (PBH) formation during the radiation dominated era of the early universe. Working within spherical symmetry, we specify an initial configuration in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alexander G. Polnarev , Ilia Musco , .

The most general bound binary black hole (BBH) system has an eccentric orbit and precessing spins. The detection of such a system with significant eccentricity close to the merger would be a clear signature of dynamical formation. In order…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Khun Sang Phukon , Nathan K. Johnson-McDaniel , Amitesh Singh , Anuradha Gupta

The black hole (BH) binaries in active galactic nuclei (AGN) are expected to form mainly through scattering encounters in the ambient gaseous medium. Recent simulations, including our own, have confirmed this formation pathway is highly…

High Energy Astrophysical Phenomena · Physics 2023-09-27 Connar Rowan , Henry Whitehead , Tjarda Boekholt , Bence Kocsis , Zoltán Haiman

Choptuik's critical phenomena in general relativity is revisited in the affine-null metric formulation of Einstein's equations for a massless scalar field in spherical symmetry. Numerical solutions are obtained by evolution of initial data…

General Relativity and Quantum Cosmology · Physics 2024-07-26 Thomas Mädler , Olaf Baake , Hamideh Hosseini , Jeffrey Winicour

The Einstein constraint equations describe the space of initial data for the evolution equations, dictating how space should curve within spacetime. Under certain assumptions, the constraints reduce to a scalar quasilinear parabolic…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Phillipo Lappicy

In order to generate initial data for nonlinear relativistic simulations, one needs to solve the Einstein constraints, which can be cast into a coupled set of nonlinear elliptic equations. Here we present an approach for solving these…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Oleg Korobkin , Burak Aksoylu , Michael Holst , Enrique Pazos , Manuel Tiglio

Excision techniques are used in order to deal with black holes in numerical simulations of Einstein equations and consist in removing a topological sphere containing the physical singularity from the numerical domain, applying instead…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Isabel Cordero-Carrión , Nicolas Vasset , Jérôme Novak , José Luis Jaramillo

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 construct new models of black hole-neutron star binaries in quasiequilibrium circular orbits by solving Einstein's constraint equations in the conformal thin-sandwich decomposition together with the relativistic equations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

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

We present a new study of remnant black hole properties from 13 binary black hole systems, numerically evolved using the Spectral Einstein Code. The mass, spin, and recoil velocity of each remnant were determined quasi-locally from apparent…

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
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