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We introduce a new method for numerically evolving the full Einstein field equations in situations where the spacetime is dominated by a known background solution. The technique leverages the knowledge of the background solution to subtract…

General Relativity and Quantum Cosmology · Physics 2013-05-20 William E. East , Frans Pretorius

We study the innermost stable circular orbit (ISCO) of a test particle around rapidly rotating neutron stars. Based on 12 different nuclear-matter equations of state (EOS), we find numerically two approximately EOS-insensitive universal…

High Energy Astrophysical Phenomena · Physics 2018-07-25 Shun-Sun Luk , Lap-Ming Lin

We present a new scheme for constructing initial data for the Einstein field equations using the conformal thin-sandwich formulation that does not assume conformal flatness or approximate Killing vectors. This includes a method for…

General Relativity and Quantum Cosmology · Physics 2012-11-29 William E. East , Fethi M. Ramazanoğlu , Frans Pretorius

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 , .

Using the Mathisson-Papapetrou-Dixon equations together with the Tulczyjew spin-supplementary condition, we study the circular orbits of a spinning test particle moving in the equatorial plane of a quantum improved Rotating Black Hole (RBH)…

General Relativity and Quantum Cosmology · Physics 2023-02-24 Jose Miguel Ladino , Eduard Larrañaga

Black hole binaries on non-eccentric orbits form an important subclass of gravitational wave sources, but it is a non-trivial issue to construct numerical initial data with minimal initial eccentricity for numerical simulations. We compute…

General Relativity and Quantum Cosmology · Physics 2010-03-29 Benny Walther , Bernd Bruegmann , Doreen Mueller

We present an alternative approach to setting initial data in general relativity. We do not use a conformal decomposition, but instead express the 3-metric in terms of a given unit vector field and one unknown scalar field. In the case of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Florian Beyer , Michael Koppitz

In this paper, we study the motion of test particles around two exact charged black-hole solutions in Einstein-{\AE}ther theory. Specifically, we first consider the quasi-periodic oscillations (QPOs) and their resonances generated by the…

General Relativity and Quantum Cosmology · Physics 2020-08-18 Mustapha Azreg-Aïnou , Zihang Chen , Bojun Deng , Mubasher Jamil , Tao Zhu , Qiang Wu , Yen-Kheng Lim

A general method is presented for estimating the uncertainty in hybrid models of gravitational waveforms from binary black-hole systems with arbitrary physical parameters, and thence the highest allowable initial orbital frequency for a…

General Relativity and Quantum Cosmology · Physics 2011-10-10 Michael Boyle

We construct exact initial data for closed cosmological models filled with regularly arranged black holes in the presence of $\Lambda$. The intrinsic geometry of the 3-dimensional space described by this data is a sum of simple closed-form…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Jessie Durk , Timothy Clifton

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

Configurations of rotating black holes in the cubic Galileon theory are computed by means of spectral methods. The equations are written in the 3+1 formalism and the coordinates are based on the maximal slicing condition and the spatial…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Philippe Grandclément

We numerically construct an one-parameter family of initial data of an expanding inhomogeneous universe model which is composed of regularly aligned black holes with an identical mass. They are initial data for vacuum solutions of the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Chul-Moon Yoo , Hiroyuki Abe , Yohsuke Takamori , Ken-ichi Nakao

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

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

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

Isolated horizon conditions enforce the time invariance of both the intrinsic and the extrinsic geometry of a (quasilocal) black hole horizon. Nonexpanding horizons, only requiring the invariance of the intrinsic geometry, have been…

General Relativity and Quantum Cosmology · Physics 2009-10-29 José Luis Jaramillo

General relativistic quasiequilibrium states of black hole-neutron star binaries are computed in the moving-puncture framework. We propose three conditions for determining the quasiequilibrium states and compare the numerical results with…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Koutarou Kyutoku , Masaru Shibata , Keisuke Taniguchi

A full-relativistic approach is used to compute the radius of the innermost stable circular orbit (ISCO), the Keplerian, frame-dragging, precession and oscillation frequencies of the radial and vertical motions of neutral test particles…

Solar and Stellar Astrophysics · Physics 2014-01-14 Andres F. Gutierrez-Ruiz , Cesar A. Valenzuela-Toledo , Leonardo A. Pachon

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
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