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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

We present new sequences of general relativistic, quasiequilibrium black hole-neutron star binaries. We solve for the gravitational field in the conformal thin-sandwich decomposition of Einstein's field equations, coupled to the equations…

Astrophysics · Physics 2009-11-11 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

Solving dynamical problems in general relativity requires the full machinery of numerical relativity. Wilson has proposed a simpler but approximate scheme for systems near equilibrium, like binary neutron stars. We test the scheme on…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Gregory B. Cook , Stuart L. Shapiro , Saul A. Teukolsky

We construct quasiequilibrium sequences of black hole-neutron star binaries in general relativity. We solve Einstein's constraint equations in the conformal thin-sandwich formalism, subject to black hole boundary conditions imposed on the…

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

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 numerical method to compute quasiequilibrium configurations of close binary neutron stars in the pre-coalescing stage. A hydrodynamical treatment is performed under the assumption that the flow is either rigidly rotating or…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Gourgoulhon , P. Grandclement , K. Taniguchi , J. -A. Marck , S. Bonazzola

Binary boson stars can be used to model the nonlinear dynamics and gravitational wave signals of merging ultracompact, but horizonless, objects. However, doing so requires initial data satisfying the Hamiltonian and momentum constraints of…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Nils Siemonsen , William E. East

We introduce a new numerical scheme for solving the initial value problem for quasiequilibrium binary neutron stars allowing for arbitrary spins. The coupled Einstein field equations and equations of relativistic hydrodynamics are solved in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pedro Marronetti , Stuart L. Shapiro

The conformal flatness approximation to the Einstein equations has been successfully used in many astrophysical applications such as initial data constructions and dynamical simulations. Although it has been shown that full general…

We report on numerical results from an independent formalism to describe the quasi-equilibrium structure of nonsynchronous binary neutron stars in general relativity. This is an important independent test of controversial numerical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro Marronetti , Grant J. Mathews , James R. Wilson

The Wilson approximate dynamics and the Einstein dynamics are compared for binary systems. At the second post-Newtonian approximation, genuine two-body aspects are found to differ by up to 114\%. In the regime of a formal innermost stable…

General Relativity and Quantum Cosmology · Physics 2019-08-15 R. Rieth , G. Schäfer

We construct quasiequilibrium sequences of black hole-neutron star binaries for arbitrary mass ratios by solving the constraint equations of general relativity in the conformal thin-sandwich decomposition. We model the neutron star as a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

In general neutron stars in binaries are spinning. Due to the existence of millisecond pulsars we know that these spins can be substantial. We argue that spins with periods on the order a few dozen milliseconds could influence the late…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Wolfgang Tichy

We develop a method to compute low-eccentricity initial data of binary neutron stars required to perform realistic simulations in numerical relativity. The orbital eccentricity is controlled by adjusting the orbital angular velocity of a…

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

Quasiequilibrium sequences of binary neutron stars are numerically calculated in the framework of the Isenberg-Wilson-Mathews (IWM) approximation of general relativity. The results are presented for both rotation states of synchronized…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Keisuke Taniguchi , Eric Gourgoulhon

We have computed quasiequilibrium sequences of synchronously rotating compact binary star systems with constant rest masses. This computation has been carried out by using the numerical scheme which is different from the scheme based on the…

Astrophysics · Physics 2009-11-07 Fumihiko Usui , Yoshiharu Eriguchi

A new method is described for constructing initial data for a binary neutron-star (BNS) system in quasi-equilibrium circular orbit. Two formulations for non-conformally flat data, waveless (WL) and near-zone helically symmetric (NHS), are…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

The construction of accurate and consistent initial data for various binary parameters is a critical ingredient for numerical relativity simulations of the compact binary coalescence. In this article, we present an upgrade of the…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Wolfgang Tichy , Alireza Rashti , Tim Dietrich , Reetika Dudi , Bernd Brügmann

We have developed a new numerical scheme to obtain quasiequilibrium structures of nonaxisymmetric compact stars such as binary neutron star systems as well as the spacetime around those systems in general relativity. Concerning…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Fumihiko Usui , Koji Uryu , Yoshiharu Eriguchi

Two relations, the virial relation $M_{\rm ADM}=M_{\rm K}$ and the first law in the form $\delta M_{\rm ADM}=\Omega \delta J$, should be satisfied by a solution and a sequence of solutions describing binary compact objects in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Masaru Shibata , Koji Uryu , John L. Friedman