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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

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

A new numerical method to construct binary black hole/neutron star initial data is presented. The method uses three spherical coordinate patches; Two of these are centered at the binary compact objects and cover a neighborhood of each…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Antonios A. Tsokaros , Koji Uryu

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

We present a new numerical scheme to solve the initial value problem for black hole-neutron star binaries. This method takes advantage of the flexibility and fast convergence of a multidomain spectral representation of the initial data to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Francois Foucart , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

This work introduces the Elliptica pseudo-spectral code for generating initial data of binary neutron star systems. Building upon the recent Elliptica code update, we can now construct initial data using not only piecewise polytropic…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Alireza Rashti , Andrew Noe

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

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 propose a new numerical method to compute quasi-equilibrium sequences of general relativistic irrotational binary neutron star systems. It is a good approximation to assume that (1) the binary star system is irrotational, i.e. the…

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

A new approach to construct initial data for binary systems with neutron star components is introduced. The approach is a generalization of the puncture initial data method for binary black holes based on Bowen-York solutions to the…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Michael Clark , Pablo Laguna

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

In general neutron stars in binaries are spinning. Recently, a new quasi-equilibrium approximation that includes a rotational velocity piece for each star has been proposed to describe binary neutron stars with arbitrary rotation states in…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Wolfgang Tichy

This lecture is devoted to the problem of computing initial data for the Cauchy problem of 3+1 general relativity. The main task is to solve the constraint equations. The conformal technique, introduced by Lichnerowicz and enhanced by York,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eric Gourgoulhon

The starting point of any general relativistic numerical simulation is a solution of the Hamiltonian and momentum constraints that (ideally) represents an astrophysically realistic scenario. We present a new method to produce initial data…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Petr Tsatsin , Pedro Marronetti

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

In this paper a new double-domain spectral method to compute binary black hole excision initial data is presented. The method solves a system of elliptic partial differential equations in the exterior of two excised spheres. At the surface…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg

We present the extension of our \cocal~- Compact Object CALculator - code to compute general-relativistic initial data for binary compact-star systems. In particular, we construct quasiequilibrium initial data for equal-mass binaries with…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Antonios Tsokaros , Koji Uryu , Luciano Rezzolla

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…

We present a code to construct initial data for binary neutron star systems in which the stars are rotating. Our code, based on a formalism developed by Tichy, allows for arbitrary rotation axes of the neutron stars and is able to achieve…

The initial-value problem is posed by giving a conformal three-metric on each of two nearby spacelike hypersurfaces, their proper-time separation up to a multiplier to be determined, and the mean (extrinsic) curvature of one slice. The…

General Relativity and Quantum Cosmology · Physics 2012-08-27 James W. York,
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