New code for quasiequilibrium initial data of binary neutron stars: Corotating, irrotational, and slowly spinning systems

Antonios Tsokaros, Kōji Uryū, and Luciano Rezzolla
Phys. Rev. D 91, 104030 – Published 27 May 2015

Abstract

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 spins that are either aligned or antialigned with the orbital angular momentum. The Isenberg-Wilson-Mathews formalism is adopted and the constraint equations are solved using the representation formula with a suitable choice of a Green’s function. We validate the new code with solutions for equal-mass binaries and explore its capabilities for a wide range of compactnesses, from a white dwarf binary with compactness 104, up to a highly relativistic neutron-star binary with compactness 0.22. We also present a comparison with corotating and irrotational quasiequilibrium sequences from the spectral code lorene [Taniguchi and Gourgoulhon, Phys. Rev. D 66, 104019 (2002)] and with different compactness, showing that the results from the two codes agree to a precision of the order of 0.05%. Finally, we present equilibria for spinning configurations with a nuclear-physics equation of state in a piecewise polytropic representation.

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  • Received 3 February 2015

DOI:https://doi.org/10.1103/PhysRevD.91.104030

© 2015 American Physical Society

Authors & Affiliations

Antonios Tsokaros

  • Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany

Kōji Uryū

  • Department of Physics, University of the Ryukyus, Senbaru, Nishihara, Okinawa 903-0213, Japan

Luciano Rezzolla

  • Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany
  • Frankfurt Institute for Advanced Studies, Goethe University, D-60438 Frankfurt am Main, Germany

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Vol. 91, Iss. 10 — 15 May 2015

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