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Hydro-without-hydro framework for simulations of black hole–neutron star binaries

Carlos F Sopuerta1, Ulrich Sperhake1,2 and Pablo Laguna1,3

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We introduce a computational framework which avoids solving explicitly hydrodynamic equations and is suitable for studying the pre-merger evolution of black hole–neutron star binary systems. The essence of the method consists of constructing a neutron star model with a black hole companion and freezing the internal degrees of freedom of the neutron star during the course of the evolution of the spacetime geometry. We present the main ingredients of the framework, from the formulation of the problem to the appropriate computational techniques to study these binary systems. In addition, we present numerical results of the construction of initial data sets and evolutions that demonstrate the feasibility of this approach.


PACS

04.70.-s Physics of black holes

04.25.D- Numerical relativity

97.60.Jd Neutron stars

97.80.-d Binary and multiple stars

04.20.Gz Spacetime topology, causal structure, spinor structure

97.60.Lf Black holes

MSC

85A05 Galactic and stellar dynamics

83C75 Space-time singularities, cosmic censorship, etc.

83C35 Gravitational waves

83C57 Black holes

83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 16 (21 August 2006)

Received 20 March 2006

Published 27 July 2006



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