P Cerdá-Durán and J A Font 2007 Class. Quantum Grav. 24 S155 doi:10.1088/0264-9381/24/12/S11
P Cerdá-Durán1,2 and J A Font1
Show affiliationsWe present a new general relativistic hydrodynamics code specifically designed to study magneto-rotational, relativistic, stellar core collapse. The code is an extension of an existing (and thoroughly tested) hydrodynamics code, which has been applied in the recent past to study relativistic rotational core collapse. It is based on the conformally-flat approximation of Einstein's field equations and conservative formulations for the magneto-hydrodynamics equations. As a first step towards magneto-rotational core collapse simulations the code assumes a passive (test) magnetic field. The paper is focused on the description of the technical details of the numerical implementation, with emphasis on the magnetic field module. A number of code tests are presented and discussed, along with a representative core collapse simulation.
04.20.-q Classical general relativity
04.40.Dg Relativistic stars: structure, stability, and oscillations
95.30.Qd Magnetohydrodynamics and plasmas
97.10.Cv Stellar structure, interiors, evolution, nucleosynthesis, ages
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
83C40 Gravitational energy and conservation laws; groups of motions
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 12 (21 June 2007)
Received 23 November 2006, in final form 22 March 2007
Published 30 May 2007
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Szymon Niewieczerzał and Marek Cieplak 2009 J. Phys.: Condens. Matter 21 474221
M. Catanese et al. 1997 ApJ 480 562
J Y Peter Ko et al 2009 J. Phys.: Conf. Ser. 190 012078
T P Hutchinson 2007 Phys. Med. Biol. 52 L1
M F Barakat 1967 J. Sci. Instrum. 44 1031
Masayuki Tanimoto 2004 Class. Quantum Grav. 21 5355
J-F Pascual-Sánchez 2000 Class. Quantum Grav. 17 4913
Boncho P. Bonev and Michael J. Mumma 2006 ApJ 653 788