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Towards relativistic simulations of magneto-rotational core collapse

P Cerdá-Durán1,2 and J A Font1

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We 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.


PACS

04.20.-q Classical general relativity

04.40.Dg Relativistic stars: structure, stability, and oscillations

04.25.D- Numerical relativity

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

MSC

83C50 Electromagnetic fields

83C40 Gravitational energy and conservation laws; groups of motions

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

85A15 Galactic and stellar structure

Subjects

Plasma physics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 12 (21 June 2007)

Received 23 November 2006, in final form 22 March 2007

Published 30 May 2007



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