Towards relativistic simulations of magneto-rotational core collapse

Abstract

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.

arXiv comment15 pages, 7 figures, accepted for publication in Classical and Quantum Gravity, special issue on the New Frontiers in Numerical Relativity meeting at the Albert Einstein Institute, Potsdam, July 17-21, 2006

References in corpus (15)

• Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole
• The Physics of Core-Collapse Supernovae
• Relativistic simulations of rotational core collapse. II. Collapse dynamics and gravitational radiation
• Relativistic Numerical Method for Close Neutron Star Binaries
• Relativistic simulations of rotational core collapse. I. Methods, initial models, and code tests
• Numerical 3+1 general relativistic magnetohydrodynamics: a local characteristic approach
• Axisymmetric simulations of magneto--rotational core collapse: dynamics and gravitational wave signal
• Magnetorotational collapse of massive stellar cores to neutron stars: Simulations in full general relativity
• Collapse of magnetized hypermassive neutron stars in general relativity
• Magnetized hypermassive neutron star collapse: a central engine for short gamma-ray bursts
• "Mariage des Maillages": A new numerical approach for 3D relativistic core collapse simulations
• Gravitational waves from axisymmetric rotating stellar core collapse to a neutron star in full general relativity
• Assessment of a high-resolution central scheme for the solution of the relativistic hydrodynamics equations
• CFC+: Improved dynamics and gravitational waveforms from relativistic core collapse simulations
• Robustness of a high-resolution central scheme for hydrodynamic simulations in full general relativity

Cited by in corpus (3)

• A new general relativistic magnetohydrodynamics code for dynamical spacetimes
• General relativistic simulations of pasive-magneto-rotational core collapse with microphysics
• Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit