General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes

Details General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes

2002-11-14

arxiv.org/abs/astro-ph/0211340v1

Astrophys.J. 585 (2003) 921-929

Astronomy and Astrophysics

Astrophysics

8 pages; scheduled for March 10 issue of ApJ

Scientific paper

10.1086/346103

We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3+1 form. These consist of the complete coupled set of Maxwell equations for the electromagnetic field, Einstein's equations for the gravitational field, and the equations of relativistic MHD for a perfectly conducting ideal gas. The adopted form of the equations is suitable for evolving numerically a relativistic MHD fluid in a dynamical spacetime characterized by a strong gravitational field.

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