General Relativistic Magnetohydrodynamics for the Numerical Construction of Dynamical Spacetimes

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© 2003. The American Astronomical Society. All rights reserved. Printed in U.S.A.
, , Citation Thomas W. Baumgarte and Stuart L. Shapiro 2003 ApJ 585 921 DOI 10.1086/346103

0004-637X/585/2/921

Abstract

We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3 + 1 form. These consist of the complete coupled set of Maxwell's 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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10.1086/346103