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General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes

Thomas W. Baumgarte·Stuart L. Shapiro
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Abstract

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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Thomas W. Baumgarte, Stuart L. Shapiro. 2002-11-14. General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes. https://doi.org/10.1086/346103

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