General Relativistic Magnetohydrodynamics for the Numerical Construction of Dynamical Spacetimes
Open Access
- 10 March 2003
- journal article
- research article
- Published by American Astronomical Society in The Astrophysical Journal
- Vol. 585 (2) , 921-929
- https://doi.org/10.1086/346103
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.Keywords
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