General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes

摘要

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