3+1 formulation of general-relativistic perfect magnetohydrodynamics
May 15, 1989Published in:
- Phys.Rev.D 39 (1989) 10, 2933
- Published: May 15, 1989
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Abstract: (APS)
The laws of perfect general-relativistic magnetohydrodynamics (GRMHD) are rewritten in 3+1 language in a general spacetime. The laws are expressed in terms of quantities (magnetic field, flow velocity, . . .) that would be measured by the ``fiducial observers'' whose world lines are orthogonal to the hypersurfaces of constant time. This 3+1 formalism of GRMHD should be of interest in numerical relativity, numerical astrophysics, and the membrane paradigm for black holes. The GRMHD equations are also specialized to a stationary spacetime and a stationary MHD flow with one arbitrary spatial symmetry (e.g., a stationary MHD magnetosphere for a rotating Kerr black hole); and the general features of stationary, symmetric GRMHD solutions are discussed.References(0)
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