Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.2933z&link_type=abstract
Physical Review D (Particles and Fields), Volume 39, Issue 10, 15 May 1989, pp.2933-2942
Astronomy and Astrophysics
Astrophysics
48
Plasma Dynamics And Flow, Magnetohydrodynamics And Plasmas
Scientific paper
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.
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