3+1 formulation of general-relativistic perfect magnetohydrodynamics

Journal Article · Mon May 15 04:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.2933· OSTI ID:6136366

Zhang, X

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.

• Research Organization: Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125(US)
• OSTI ID: 6136366
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

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71 CLASSICAL AND QUANTUM MECHANICS
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BLACK HOLES
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FLUID MECHANICS
GENERAL RELATIVITY THEORY
HYDRODYNAMICS
MAGNETIC FIELDS
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