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3+1 formulation of general-relativistic perfect magnetohydrodynamics

Zhang, Xiao-He (1989) 3+1 formulation of general-relativistic perfect magnetohydrodynamics. Physical Review D, 39 (10). pp. 2933-2942. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:ZHAprd89b

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Abstract

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.


Item Type:Article
Additional Information:©1989 The American Physical Society Received 13 June 1988 The author would like to thank Kip Thorne for many useful discussions and helpful suggestions during the course of this work and in writing this paper. He has also benefited from discussions with Sterl Phinney. Partial support of this work by NSF Grant No. AST85-14911 is also acknowledged.
Record Number:CaltechAUTHORS:ZHAprd89b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ZHAprd89b
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.39.2933
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6478
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:11 Dec 2006
Last Modified:26 Dec 2012 09:21

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