Abstract
A covariant action principle for ideal relativistic magnetohydrodynamics
(MHD) in terms of natural Eulerian field variables is given. This is done by
generalizing the covariant Poisson bracket theory of Marsden et al., which uses
a noncanonical bracket to effect constrained variations of an action
functional. Various implications and extensions of this action principle are
also discussed. Two significant by-products of this formalism are the
introduction of a new divergence-free 4-vector variable for the magnetic field,
and a new Lie-dragged form for the theory.
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