Abstract
The closed set of general-relativistic hydrodynamical equations describing a strongly magnetized collisionless plasma with an anisotropic pressure tensor is derived. Consideration is based on the ``3+1'' formulation of magnetohydrodynamics and the orthonormal tetrad technique. The model is the further generalization of the theory of Chew, Goldberger, and Low [Proc. R. Soc. London Ser. A 236, 1204 (1954)] for the general-relativistic case. In ultrarelativistic limit the equations of state are obtained, which differ noticeably from those known previously.
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