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.

• Received 29 July 1991

DOI:https://doi.org/10.1103/PhysRevA.46.1078