The Boltzmann kinetic equation is established for the rarefied relativistic gas in the gravitational field with smallest restrictions on the topological structure of the space--time manifold. The equation of change of molecular properties is obtained. ft is proved that the divergences of the numerical flux vector and the energy-- momentum tensor vanish. It is also proved that the divergence of the flux vector of the entropy is nonnegative (H--theorem). The principle of the detailed balancing for the relativistic gas in the equilibrium state is considered. (auth)
U.S. Atomic Energy Commission depository collection.
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NSA number: NSA-17-002053 OSTI Identifier 4772082 Research organization: Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics.