To the method of the kinetic equation in general relativity

In this paper, we present a method for finding the 4-vector of the current and the energy momentum tensor of a nonequilibrium relativistic gas placed in a gravitational field, on the basis of the kinetic equation, which we write in a different, clearly covariant form, and an expression calculated using this method for 4-the current vector, which is valid for sufficiently weak and slowly varying fields (see (2.5)).The designations adopted in this work, with the exception of those stipulated in the text, coincide with the designations adopted in the works [1] - [4].