Nonlinear effects in the relative dynamics of test bodies in the general theory of relativity. III. The case of slowly varying parameters

A solution to the equations of the relative dynamics of test bodies in the framework of general relativity is constructed for the case of slowly varying coefficients (when these last depend on the truncated proper time on a reference trajectory). Nonlinear radial oscillations of a test body in the neighborhood of a point of equilibrium in the Nordström space are considered. Some nonlinear effects of stochastic forces in the relative dynamics of test bodies are considered in a space of constant curvature.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 56–61, May, 1980.