Asymptotic symmetry breakdown and restoration in a statistical system of particles with a short-range vector interaction,and cosmological models

A relativistic statistical system of particles interactine via a massive Prock vector field on a Schwarzschild gravitational field background, is considered. It is shown that in the case of attraction of like charges, an asymptotic breakdown of the discrete symmetry is possible at large r, and its restoration at rr. Isotropic cosmological models are constructed both for the case of attracting and repulsing charges.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp, 42–48, September. 1982.