Spontaneous breaking of C-invariance in a Friedmann universe with matter

This paper considers the theory of a massless complex scalar field in an isotropic nonstationary Friedmann universe, where account of the self-interaction leads to spontaneous symmetry breaking relative to certain transformations. Consideration of the exact solutions to the self-consistent Einstein equations and the equations of the complex field in an open Friedmann universe in the presence of dust can lead to a nonzero macroscopic vacuum charge density, which is interpreted by the author as a breaking of C-invariance by the vacuum.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 22–26, July, 1984.In conclusion, the author would like to thank G. G. Ivanov for the general formulation of the problem, and also A. A. Grib for discussion of the results obtained.