Gravitational-Scalar Instability of a Cosmological Model Based on a Two-Component System of Degenerate Scalarly Charged Fermions with asymmetric Higgs Interaction. II. WKB-Aapproximation

Abstract

Solutions of the system of evolutionary equations in the short-wavelength approximation are found and studied. A connection is established between the problem of the evolution of short-wavelength gravitational-scalar perturbations and the problem of eigenvectors and eigenvalues of a linear operator. By means of an applied mathematical package, a program for calculating the amplitudes of perturbations of the cosmological model was created. It is shown that unstable short-wavelength perturbation modes arise in such a system. A numerical model for the evolution of gravitational-scalar perturbations of the cosmological model has been constructed and analyzed.