Evolution of spherical perturbations in the cosmological medium of degenerate scalarly charged fermions with a Higgs scalar field

A mathematical model is formulated for the evolution of plane perturbations in a cosmological two-component statistical system of completely degenerate scalarly charged fermions with an asymmetric scalar Higgs interaction. A complete closed system of differential equations describing the unperturbed state of a homogeneous and isotropic system and a system of self-consistent evolution equations of small perturbations are constructed. Solutions of the system of evolutionary equations in the short-wavelength approximation are found and investigated. It is shown that unstable short-wavelength perturbation modes arise in such a system. The regions of instability of short-wave disturbances are identified and determined, and the correspondence of the model to the previously studied models is established.