Stability of the Cosmological System of Degenerated Scalarly Charged Fermions and Higgs Scalar Fields. I. Mathematical Model of Linear Plane Perturbations

Abstract

Abstract: A mathematical model of the evolution of plane perturbations in a cosmological statistical system of completely degenerated scalar-charged fermions with the Higgs scalar interaction is formulated. A complete closed system of differential equations describing the unperturbed state of a homogeneous and isotropic system and a system of self-consistent equations describing the evolution of small perturbations are constructed.