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A mathematical model of the evolution of plane perturbations in thecosmological statistical system of completely degenerated scalar-chargedfermions with the Higgs scalar interaction is formulated. A complete closedsystem of differential equations describing the unperturbed state of ahomogeneous and isotropic system and a system of self-consistent equationsdescribing the evolution of small perturbations are constructed.

gravitation and cosmology/gravitation and cosmology

Stability of the cosmological system of degenerated scalar charged  fermions and Higgs scalar fields. I. Mathematical model of linear plane  perturbations