Stability of the Cosmological System of Degenerate Scalarly Charged Fermions and Higgs Scalar Fields. II. Evolution of Short-wave Perturbations

Abstract

Abstract: A mathematical model is formulated for the evolution of plane perturbations in the cosmological statistical system of completely degenerate scalarly charged fermions with Higgs scalar interaction for short-wave perturbations. These disturbance modes have been found and investigated. It is shown that in such a model an additional oscillation mode arises, which is associated directly with degenerate fermions, in which there exist monotonically decreasing and increasing perturbations. In this case, there is such a time instant in the system that the potential of the scalar field, together with the energy density, tends to infinity. In this regard, an assumption is made on a possible mechanism for the formation of dark matter condensates.