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

Abstract

A mathematical model of the evolution of plane perturbations in the cosmological statistical system of completely degenerate scalar-charged fermions with Higgs scalar interaction for short-wave perturbations is formulated. 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 monotonically decreasing and increasing perturbations of the metric exist. 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 about a possible mechanism for the formation of dark matter condensates.

6 pages, 6 references, 4 figures

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• Statistical system with fantom scalar interaction. II. Macroscopic Equations and Cosmological Models
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• The Method of Self-Consistent Field and Macroscopical Einstein Equations for the Early Universe
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Cited by in corpus (4)

• Cosmological Models Based on a Statistical System of Scalar Charged Degenerate Fermions and an Asymmetric Higgs Scalar Doublet
• Cosmological evolution of a statistical system of degenerate scalar-charged fermions with an asymmetric scalar doublet. I. Two-component system of assorted charges
• Gravitational - Scalar Instability of a Two-Component Degenerate System of Scalar Charged Fermions with Asymmetric Higgs Interaction
• Gravitational-Scalar Instability of a Cosmological Model Based on a Two-Component System of Degenerate Scalarly Charged Fermions with Asymmetric Higgs Interaction. I. Equations for Perturbations