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2022, no. 1

GRAVITATIONAL-SCALAR UNSTABILITY OF A COSMOLOGICAL MODEL BASED ON A TWO-COMPONENT STATISTICAL SYSTEM WITH ASYMMETRIC SCALAR HIGGS FERMION INTERACTION

Ignatev Yu.G.

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 evolutionary equations of small perturbations are constructed. Solutions of the system of evolutionary equations are found and studied in the short-wavelength approximation. 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.

Keywords: scalarly charged plasma, cosmological model, scalar fields, asymmetric scalar doublet, gravitational stability, shortwave approximation.

UDC: 5530.12+531.51+517.944+519.713+514.774+519.711.3+551.5.001.57+517.957

PACS: 04.20.Cv, 98.80.Cq, 96.50.S, 52.27.Ny, 02.60.Cb, 07.05.Tp, 04.25.-g

DOI: 10.17238/issn2226-8812.2022.1.64-89

Please cite this article in English as:
Ignatev Yu.G. Gravitational-scalar unstability of a cosmological model based on a two-component statistical system with asymmetric scalar Higgs fermion interaction. Space, Time and Fundamental Interactions, 2022, no. 38, pp. 64-89.