Evolution of spherical perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid

TL;DR

This paper develops a mathematical model for the evolution of spherical perturbations in a cosmological scalar-charged fluid with Higgs interaction, revealing conditions for perturbation behavior and demonstrating halo formation through numerical simulations.

Contribution

It introduces a closed mathematical model for linear spherical perturbations in a scalar-charged cosmological fluid with Higgs interaction, including analysis at singular points and numerical modeling of halo formation.

Findings

Perturbations only occur with an isotropic fluid.

At singular points, perturbations are described by a vacuum-field model.

Stable singular points lead to traveling waves; unstable points lead to growing standing waves.

Abstract

A mathematical model of the evolution of spherical perturbations in a cosmological ideal scalar-charged fluid with scalar Higgs interaction is constructed. A closed mathematical model of linear spherical perturbations in a cosmological medium of a scalar-charged ideal fluid with scalar Higgs interaction is formulated. It is shown that spherical perturbations of the Friedmann metric are possible only in the presence of an isotropic fluid. At singular points of the background cosmological model, perturbations of the metric do not occur and perturbations are described by a vacuum-field model. Exact ones at singular points of the cosmological system are obtained and it is shown that in the case of a stable singular point of the cosmological system, perturbations of the scalar field represent traveling waves, and in the case of an unstable singular point, perturbations represent exponentially growing standing waves. Using numerical modeling, the formation of a stratified halo in the form of growing standing waves is shown. Key words: scalar charged plasma, cosmological model, scalar Higgs field, gravitational stability, spherical perturbations.