New Model Explores Spherical Perturbations in Cosmological Environments

A new mathematical model has been developed to analyze the evolution of spherical perturbations in a cosmological environment that includes the Higgs scalar field and an ideal scalar charged fluid. The research, conducted by Yu. G. Ignat'ev, presents a closed mathematical formulation for linear spherical perturbations within this cosmological framework.

Key findings indicate that spherical perturbations of the Friedmann metric can only occur in the presence of an isotropic fluid. At singular points within the background cosmological model, metric perturbations do not manifest, and instead, these perturbations are described by a vacuum-field model. The study identifies two distinct behaviors of perturbations at singular points: in stable singular points, the scalar field perturbations behave as traveling waves, while in unstable singular points, they exhibit characteristics of exponentially growing standing waves.

The research also utilizes numerical modeling to demonstrate the formation of a stratified halo, represented by these growing standing waves. This work contributes to the understanding of gravitational stability and the dynamics of scalar charged plasmas in cosmological models, which may have implications for future studies in cosmology and theoretical physics.

The paper is titled "Evolution of spherical perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid" and can be cited as arXiv:2408.15129.