Complete cosmological evolution model of a classical scalar field with a Higgs potential. III. Features of phase trajectory flows

TL;DR

This paper investigates the behavior of phase trajectories in cosmological models with a classical Higgs field, focusing on how singular points influence phase flow splitting and demonstrating the utility of the Einstein-Higgs hypersurface through numerical simulations.

Contribution

It provides a detailed analysis of phase trajectory flows near singular points in Higgs field cosmological models, highlighting the role of the Einstein-Higgs surface.

Findings

Singular points significantly affect phase flow splitting.

The Einstein-Higgs hypersurface effectively models phase trajectory behavior.

Numerical simulations confirm the theoretical predictions.

Abstract

The flows of phase trajectories of cosmological models based on the vacuum classical Higgs field and their behavior on the Einstein-Higgs surface near singular points of a dynamical system are investigated by numerical simulation. The influence of the singular points on the process of phase flow splitting is shown and the efficiency of the Einstein-Higgs hypersurface application is demonstrated.