Complete cosmological evolution model of a classical scalar field with a higgs potential. II. Numerical simulation

TL;DR

This paper presents a numerical simulation of a cosmological model involving a classical scalar field with a Higgs potential, revealing that such models tend to transition from expansion to contraction, indicating instability.

Contribution

It provides a comprehensive numerical analysis of the full evolution of a Higgs-field-based cosmological model without assuming a nonnegative Hubble constant, highlighting its instability.

Findings

Most initial conditions lead to a transition from expansion to contraction.

The model demonstrates instability to finite perturbations.

Numerical simulation confirms the theoretical predictions.

Abstract

A complete cosmological evolution model of the classical scalar field with a Higgs potential is studied and simulated on a computer without the assumption that the Hubble constant is nonnegative. It is shown that with most initial conditions, the cosmological model goes from the expansion stage to the compression stage. Thus, cosmological models based on the classical Higgs field are unstable to finite perturbations.