Numerical Simulations of a Spherically Symmetric Yang-Mills system on a de Sitter Manifold

TL;DR

This paper explores the dynamics of a Yang-Mills system on a de Sitter manifold through numerical simulations, revealing non-stationary solutions and deriving boundary conditions from energy principles.

Contribution

It introduces a numerical approach to study Yang-Mills dynamics on a de Sitter background and identifies non-stationary solutions with derived boundary conditions.

Findings

Existence of non-stationary solutions demonstrated

Boundary conditions derived from energy considerations

Numerical simulations confirm dynamic behavior

Abstract

In this paper we discuss the dynamics of the cosmological Bartnick-McKinnon analogue with $n=1$ and $\Lambda=\Lambda_{reg}(n)$ . We derive boundary conditions from energy considerations. Numerical simulations are carried out to show the existence of a non-stationary solution.