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

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