Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies

Understand

We apply a new global dynamical systems formulation to flat Robertson-Walker cosmologies with a massless and massive Yang-Mills field and a perfect-fluid with linear equation of state as the matter sources.

• This allows us to give proofs concerning the global dynamics of the models including asymptotic source-dominance towards the past and future time directions.
• For the pure massless Yang-Mills field, we also contextualize well-known explicit solutions in a global (compact) state space picture.