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arXiv · 1910.04678

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

Artur Alho·Vitor Bessa·Filipe C. Mena
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Abstract

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.

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Artur Alho, Vitor Bessa, Filipe C. Mena. 2020-04-20. Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies. https://doi.org/10.1063/1.5139879

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