Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies
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.
- Publication:
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Journal of Mathematical Physics
- Pub Date:
- March 2020
- DOI:
- arXiv:
- arXiv:1910.04678
- Bibcode:
- 2020JMP....61c2502A
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 22 pages, 11 figures