Cosmological models with Yang-Mills fields

Details Cosmological models with Yang-Mills fields Cosmological models with Yang-Mills fields

2012-01-20

arxiv.org/abs/1201.4302v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, v2: refs. added

Scientific paper

Cosmological models with an SU(2) Yang-Mills field are studied. For a specific model with a minimally coupled Yang-Mills Lagrangian, which includes an arbitrary function of the second-order term and a fourth-order term, a corresponding reconstruction program is proposed. It is shown that the model with minimal coupling has no de Sitter solutions, for any nontrivial function of the second-order term. To get de Sitter solutions, a gravitational model with nonminimally coupled Yang-Mills fields is then investigated. It is shown that the model with non-minimal coupling has in fact a de Sitter solution, even in absence of the cosmological constant term.

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