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arXiv · 1201.4302

Cosmological models with Yang-Mills fields

E. Elizalde·A. J. Lopez-Revelles·S. D. Odintsov·S. Yu. Vernov
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Abstract

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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E. Elizalde, A. J. Lopez-Revelles, S. D. Odintsov, S. Yu. Vernov. 2012-03-07. Cosmological models with Yang-Mills fields. https://doi.org/10.1134/s1063778813080097

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