E. Elizalde, A. J. Lopez-Revelles, S. D. Odintsov, S. Yu. Vernov
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- and fourth-order terms, 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.
View original:
http://arxiv.org/abs/1201.4302
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