TY - JOUR
T1 - Cosmological models with Yang-Mills fields
AU - Elizalde, E.
AU - López-Revelles, A. J.
AU - Odintsov, S. D.
AU - Vernov, S. Yu
PY - 2013/8/1
Y1 - 2013/8/1
N2 - 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. © 2013 Pleiades Publishing, Ltd.
AB - 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. © 2013 Pleiades Publishing, Ltd.
U2 - 10.1134/S1063778813080097
DO - 10.1134/S1063778813080097
M3 - Article
VL - 76
SP - 996
EP - 1003
JO - Physics of Atomic Nuclei
JF - Physics of Atomic Nuclei
SN - 1063-7788
IS - 8
ER -