Abstract
It has been shown that the set of the Einstein-Yang-Mills equations and the nonlinear scalar field have generalized solutions with a homogeneous scalar field, which interacts with the YM field in the Friedmann Universe.
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Shchigolev, V.K., Samaroo, K. Generalized Exact Cosmologies with Interacting Yang-Mills and Nonlinear Scalar Fields. General Relativity and Gravitation 36, 1661–1669 (2004). https://doi.org/10.1023/B:GERG.0000032158.16161.1b
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DOI: https://doi.org/10.1023/B:GERG.0000032158.16161.1b