NON-MINIMAL COSMOLOGICAL MODEL IN MODIFIED YANG–MILLS THEORY

Abstract

In this paper, we consider a model of non-minimal modified Yang–Mills (Y-M) theory in the Friedmann–Robertson–Walker (FRW) cosmology, in which the Y-M field couples to the scalar curvature through a function of its first invariant. We show that cosmic acceleration can be realized due to non-minimal gravitational coupling of the modified Y-M theory. Besides general study, we consider in detail the case of power-law coupling function. We derive the basic equations for the cosmic scale factor in our model, and provide several examples of their solutions.