Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity

TL;DR

This paper explores how non-minimal couplings in Yang-Mills and vector-$F(R)$ gravity models can explain both early inflation and late-time accelerated expansion, aligning with observational constraints.

Contribution

It introduces novel non-minimal YM and vector-$F(R)$ gravity models that unify inflation and dark energy phenomena, including their dualities and cosmological reconstructions.

Findings

Power-law inflation achieved via non-minimal YM coupling.

Both inflation and late-time acceleration compatible with solar system tests.

Duality and reconstruction methods for non-minimal YM theories developed.

Abstract

We study inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills (YM) theory, in which the YM field couples to a function of the scalar curvature. It is shown that power-law inflation can be realized due to the non-minimal YM field-gravitational coupling which maybe caused by quantum corrections. Moreover, it is demonstrated that both inflation and the late-time accelerated expansion of the universe can be realized in a modified YM-$F(R)$ gravity which is consistent with solar system tests. Furthermore, it is shown that this result can be realized also in a non-minimal vector-$F(R)$ gravity. In addition, we consider the duality of the non-minimal electromagnetic theory and that of the non-minimal YM theory, and also discuss the cosmological reconstruction of the YM theory.