Cosmology in non-minimal Yang-Mills/Maxwell theory

TL;DR

This paper reviews how non-minimal coupling of Yang-Mills and Maxwell fields to gravity can drive inflation and late-time cosmic acceleration, analyzing models that avoid future singularities.

Contribution

It demonstrates the realization of inflation and late-time acceleration via non-minimal gravitational couplings in Yang-Mills and Maxwell theories, including conditions to prevent future singularities.

Findings

Power-law inflation achieved through non-minimal coupling.

Models can realize both early and late-time cosmic acceleration.

Conditions identified to avoid finite-time future singularities.

Abstract

We review cosmology in non-minimal Yang-Mills/Maxwell theory, in which the Yang-Mills/electromagnetic field couples to a function of the scalar curvature. We show that power-law inflation can be realized due to the non-minimal gravitational coupling of the Yang-Mills field which may be caused by quantum corrections. Moreover, we study non-minimal vector model in the framework of modified gravity and demonstrate that both inflation and the late-time accelerated expansion of the universe can be realized. We also discuss the cosmological reconstruction of the Yang-Mills theory. Furthermore, we investigate late-time cosmology in non-minimal Maxwell-Einstein theory. We explore the forms of the non-minimal gravitational coupling which generate the finite-time future singularities and the general conditions for this coupling in order that the finite-time future singularities cannot appear.