Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity

TL;DR

This paper demonstrates that non-minimal Yang-Mills-$f(G)$ gravity can produce both early inflation and late-time cosmic acceleration, offering a unified framework for different cosmic acceleration phases.

Contribution

It introduces a novel non-minimal coupling of Yang-Mills fields with a general function of the Gauss-Bonnet invariant, unifying early and late cosmic acceleration.

Findings

Power-law inflation achieved via non-minimal coupling.

Both inflation and late-time acceleration are possible in the model.

Quantum corrections may induce the non-minimal coupling.

Abstract

In this paper we show that power-law inflation can be realized in non-minimal gravitational coupling of Yang-Mills field with a general function of the Gauss-Bonnet invariant in the framework of Einstein gravity. Such a non-minimal coupling may appear due to quantum corrections. We also discuss the non-minimal Yang-Mills-$f(G)$ gravity in the framework of modified Gauss-Bonnet action which is widely studied recently. It is shown that both inflation and late-time cosmic acceleration are possible in such a theory.