Non-Minimal Cosmological Model in Modified Yang--Mills Theory

TL;DR

This paper explores a non-minimal modified Yang-Mills cosmological model where the Yang-Mills field couples to gravity, demonstrating that such coupling can lead to cosmic acceleration with specific solutions analyzed.

Contribution

It introduces a novel non-minimal coupling between Yang-Mills fields and gravity in cosmology, providing detailed equations and solutions for accelerated expansion.

Findings

Cosmic acceleration can be achieved through non-minimal Yang-Mills coupling.

Power-law coupling functions yield explicit cosmological solutions.

The model offers an alternative explanation for accelerated universe expansion.

Abstract

In the present paper, we consider a model of non-minimal modified Yang-Mills theory in the Friedmann-Robertson-Walker cosmology, in which the Yang-Mills 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 Yang-Mills 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.