Non-minimal Einstein-Yang-Mills-Higgs theory: Associated, color and color-acoustic metrics for the Wu-Yang monopole model

TL;DR

This paper explores a non-minimal Einstein-Yang-Mills-Higgs model with anisotropy, analyzing how color and color-acoustic waves propagate in a Wu-Yang monopole gravitational background, revealing new insights into wave behavior in such fields.

Contribution

It introduces a non-minimal Einstein-Yang-Mills-Higgs framework with anisotropy and studies wave propagation in Wu-Yang monopole backgrounds, highlighting novel effects.

Findings

Color and color-acoustic waves exhibit unique propagation characteristics.

The model reveals anisotropic effects on wave behavior.

Insights into wave dynamics in non-minimal monopole backgrounds.

Abstract

We discuss a non-minimal Einstein-Yang-Mills-Higgs model with uniaxial anisotropy in the group space associated with the Higgs field. We apply this theory to the problem of propagation of color and color-acoustic waves in the gravitational background related to the non-minimal regular Wu-Yang monopole.