Spherical Non-Abelian Solutions in Conformal Gravity

TL;DR

This paper explores static spherically symmetric solutions in conformal gravity coupled with non-Abelian gauge fields, identifying finite-mass Yang-Mills solutions and monopole-like solutions with different asymptotic behaviors.

Contribution

It presents the first analysis of non-Abelian solutions in conformal gravity, including both pure Yang-Mills and Higgs monopole-like configurations.

Findings

Yang-Mills solutions have finite mass and approach vacuum geometry

Higgs monopole-like solutions do not decay fast enough for finite mass

Distinct asymptotic behaviors for different non-Abelian solutions

Abstract

We study static spherically-symmetric solutions of non-Abelian gauge theory coupled to Conformal Gravity. We find solutions for the self-gravitating pure Yang-Mills case as well as monopole-like solutions of the Higgs system. The former are localized enough to have finite mass and approach asymptotically the vacuum geometry of Conformal Gravity, while the latter do not decay fast enough to have analogous properties.