Finite mass gravitating Yang monopoles

TL;DR

This paper demonstrates that gravity regularizes the infra-red divergence of Yang monopoles, resulting in finite mass solutions in curved backgrounds, and presents new exact solutions in Einstein-Gauss-Bonnet-Yang-Mills theory.

Contribution

It shows how gravity cures divergences in Yang monopoles and introduces exact solutions in Einstein-Gauss-Bonnet-Yang-Mills theory.

Findings

Gravity makes Yang monopoles have finite mass in curved backgrounds.

Exact Yang-monopole solutions are found in Einstein-Gauss-Bonnet-Yang-Mills theory.

The solutions have well-defined conserved quantities in cosmological settings.

Abstract

We show that gravity cures the infra-red divergence of the Yang monopole when a proper definition of conserved quantities in curved backgrounds is used, i.e. the gravitating Yang monopole in cosmological Einstein theory has a finite mass in generic even dimensions (including time). In addition, we find exact Yang-monopole type solutions in the cosmological Einstein-Gauss-Bonnet-Yang-Mills theory and briefly discuss their properties.