Non-minimal Wu-Yang monopole

TL;DR

This paper presents new exact solutions to non-minimally extended Einstein-Yang-Mills equations, including a non-minimal Wu-Yang monopole, with both singular and regular classes of solutions and novel horizon and singularity structures.

Contribution

It introduces exact spherically symmetric solutions to non-minimal Einstein-Yang-Mills equations, including a non-minimal Wu-Yang monopole, expanding understanding of monopole configurations in gravity.

Findings

Solutions include Reissner-Nordström type with horizons and singularities.

Existence of regular solutions without singularities.

Identification of new non-minimal horizons and singularities.

Abstract

We discuss new exact spherically symmetric static solutions to non-minimally extended Einstein-Yang-Mills equations. The obtained solution to the Yang-Mills subsystem is interpreted as a non-minimal Wu-Yang monopole solution. We focus on the analysis of two classes of the exact solutions to the gravitational field equations. Solutions of the first class belong to the Reissner-Nordstr{\"o}m type, i.e., they are characterized by horizons and by the singularity at the point of origin. The solutions of the second class are regular ones. The horizons and singularities of a new type, the non-minimal ones, are indicated.