Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields

TL;DR

This paper reviews non-Abelian gauge field solutions in gravity, focusing on particle-like and black hole configurations, their structures, generalizations, and stability, connecting with flat space soliton physics.

Contribution

It provides a comprehensive overview of gravitating non-Abelian solutions, including new generalizations and stability analysis, linking flat space solitons with gravitational counterparts.

Findings

Description of Bartnik-McKinnon solitons and non-Abelian black holes

Analysis of solutions with higher gauge groups, cosmological constant, and dilaton

Discussion on stability and generalizations of flat space monopoles, sphalerons, and Skyrmions

Abstract

We present a review of gravitating particle-like and black hole solutions with non-Abelian gauge fields. The emphasis is given to the description of the structure of the solutions and to the connection with the results of flat space soliton physics. We describe the Bartnik-McKinnon solitons and the non-Abelian black holes arising in the Einstein-Yang-Mills theory, and their various generalizations. These include axially symmetric and slowly rotating configurations, solutions with higher gauge groups, $\Lambda$-term, dilaton, and higher curvature corrections. The stability issue is discussed as well. We also describe the gravitating generalizations for flat space monopoles, sphalerons, and Skyrmions.