Stable black hole solutions with non-Abelian fields

TL;DR

This paper presents new stable black hole solutions with non-Abelian gauge fields in Einstein-Yang-Mills theory, showing they can be thermodynamically favored over traditional solutions and possess non-Abelian hair.

Contribution

It introduces finite mass, asymptotically flat black holes with non-Abelian hair in Einstein-Yang-Mills theory including higher order curvature terms, demonstrating their stability and thermodynamic preference.

Findings

Black holes with non-Abelian hair exist in the theory.

These solutions are thermodynamically preferred below a critical temperature.

The solutions are stable under linear, spherically symmetric perturbations.

Abstract

We construct finite mass, asymptotically flat black hole solutions in d=4 Einstein-Yang-Mills theory augmented with higher order curvature terms of the gauge field. They possess non-Abelian hair in addition to Coulomb electric charge, and, below some non-zero critical temperature, they are thermodynamically preferred over the Reissner-Nordstrom solution. Our results indicate the existence of hairy non-Abelian black holes which are stable under linear, spherically symmetric perturbations.