Asymptotically flat, stable black hole solutions in Einstein--Yang-Mills--Chern-Simons theory

TL;DR

This paper constructs finite mass, asymptotically flat black hole solutions in five-dimensional Einstein--Yang-Mills--Chern-Simons theory, revealing phase transitions and stability properties of non-Abelian black holes.

Contribution

It presents the first finite mass, asymptotically flat black hole solutions in this theory, including a closed-form extremal solution and analysis of phase transitions.

Findings

Existence of a second order phase transition between Reissner-Nordstrom and non-Abelian black holes.

Some non-Abelian solutions are stable under linear perturbations.

A closed-form extremal black hole solution with non-Abelian hair is found.

Abstract

We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein--Yang-Mills--Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reissner-Nordstrom solutions and the non-Abelian black holes which generically are thermodynamically preferred. Some of the non-Abelian configurations are also stable under linear, spherically symmetric perturbations. In addition a solution in closed form describing an extremal black hole with non-Abelian hair is found for a special value of the Chern-Simons coupling constant.