Magnetically Charged Black Holes and their Stability

TL;DR

This paper investigates magnetically charged black holes within Einstein-Yang-Mills-Higgs theory, revealing new extremal solutions and demonstrating their stability, which has implications for their semiclassical evolution.

Contribution

It provides a comprehensive analysis of static spherically symmetric black hole solutions, including a novel class of extremal nonabelian solutions, and establishes their stability.

Findings

Discovery of a new class of extremal nonabelian solutions

All nonabelian solutions are stable against linear radial perturbations

Implications for the semiclassical evolution of magnetically charged black holes

Abstract

We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs theory in the limit of infinitely strong coupling of the Higgs field. Using mixed analytical and numerical methods we give a complete description of static spherically symmetric black hole solutions, both abelian and nonabelian. In particular, we find a new class of extremal nonabelian solutions. We show that all nonabelian solutions are stable against linear radial perturbations. The implications of our results for the semiclassical evolution of magnetically charged black holes are discussed.