Magnetically Charged Black Holes with Hair

TL;DR

This paper explores magnetically charged black holes, revealing new solutions with nontrivial matter fields outside the horizon, including non-spherically symmetric cases with multiple magnetic charges, challenging traditional symmetry assumptions.

Contribution

It introduces novel static black hole solutions with magnetic hair, including non-spherically symmetric configurations, in theories with electrically charged vector mesons.

Findings

Existence of black holes with magnetic hair outside the horizon.

Discovery of non-axially symmetric solutions with multiple magnetic charges.

First examples of time-independent black holes lacking rotational symmetry.

Abstract

In these lectures the properties of magnetically charged black holes are described. In addition to the standard Reissner-N\"ordstrom solution, there are new types of static black holes that arise in theories containing electrically charged massive vector mesons. These latter solutions have nontrivial matter fields outside the horizon; i.e., they are black holes with hair. While the solutions carrying unit magnetic charge are spherically symmetric, those with more than two units of magnetic charge are not even axially symmetric. These thus provide the first example of time-independent black hole solutions that have no rotational symmetry.