Nontopological Magnetic Monopoles and New Magnetically Charged Black Holes

TL;DR

This paper demonstrates the existence of finite energy magnetic monopole solutions in Abelian gauge theories with charged vector mesons, leading to new magnetically charged black holes with hair when coupled to gravity.

Contribution

It reveals non-topological magnetic monopole solutions in Abelian theories and introduces a new class of magnetically charged black holes with hair.

Findings

Finite energy monopoles exist without topological nontriviality.

Coupling to gravity yields magnetically charged black holes with hair.

Solutions depend on specific parameter relationships.

Abstract

The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of purely Abelian gauge theories containing charged vector mesons, even though the possibility of nontrivial topology does not even arise. provided that certain relationships among the parameters of the theory are satisfied. These solutions are singular if these relationships do not hold, but even then become meaningful once the theory is coupled to gravity, for they then give rise to an interesting new class of magnetically charged black holes with hair.