Dyonic Non-Abelian Black Holes

TL;DR

This paper investigates static dyonic black holes in Einstein-Yang-Mills-Higgs theory, analyzing their existence limits, critical parameters, and properties of excited and regular solutions.

Contribution

It provides analytical and numerical insights into the existence domain and critical behavior of dyonic non-abelian black holes, including excited states and regular dyons.

Findings

Existence domain limited by horizon radius and coupling constant

Critical coupling constant relates to black hole charge

Identification of radially excited and regular solutions

Abstract

We study static spherically symmetric dyonic black holes in Einstein-Yang-Mills-Higgs theory. As for the magnetic non-abelian black holes, the domain of existence of the dyonic non-abelian black holes is limited with respect to the horizon radius and the dimensionless coupling constant $\alpha$, which is proportional to the ratio of vector meson mass and Planck mass. At a certain critical value of this coupling constant, $\hat \alpha$, the maximal horizon radius is attained. We derive analytically a relation between $\hat \alpha$ and the charge of the black hole solutions and confirm this relation numerically. Besides the fundamental dyonic non-abelian black holes, we study radially excited dyonic non-abelian black holes and globally regular gravitating dyons.