Dyonic Non-Abelian Black Holes

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 $\hat{I}\pm$, which is proportional to the ratio of vector meson mass and Planck mass. At a certain critical value of this coupling constant, $\hat{\hat{I}}\pm$, the maximal horizon radius is attained. We derive analytically a relation between $\hat{\hat{I}}\pm$ 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.

LaTeX, 22 pages, 16 figures, three figures added, file manipulation error in previous replace