Limiting solutions of sequences of globally regular and black hole solutions in SU(N)-EYMD theories

Abstract

Static spherically symmetric solutions in SU(N)-EYM and EYMD theories are classified by the node numbers of their non-trivial gauge field functions. With increasing node numbers, the solutions form sequences, tending to limiting solutions. The limiting solutions are based on subalgebras of $su(N)$, consisting of a neutral non-abelian part and a charged abelian part, belonging to the Cartan subalgebra

3 pages, LaTeX, mprocl.sty and 2 ps files included, talk given in the Hairy Black Holes session at the MG8 conference