1992/11/04 by Brian R. Greene, Samir D. Mathur, Christopher M. O'Neill · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.47.2242
published as Phys.Rev. D47 (1993) 2242-2259 · 35 pages, phyzzx, (CLNS-92/1162, CTP-2160)
arxiv created 1992/11/04 · arxiv updated 2009/11/30
We study regular and black hole solutions to the coupled classical Einstein--Yang-Mills--Higgs system. It has long been thought that black hole solutions in the spontaneously broken phase of such a theory could have no nontrivial field structure outside of the horizon. We first show that the standard black hole no-hair theorem underlying this belief, although true in the abelian setting, does not necessarily extend to the non-abelian case. This indicates the possibility of solutions with non-trivial gauge and Higgs configurations decaying exponentially \it outside the horizon. We then find such solutions by numerical integration of the classical equations for the case of SU(2) coupled to a Higgs doublet (the standard model less hypercharge). As a prelude to this work we also study regular and black hole solutions to Einstein--Non-Abelian--Proca theory and as a postscript we briefly discuss the important issue of stability.