Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-11-02
Phys.Rev. D47 (1993) 2242-2259
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, phyzzx, (CLNS-92/1162, CTP-2160)
Scientific paper
10.1103/PhysRevD.47.2242
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.
Greene Brian R.
Mathur Samir D.
O'Neill Christopher M.
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