Eluding the no-hair conjecture: black holes in spontaneously broken gauge theories

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 standar...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1993-03, Vol.47 (6), p.2242-2259
Main Authors: GREENE, B. R, MATHUR, S. D, O'NEILL, C. M
Format: Article
Language:English
Subjects:
BLACK HOLES
Classical general relativity
ELEMENTARY PARTICLES
Exact sciences and technology
General relativity and gravitation
HIGGS BOSONS
MATHEMATICAL MODELS
MATHEMATICS
NUMERICAL ANALYSIS
Pa
PARTICLE MODELS
Particle Systematics > Unified Theories & Models > (1992-)
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POSTULATED PARTICLES
STABILITY
STANDARD MODEL
SYMMETRY BREAKING
UNIFIED GAUGE MODELS 662210 > Specific Theories & Interaction Models
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Summary: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 nontrivial gauge and Higgs configurations decaying exponentially [ital 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.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.47.2242