Abelian Higgs Hair for Electrically Charged Dilaton Black Holes

Abstract

It is argued that an electronically charged dilaton black hole can support a long range field of a Nielsen-Olesen string. Combining both numerical and perturbative techniques we examine the properties of an Abelian-Higgs vortex in the presence of the black hole under consideration. Allowing the black hole to approach extremality we found that all fields of the vortex are expelled from the extreme black hole. In the thin string limit we obtained the metric of a conical electrically charged dilaton black hole. The effect of the vortex can be measured from infinity justifying its characterization as black hole hair.

13 pages, 14 figures, Revtex, to appear in Phys.Rev.D15

References in corpus (3)

• Existence Theorems for Hairy Black Holes in su(N) Einstein-Yang-Mills theories
• Abelian Higgs hair for extreme black holes and selection rules for snapping strings
• Can extreme black holes have (long) Abelian Higgs hair?

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• Reissner-Nordstrom Black Holes and Thick Domain Walls
• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• The Question of Abelian Higgs Hair Expulsion from Extremal Dilaton Black Holes
• Euclidean Dilaton Black Hole Vortex and Dirac Fermions
• Vortices and black holes in dilatonic gravity
• Cosmological Black Holes on Branes
• Thick Domain Walls and Charged Dilaton Black Holes
• Thick Domain Walls in AdS Black Hole Spacetimes
• Dirac Fermions in Non-trivial Topology Black Hole Backgrounds
• Superconducting Hair on Charged Black String Background
• Dark matter cosmic string in the gravitational field of a black hole