Abelian Higgs Hair for Electrically Charged Dilaton Black Holes

Details Abelian Higgs Hair for Electrically Charged Dilaton Black Holes Abelian Higgs Hair for Electrically Charged Dilaton Black Holes

1998-08-19

arxiv.org/abs/hep-th/9808110v1

Phys.Rev. D58 (1998) 124016

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.58.124016

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.

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