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Abelian Higgs hair for electrically charged dilaton black holes

1998/08/19 by R. Moderski, Rafal Moderski, Marek Rogatko · 2 citations
Physics and Astronomy · #Accretion (finance) #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #Dilaton #Extremal black hole #Physics #Rotating black hole #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.58.124016

published as Phys.Rev. D58 (1998) 124016 · 13 pages, 14 figures, Revtex, to appear in Phys.Rev.D15

arxiv created 1998/08/19 · openalex publication_date 1998/11/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is argued that an electrically 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 find that all fields of the vortex are expelled from the extreme black hole. In the thin string limit we obtain 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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