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Paper   IPM / Physic / 6904
School of Physics
  Title:   Abelian Higgs Hair for Static Charged Black String
  Author(s): 
1.  M.H. Dehghani
2.  T. Jalili
  Status:   Published
  Journal: Phys. Rev. D
  No.:  50
  Vol.:  66
  Year:  2002
  Pages:   124014
  Supported by:  IPM
  Abstract:
We study the problem of vortex solutions in the background of an electrically charged black string. We show numerically that the Abelian Higgs field equations in the background of a four-dimensional black string have vortex solutions. These solutions which have axial symmetry, show that the black string can support the Abelian Higgs field as hair. This situation holds also in the case of the extremal black string. We also consider the self-gravity of the Abelian Higgs field and show that the effect of the vortex is to induce a deficit angle in the metric under consideration.

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