Abelian Higgs Hair for a Static Charged Black String

Details Abelian Higgs Hair for a Static Charged Black String Abelian Higgs Hair for a Static Charged Black String

2002-09-15

arxiv.org/abs/hep-th/0209124v2

Phys.Rev. D66 (2002) 124014

Physics

High Energy Physics

High Energy Physics - Theory

REVTEX4, 12 pages, 6 figures, The version to be appeared in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.124014

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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