The Question of Abelian Higgs Hair Expulsion from Extremal Dilaton Black Holes

Details The Question of Abelian Higgs Hair Expulsion from Extremal Dilaton Black Holes The Question of Abelian Higgs Hair Expulsion from Extremal Dilaton Black Holes

1999-07-06

arxiv.org/abs/hep-th/9907025v1

Phys.Rev. D60 (1999) 104040

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 2 figures

Scientific paper

10.1103/PhysRevD.60.104040

It has been argued that the extremal dilaton black holes exhibit a flux expulsion of Abelian-Higgs vortices. We re-examine carefully the problem and give analytic proofs for the flux expulsion always takes place. We also conduct numerical analysis of the problem using three initial data sets on the horizon of an extreme dilatonic black hole, namely, core, vacuum and sinusoidal initial conditions. We also show that an Abelian-Higgs vortex can end on the extremal dilaton black hole. Concluding, we calculate the backreaction of the Abelian-Higgs vortex on the geometry of the extremal black hole and drew a conclusion that a straight cosmic string and the extreme dilaton black hole hardly knew their presence.

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