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

Abstract

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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References in corpus (6)

• Cosmic strings in dilaton gravity
• Vortices and extreme black holes: the question of flux expulsion
• Abelian Higgs hair for extreme black holes and selection rules for snapping strings
• Can extreme black holes have (long) Abelian Higgs hair?
• Comment on ``Absence of abelian Higgs hair for extremal black holes''
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• Cosmological Black Holes on Branes
• Thick Domain Walls in AdS Black Hole Spacetimes
• Dirac Fermions in Non-trivial Topology Black Hole Backgrounds
• Superconducting Hair on Charged Black String Background
• Evolution of Massive Scalar Fields in the Spacetime of a Tense Brane Black Hole
• Dark matter cosmic string in the gravitational field of a black hole