Vortices and extreme black holes: the question of flux expulsion

Abstract

It has been claimed that extreme black holes exhibit a phenomenon of flux expulsion for abelian Higgs vortices, irrespective of the relative width of the vortex to the black hole. Recent work by two of the authors showed a subtlety in the treatment of the event horizon, which cast doubt on this claim. We analyse in detail the vortex/extreme black hole system, showing that while flux expulsion can occur, it does not do so in all cases. We give analytic proofs for both expulsion and penetration of flux, in each case deriving a bound for that behaviour. We also present extensive numerical work backing up, and refining, these claims, and showing in detail how a vortex can end on a black hole in all situations. We also calculate the backreaction of the vortex on the geometry, and comment on the more general vortex-black hole system.

28 pages revtex, 10 figures, minor changes, reference added

References in corpus (6)

• Superconducting p-branes and Extremal Black Holes
• Effective action and motion of a cosmic string
• 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''
• Selection rules for splitting strings

Cited by in corpus (28)

• Black Hole Thermodynamics with Conical Defects
• Braneworld stars and black holes
• Braneworld black holes
• Black holes on thick branes
• Accelerating Black Holes
• Decay of Dirac Massive Hair in the Background of Spherical Black Hole
• Polarimetric signatures of the photon ring of a black hole that is pierced by a cosmic axion string
• Primordial black holes from cusp collapse on cosmic strings
• Rotating black hole hair
• Dilaton Black Holes on Thick Branes
• Abelian Higgs Hair for a Static Charged Black String
• Abelian Higgs Hair for Rotating and Charged Black Holes
• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• Reissner-Nordstrom Black Holes and Thick Domain Walls
• The Question of Abelian Higgs Hair Expulsion from Extremal Dilaton Black Holes
• Euclidean Dilaton Black Hole Vortex and Dirac Fermions
• Hairy rotating black string in the Einstein-Maxwell-Higgs system
• Vortices and black holes in dilatonic gravity
• Thick Domain Walls and Charged Dilaton Black Holes
• Cosmological Black Holes on Branes
• Ringdown Spectroscopy of Rotating Black Holes Pierced by Cosmic Strings
• Thick Domain Walls in AdS Black Hole Spacetimes
• Dirac Fermions in Non-trivial Topology Black Hole Backgrounds
• Black Holes under External Influence
• Superconducting Hair on Charged Black String Background
• On the fundamental length of quantum geometry and the black hole entropy
• Macroscopic open strings and gravitational confinement
• Dark matter cosmic string in the gravitational field of a black hole