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• W2149148908 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 analyze 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 behavior. 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 back reaction of the vortex on the geometry, and comment on the more general vortex--black hole system." @default.
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• W2149148908 date "1999-03-24" @default.
• W2149148908 modified "2023-09-25" @default.
• W2149148908 title "Vortices and extreme black holes: The question of flux expulsion" @default.
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• W2149148908 doi "https://doi.org/10.1103/physrevd.59.084022" @default.
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