Vortices and extreme black holes: the question of flux expulsion

Details Vortices and extreme black holes: the question of flux expulsion Vortices and extreme black holes: the question of flux expulsion

1998-10-19

arxiv.org/abs/gr-qc/9810061v2

Phys.Rev. D59 (1999) 084022

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.59.084022

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.

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