Abelian Higgs hair for extreme black holes and selection rules for snapping strings

Details Abelian Higgs hair for extreme black holes and selection rules for snapping strings Abelian Higgs hair for extreme black holes and selection rules for snapping strings

1997-06-12

arxiv.org/abs/gr-qc/9706032v1

Phys.Rev.Lett. 80 (1998) 4378-4381

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages REVTeX plus 3 figures. Additional figures and mpeg movies available at http://www.damtp.cam.ac.uk/user/ats25/strhole.h

Scientific paper

10.1103/PhysRevLett.80.4378

It has been argued that a black hole horizon can support the long range fields of a Nielsen-Olesen string, and that one can think of such a vortex as black hole ``hair''. We show that the fields inside the vortex are completely expelled from a charged black hole in the extreme limit (but not in the near extreme limit). This would seem to imply that a vortex cannot be attached to an extreme black hole. Furthermore, we provide evidence that it is energetically unfavourable for a thin vortex to interact with a large extreme black hole. This dispels the notion that a black hole can support `long' Abelian Higgs hair in the extreme limit. We discuss the implications for strings that end at black holes, as in processes where a string snaps by nucleating black holes.

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