Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abelian Higgs hair for extreme black holes and selection rules for
  snapping strings   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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The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con