Chamblin, A.Ashbourn-Chamblin, J. M. A.Emparan García de Salazar, Roberto A.Sornborger, A.2010-07-052010-07-0519980031-9007https://hdl.handle.net/2445/13245It 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 unfavorable 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.4 p.application/pdfeng(c) American Physical Society, 1998Relativitat (Física)GravitacióTeoria de camps (Física)Partícules (Física)EstelsGeneral relativity and gravitationGeneral theory of fields and particlesStarsinfo:eu-repo/semantics/article510695info:eu-repo/semantics/openAccess