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dc.contributor.authorAshbourn-Chamblin, J. M.
dc.contributor.authorEmparan García de Salazar, Roberto
dc.description.abstractIt 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." In this paper, we examine the properties of an Abelian Higgs vortex in the presence of a charged black hole as we allow the hole to approach extremality. Using both analytical and numerical techniques, we show that the magnetic field lines (as well as the scalar field) of the vortex are completely expelled from the black hole in the extreme limit. This was to be expected, since extreme black holes in Einstein-Maxwell theory are known to exhibit such a "Meissner effect" in general. This would seem to imply that a vortex does not want to be attached to an extreme black hole. We calculate the total energy of the vortex fields in the presence of an extreme black hole. When the hole is small relative to the size of the vortex, it is energetically favored for the hole to remain inside the vortex region, contrary to the intuition that the hole should be expelled. However, as we allow the extreme horizon radius to become very large compared to the radius of the vortex, we do find evidence of an instability. This proves that it is energetically unfavorable for a thin vortex to interact with a large extreme black hole. This would seem to dispel the notion that a black hole can support "long" Abelian Higgs hair in the extreme limit. We show that these considerations do not go through in the near-extreme limit. Finally, we discuss the implications for strings that end at black holes, as in the processes where a string snaps by nucleating black holes.eng
dc.publisherThe American Physical Societyeng
dc.relation.isformatofReproducció digital del document publicat en format paper, proporcionada per PROLA i
dc.relation.ispartofPhysical Review D, 1998, vol. 58, núm. 12, p. 124014-1-124014-11cat
dc.rights(c) The American Physical Society, 1998eng
dc.subject.classificationRelativitat general (Física)cat
dc.subject.classificationTeoria de camps (Física)cat
dc.subject.classificationForats negres (Astronomia)cat
dc.subject.classificationPartícules (Física nuclear)cat
dc.subject.classificationSolucions numèriquescat
dc.subject.otherGeneral relativity (Physics)eng
dc.subject.otherField theory (Physics)eng
dc.subject.otherBlack holes (Astronomy)eng
dc.subject.otherParticles (Nuclear physics)cat
dc.subject.otherNumerical solutionseng
dc.titleCan extreme black Holes have (long) Abelian Higgs hair?eng
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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