Phys. Rev. Lett. 80, 4378–4381 (1998)

Absence of Abelian Higgs Hair for Extreme Black Holes

Abstract

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A. Chamblin^1,4, J. M. A. Ashbourn-Chamblin², R. Emparan³, and A. Sornborger⁴
¹Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030
²Wolfson College, University of Oxford, Oxford OX2 6UD, England
³Department of Physics, University of California, Santa Barbara, California 93106
⁴DAMTP, Silver Street, Cambridge, CB3 9EW, England

Received 13 June 1997; published in the issue dated 18 May 1998

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 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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.80.4378

DOI:

10.1103/PhysRevLett.80.4378

PACS:

04.70.-s, 04.40.Nr, 11.27.+d, 98.80.Cq

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Phys. Rev. Lett. 80, 4378–4381 (1998)

Absence of Abelian Higgs Hair for Extreme Black Holes

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