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Phys. Rev. D 52, 5729–5742 (1995)

Abelian Higgs hair for black holes

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Ana Achúcarro
Departamento de Física Teórica, Universidad del País Vasco, Lejona, Vizcaya, Spain
Department of Mathematics, Tufts University, Medford, Massachusetts 02155
Department of Theoretical Physics, University of Groningen, The Netherlands

Ruth Gregory
DM.T.P. University of Cambridge, Silver Street, Cambridge, CB3 9EW, United Kingdom
Centre for Particle Theory, Durham University, South Road, Durham, DH1 3LE, United Kingdom

Konrad Kuijken
Departamento de Física Teórica, Universidad del País Vasco, Lejona, Vizcaya, Spain
Kapteyn Instituut, P.O. Box 800, 9700 AV, Groningen, The Netherlands

Received 5 June 1995; published in the issue dated 15 November 1995

We find evidence for the existence of solutions of the Einstein and Abelian Higgs field equations describing a black hole pierced by a Nielsen-Olesen vortex. This situation falls outside the scope of the usual no-hair arguments due to the nontrivial topology of the vortex configuration and the special properties of its energy-momentum tensor. By a combination of numerical and perturbative techniques we conclude that the black hole horizon has no difficulty in supporting the long-range fields of the Nielsen-Olesen string. Moreover, the effect of the vortex can in principle be measured from infinity, thus justifying its characterization as black hole ‘‘hair.’’

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.5729
DOI:
10.1103/PhysRevD.52.5729
PACS:
04.40.Nr, 04.70.Bw, 11.27.+d, 98.80.Cq
 
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