Abelian Higgs Hair for Black Holes

Details Abelian Higgs Hair for Black Holes Abelian Higgs Hair for Black Holes

1995-05-22

arxiv.org/abs/gr-qc/9505039v3

Phys.Rev. D52 (1995) 5729-5742

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, plain tex, 7 figures included. minor corrections and references added

Scientific paper

10.1103/PhysRevD.52.5729

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 non-trivial 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".

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