Euclidean Black Hole Vortices

Details Euclidean Black Hole Vortices Euclidean Black Hole Vortices

1991-12-20

arxiv.org/abs/hep-th/9112065v1

Phys.Rev.D45:2762-2771,1992

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

10.1103/PhysRevD.45.2762

We argue the existence of solutions of the Euclidean Einstein equations that correspond to a vortex sitting at the horizon of a black hole. We find the asymptotic behaviours, at the horizon and at infinity, of vortex solutions for the gauge and scalar fields in an abelian Higgs model on a Euclidean Schwarzschild background and interpolate between them by integrating the equations numerically. Calculating the backreaction shows that the effect of the vortex is to cut a slice out of the Euclidean Schwarzschild geometry. Consequences of these solutions for black hole thermodynamics are discussed.

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