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arXiv · hep-th/9112065

Euclidean Black Hole Vortices

Fay Dowker·Ruth Gregory·Jennie Traschen
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Abstract

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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Fay Dowker, Ruth Gregory, Jennie Traschen. 1991-12-20. Euclidean Black Hole Vortices. https://doi.org/10.1103/physrevd.45.2762

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