Euclidean black hole vortices

Details Euclidean black hole vortices Euclidean black hole vortices

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991stin...9226436d&link_type=abstract

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Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Einstein Equations, Euclidean Geometry, Event Horizon, Gravitation Theory, Iterative Solution, Vortices, Asymptotic Methods, Entropy, Euler-Lagrange Equation, Schwarzschild Metric, Thermodynamics

Scientific paper

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 behaviors, 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 Schwarzschild geometry. Consequences of these solutions for black hole thermodynamics are discussed.

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