1991/12/20 by Fay Dowker, Ruth Gregory, Jennie Traschen · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Euclidean geometry #General relativity #Geometry #Gravitation #Higgs boson #Mathematical physics #Mathematics #Mechanics #Non-Euclidean geometry #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Vortex #hep-th
paper · pdf · doi:10.1103/physrevd.45.2762
published as Phys.Rev.D45:2762-2771,1992 · 24 pages
arxiv created 1991/12/20 · openalex publication_date 1992/04/15 · arxiv updated 2011/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 back reaction shows that the effect of the vortex is to cut a slice out of the Euclidean Schwarzschild geometry. The consequences of these solutions for black-hole thermodynamics are discussed.