2010/03/07 by Jonatan Lenells · 3 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Boundary value problem #Class (philosophy) #Einstein #Extremal black hole #Relativity and Gravitational Theory #Rotating black hole #Rotational symmetry #gr-qc #math-ph #math.MP #msc:35Q15 #msc:37K15 #msc:83C15 #nlin.SI
paper · pdf · doi:10.1007/s00220-011-1243-8
published as Commun.Math.Phys.304:585-635,2011 · 46 pages
arxiv created 2010/03/07 · openalex publication_date 2011/04/21 · arxiv updated 2011/05/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We solve a class of boundary value problems for the stationary axisymmetric Einstein equations corresponding to a disk of dust rotating uniformly around a central black hole. The solutions are given explicitly in terms of theta functions on a family of hyperelliptic Riemann surfaces of genus 4. In the absence of a disk, they reduce to the Kerr black hole. In the absence of a black hole, they reduce to the Neugebauer-Meinel disk.