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The Kerr Solution on Partially Degenerate Hyperelliptic Riemann Surfaces
Authors:Klein  C.
Affiliation:(1) LUTh, Observatoire de Paris, 92195 Meudon Cedex, France;(2) MPI für Physik, Föhringer Ring 6, 80805 München, Germany
Abstract:
The Kerr solution for a rotating black hole can be constructed as the ldquosolitonicrdquo limit of Korotkin's theta-functional solutions of the Ernst equation on a genus-two surface. We show here that the Kerr solution can also be obtained on a partially degenerate hyperelliptic Riemann surface of arbitrary even genus.
Keywords:black holes  Riemann surfaces  solitonic limit
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