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- W1967094963 abstract "It is shown that the vacuum Einstein equations for an arbitrary stationary axisymmetric space-time can be completely separated by reformulating the Ernst equation and its associated linear system in terms of a nonautonomous Schlesinger-type dynamical system. The conformal factor of the metric coincides (up to some explicitly computable factor) with the ensuremath{tau} function of the Ernst equation in the presence of finitely many regular singularities. We also present a canonical formulation of these results, which is based on a ``two-time'' Hamiltonian approach, and which opens new avenues for the quantization of such systems." @default.
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- W1967094963 date "1995-02-20" @default.
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- W1967094963 title "Separation of Variables and Hamiltonian Formulation for the Ernst Equation" @default.
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- W1967094963 doi "https://doi.org/10.1103/physrevlett.74.1272" @default.
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