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ID: 342037.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Separation of Variables and Hamiltonian Formulation for the Ernst Equation
Authors:Korotkin, D. A.; Nicolai, Hermann
Date of Publication (YYYY-MM-DD):1995-02
Title of Journal:Physical Review Letters
Volume:74
Issue / Number:8
Start Page:1272
End Page:1275
Review Status:not specified
Audience:Not Specified
Abstract / Description: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 τ 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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
External Affiliations:Institute for Theoretical Physics, Hamburg University, Luruper Chaussee 149, Hamburg 22761, Germany
Identifiers:DOI:10.1103/PhysRevLett.74.1272
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