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  Separation of Variables and Hamiltonian Formulation for the Ernst Equation

Korotkin, D. A., & Nicolai, H. (1995). Separation of Variables and Hamiltonian Formulation for the Ernst Equation. Physical Review Letters, 74(8), 1272-1275. doi:10.1103/PhysRevLett.74.1272.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BAE-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BAF-C
Genre: Journal Article

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342037.pdf (Publisher version), 717KB
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Korotkin, D. A.1, Author
Nicolai, Hermann2, Author              
Affiliations:
1External Organizations, escidoc:persistent13              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 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 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.

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 Dates: 1995-02
 Publication Status: Published in print
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 Identifiers: eDoc: 342037
DOI: 10.1103/PhysRevLett.74.1272
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 74 (8) Sequence Number: - Start / End Page: 1272 - 1275 Identifier: -