The Ernst equation and the Riemann-Hilbert problem on hyperelliptic Riemann surfaces

DOI10.1016/S0393-0440(97)00007-7zbMath0892.53037MaRDI QIDQ1377240

J. Ning

Publication date: 3 August 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Ernst equationhyperelliptic Riemann surfacesgeneralized scalar Riemann-Hilbert problem

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Exact solutions to problems in general relativity and gravitational theory (83C15) Riemann surfaces (30F99)

Related Items (1)

Riemann-Hilbert problems for the Ernst equation and fibre bundles

Cites Work

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• Algebraic geometric solutions of Einstein's equations: Some physical properties
• Theta functions on Riemann surfaces
• Solutions of Einstein's field equations related to Jacobi's inversion problem.
• Elliptic solutions of stationary axisymmetric Einstein equations
• General Relativistic Gravitational Field of a Rigidly Rotating Disk of Dust: Solution in Terms of Ultraelliptic Functions
• Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces

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