Differentially rotating disks of dust

DOI10.1023/A:1001950922865zbMath0965.83012arXivgr-qc/9910045OpenAlexW3098703272MaRDI QIDQ5931050

Marcus Ansorg, Reinhard Meinel

Publication date: 2 May 2001

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9910045

zbMATH Keywords

Ernst equationrotating bodiesBäcklund transformationsdisks of dustJacobi's inversion problem

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (3)

Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. II: Schwarzschild background ⋮ A golden age of general relativity? Some remarks on the history of general relativity ⋮ The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution

Cites Work

• Solutions of Einstein's field equations related to Jacobi's inversion problem.
• Reply to: Some remarks on finite gap solutions of the Ernst equations by D. Korotkin.
• Some remarks on finite-gap solutions of the Ernst equation.
• Algebraisch spezielle Einstein-Räume mit einer Bewegungsgruppe
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Elliptic solutions of stationary axisymmetric Einstein equations
• General Relativistic Gravitational Field of a Rigidly Rotating Disk of Dust: Solution in Terms of Ultraelliptic Functions

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