The interior solution of axially symmetric, stationary and rigidly rotating dust configurations

DOI10.1007/S10714-009-0796-8zbMath1176.83039arXiv1105.2316OpenAlexW3103203187MaRDI QIDQ1031916

Norman Gürlebeck

Publication date: 23 October 2009

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

Full work available at URL: https://arxiv.org/abs/1105.2316

zbMATH Keywords

exact solutionnon-existencegeneral relativitydust

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (2)

Source Integrals of Asymptotic Multipole Moments ⋮ Matching van Stockum dust to Papapetrou vacuum

Cites Work

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• Exact Solutions of Einstein's Field Equations
• General Relativistic Gravitational Field of a Rigidly Rotating Disk of Dust: Solution in Terms of Ultraelliptic Functions
• IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry
• Isolated Newtonian dust stars are unstable but can be stabilized by exterior matter

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