All stationary axisymmetric rotating dust metrics
- 1 September 1975
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (9) , 1806-1808
- https://doi.org/10.1063/1.522754
Abstract
The Einstein equations for stationary axisymmetric space–times with a rotating dust source are systematically reduced to quadratures. The general solution depends upon an arbitrary axisymmetric solution of the flat three-dimensional Laplace equation and upon an arbitrary function of one variable.Keywords
This publication has 4 references indexed in Scilit:
- Killing inequalities for relativistically rotating fluidsJournal of Mathematical Physics, 1975
- A Method for Generating New Solutions of Einstein's Equation. IIJournal of Mathematical Physics, 1972
- New Formulation of the Axially Symmetric Gravitational Field Problem. IIPhysical Review B, 1968
- IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of SymmetryProceedings of the Royal Society of Edinburgh, 1938