Type D Vacuum Metrics
- 1 July 1969
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (7), 1195-1203
- https://doi.org/10.1063/1.1664958
Abstract
Using the Newman‐Penrose formalism, the vacuum field equations are solved for Petrov type D. An exhaustive set of ten metrics is obtained, including among them a new rotating solution closely related to the Ehlers‐Kundt ``C'' metric. They all possess at least two Killing vectors and depend only on a small number of arbitrary constants.Keywords
This publication has 5 references indexed in Scilit:
- Gravitational Field of a Spinning Mass as an Example of Algebraically Special MetricsPhysical Review Letters, 1963
- Empty-Space Generalization of the Schwarzschild MetricJournal of Mathematical Physics, 1963
- Empty Space Metrics Containing Hypersurface Orthogonal Geodesic RaysJournal of Mathematical Physics, 1962
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962
- Some spherical gravitational waves in general relativityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962