Empty Space Metrics Containing Hypersurface Orthogonal Geodesic Rays
- 1 September 1962
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 3 (5) , 902-907
- https://doi.org/10.1063/1.1724304
Abstract
In this paper we obtain all empty space metrics which possess hypersurface orthogonal geodesic rays with nonvanishing shear and divergence. By straightforward integration of the Newman‐Penrose equations, which are equivalent to the Einstein equations, all solutions are found in closed form and are unique up to a few arbitrary constants. The method of integration is illustrated in detail for the Robinson‐Trautman solutions.Keywords
This publication has 4 references indexed in Scilit:
- Behavior of Asymptotically Flat Empty SpacesJournal of Mathematical Physics, 1962
- Gravitational waves in general relativity. VI. The outgoing radiation conditionProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961
- The plane-fronted gravitational wavesThe European Physical Journal A, 1961
- Spherical Gravitational WavesPhysical Review Letters, 1960