On space-times admitting a three-parameter isometry group with two-dimensional null orbits
- 1 September 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (9) , 1493-1497
- https://doi.org/10.1088/0305-4470/12/9/015
Abstract
Space-times admitting a three-parameter group of motions acting on two-dimensional null orbits are considered. A coordinate transformation relating the canonical form of the metrics as given by Petrov (1969) and the apparently more general form given by Defrise (1969) is exhibited. For pure radiation fields the space-time is a PP wave. The general vacuum solution with a cosmological constant is found in closed form.Keywords
This publication has 2 references indexed in Scilit:
- On Birkhoff's theorem in general relativityCommunications in Mathematical Physics, 1973
- Einstein Tensor and 3-Parameter Groups of Isometries with 2-Dimensional OrbitsJournal of Mathematical Physics, 1970