A Remarkable Property of Plane Waves in General Relativity
- 1 January 1965
- journal article
- research article
- Published by American Physical Society (APS) in Reviews of Modern Physics
- Vol. 37 (1) , 215-220
- https://doi.org/10.1103/revmodphys.37.215
Abstract
The complete general-relativistic plane-wave space-times (gravitational, electromagnetic, or both) are examined in relation to the focusing effect they exert on null cones. The following remarkable property is then obtained. No spacelike hypersurface exists in the space-time which is adequate for the global specification of Cauchy data. As a consequence, it is not possible to imbed a plane wave globally in any hyperbolic normal pseudo-Euclidean space.Keywords
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