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Gravitational waves in general relativity III. Exact plane waves

H. Bondi, F. A. E. Pirani, I. Robinson

Source record

Source: Crossref

Published: Jun 23, 1959

DOI: 10.1098/rspa.1959.0124

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Source abstract

Abstract Plane gravitational waves are here defined to be non-flat solutions of Einstein’s empty spacetime field equations which admit as much symmetry as do plane electromagnetic waves, namely, a 5-parameter group of motions. A general plane-wave metric is written down and the properties of plane wave space-times are studied in detail. In particular, their characterization as 4 plane ’ is justified further by the construction of 4 sandwich waves ’ bounded on both sides by (null) hyperplanes in flat space-time. It is shown that the passing of a sandwich wave produces a relative acceleration in free test particles, and inferred from this that such waves transport energy.

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