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Cited by 263

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Gravitational waves in general relativity III. Exact plane waves

Bondi, H., Pirani, F. A. E., Robinson, I.·1959·Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
DOI 10.1098/rspa.1959.0124
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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.

Overview

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Registry

Crossref · 10.1098/rspa.1959.0124

Cites

1 of 1 references verified0 citation errors · 0 not checkable

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Verification

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Citations

Cites

Research works printed but not linked: 20

  1. Bonnor W. B., 1957, Ann. Inst. Poincard, 15, 133
  2. Debever R., 1956, Bull. Acad. Belg. Cl. Sci. (5), 42, 313
  3. Debever R., 1956, *2, Bull. Acad. Belg. Cl. Sci. (5), 42, 608
  4. 10.1016/S0016-0032(37)90583-0 · DOI
  5. Geheniau J., 1956, Bull. Acad. Belg. Cl. Sci. (5), 42, 114
  6. Geheniau J ., 1956, 6 Bull, Acad. Belg. Cl. Sci. (5), 42, 252
  7. Lichnerowicz A. 1955 Theories relativistes de la gravitation et de Paris: Masson et Cie. · DOI
  8. McVittie G. C., 1955, J, Rat. Mech. Anal., 4, 201
  9. Marder L., 1958, Proc. Roy, Soc. A, 244, 524
  10. Marder L., 1958, 6 Proc. Roy, Soc. A, 246, 133
  11. Petrov A. Z. 1957 Dissertation Moscow State University.
  12. Pirani F. A. E. 1956 Acta phys. polon. 15 389-405. · DOI
  13. 10.1103/PhysRev.105.1089 · DOI
  14. Rosen N., 1937, Phys. Z, Sowjet., 12, 366
  15. Ruse H. S., 1944, Proc. Roy, Soc. Edinb., 62, 64
  16. 10.1112/plms/s2-50.1.75 · DOI
  17. Shibata T., 1955, J . Sci, Hiroshima Univ., 19, 101
  18. Synge J . L. 1956 Relativity: the special theory. Am sterdam : North-Holland Publishing Company. · DOI
  19. Synge J . L. & Schild A. 1949 Tensor calculus p. 90. University of Toronto Press.
  20. 10.2307/1969567 · DOI

Cited by

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Metadata

Authors
Bondi, H., Pirani, F. A. E., & Robinson, I.
Venue
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
Publisher
The Royal Society
Published
1959-06-23
Volume
251
Issue
1267
Pages
519-533
ISSN
  • 0080-4630
  • 2053-9169
DOI
10.1098/rspa.1959.0124
Cited by
263
References
1
Language
en
Licence
royalsociety.org/journals/ethics-policies/data-sharing-mining/ (tdm)

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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

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Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.