Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-28T14:48:06.602Z Has data issue: false hasContentIssue false
  • English
  • Français

On the superposition of gravitational waves

Published online by Cambridge University Press:  24 October 2008

J. B. Griffiths
J. B. Griffiths
Affiliation:
University of Technology, Loughborough
Get access Rights & Permissions [Opens in a new window]

Abstract

The nature of the non-linear interaction between two gravitational waves in the general theory of relativity is considered. A new exact solution of the vacuum field equations describing this case is given. It describes two gravitational waves with both transverse and longitudinal components, propagating in opposite directions along ‘shearing’ and ‘twisting’ geodesic congruences with zero contraction

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 3 , May 1975 , pp. 559 - 565
Copyright
Copyright © Cambridge Philosophical Society 1975

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Bonnor, W. B.Comm. Math. Phys., 13 (1969), 163–174.CrossRefGoogle Scholar
(2)Aichelburg, P. C.Acta Phys. Austriaca, 34 (1971), 279–284.Google Scholar
(3)Penrose, R.Perspectives in geometry and relativity edited by Hoffmann, B., 259–274 (Indiana. U.P. Bloomington, 1966).Google Scholar
(4)Szekeres, P.Nature, Lond. 228 (1970), 1183–1184.CrossRefGoogle Scholar
(5)Szekeres, P.J. Mathematical Phys. 13 (1972), 286–294.CrossRefGoogle Scholar
(6)Khan, K. A. and Penrose, R.Nature, Lond. 229 (1971), 185–186.CrossRefGoogle Scholar
(7)Newman, E. and Penrose, R.J. Mathematical Phys. 3 (1962), 566–578; 4 (1963), 998.CrossRefGoogle Scholar
(8)Szekeres, P.J. Mathematical Phys. 6 (1965), 1387–1391.CrossRefGoogle Scholar
(9)Kinnersley, W.J. Mathematical Phys. 10 (1969), 1195–1203.CrossRefGoogle Scholar
(10)Griffiths, J. B. Preprint (1974).Google Scholar