Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-18T04:31:25.715Z Has data issue: false hasContentIssue false
  • English
  • Français

Einstein–Maxwell fields with plane symmetry. I

Published online by Cambridge University Press:  24 October 2008

S. Patnaik
S. Patnaik
Affiliation:
Department of Mathematics, Université de Montréal, Montreal, Canada†
Get access Rights & Permissions [Opens in a new window]

Extract

An exact static solution of the system of Einstein–Maxwell field equations in the absence of charge is obtained when both the metric tensor gαβ and the Maxwell field tensor Fαβ exhibits plane symmetry in the sense that both remain invariant under the group of motions that characterize plane symmetry. Our solution generalizes the empty space-time solution with plane symmetry previously obtained by Taub to the situation when static charge-free electromagnetic fields are present. We hope to discuss non-static solutions of Einstein–Maxwell fields with plane symmetry as well as some other considerations in a subsequent paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 127 - 131
Copyright
Copyright © Cambridge Philosophical Society 1970

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)Einstein, A.The meaning of relativity (Princeton, 1955).Google Scholar
(2)Taub, A. H.Ann. of Math. 53 (1951), 472–490.CrossRefGoogle Scholar
(3)Eisenhart, L. P.Riemannian geometry (Princeton, 1949).Google Scholar
(4)Eddington, A.The mathematical theory of relativity (Cambridge, 1930).Google Scholar