Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-06-28T07:44:49.070Z Has data issue: false hasContentIssue false

A spatially homogeneous gravitational field

Published online by Cambridge University Press:  24 October 2008

V. Joseph
Affiliation:
Department of Mathematics, University of Ceylon, Colombo

Abstract

A solution of Einstein's vacuum field equations, apparently new, is exhibited. The metric, which is homogeneous (that is, admits a three-parameter group of motions transitive on space-like hypersurfaces), belongs to Taub Type V. The canonical form of the Riemann tensor, which is of Petrov Type I, is determined.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1966

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)Kristian, J. and Sachs, R. K.Proceedings of the Second Texas Symposium on Quasi Stellar Objects (in the Press).Google Scholar
(2)Penrose, R.Ann. Physics 10 (1960), 171.Google Scholar
(3)Petrov, A. Z.Sci. Not. Kazan State Univ. 114 (1954), 55.Google Scholar
(4)Taub, A. H.Ann. of Math. 53 (1951), 472.Google Scholar