Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-29T04:10:17.893Z Has data issue: false hasContentIssue false
  • English
  • Français

Some solutions of Einstein's equations in general relativity

Published online by Cambridge University Press:  24 October 2008

J. J. J. Marek
J. J. J. Marek
Affiliation:
University College of Wales, Aberystwyth
Get access Rights & Permissions [Opens in a new window]

Abstract

A new class of axi-symmetric stationary solutions of Einstein's empty space field equations is obtained. Non-existence of solutions of certain other classes is proved.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 1 , January 1968 , pp. 167 - 170
Copyright
Copyright © Cambridge Philosophical Society 1968

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)Lewis, T.Some special solutions of the equations of axially symmetric gravitational fields. Proc. Roy. Soc. London, Ser. A 136 (1932), 176.Google Scholar
(2)Bergmann, P.An introduction to the theory of relativity (Prentice-Hall; New York, 1942).Google Scholar
(3)Levy, H.Doctoral Dissertation (London, 1966).Google Scholar
(4)Gambier, B.Comptes Rendues Acad. Sc, Paris 143 (1906), 741.Google Scholar
(5)Davies, T. and James, E.Nonlinear differential equations (Addison-Wesley; Massachussetts, 1966).Google Scholar
(6)Painlevé, P.Acta Math. 25 (1902), I, and INCE, E. Ordinary differential equations (Longmans; London, 1927).CrossRefGoogle Scholar
(7)Levy, H. To be published.Google Scholar
(8)Papapetrou, A.Eine rotationssymmetrische lösung in der allgemeinen relativitats- theorie. Ann. Physik, 6, 12 (1932), 309.Google Scholar