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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
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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

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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