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On the analyticity of stationary vacuum solutions of Einstein's equation†

Published online by Cambridge University Press:  24 October 2008

H. Müller zum Hagen
H. Müller zum Hagen
Affiliation:
King's College, London
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Abstract

It is shown that a stationary C3 vacuum space-time has an analytic structure with respect to which the metric gab is an analytic tensor field.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 199 - 201
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Müller zum Hagen, H.On the analyticity of static vacuum solutions of Einstein's equations. Proc. Cambridge Philos. Soc. 67 (1970), 415.CrossRefGoogle Scholar
(2)Morbey, C. B.On the analyticity of the solutions of analytic non-linear elliptic systems of partial differential equations. Amer. J. Math. 80 (1958), 198–237.CrossRefGoogle Scholar
(3)Bers, L., John, F. and Schechter, M.Partial differential equations (Interscience Publishers; New York, London, Sydney, 1964).Google Scholar