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On the analyticity of static vacuum solutions of Einstein's equations†

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 around each point of a C3 static vacuum space-time there is a neighbourhood in which the metric is, in a certain suitable coordinate system, analytic. If two of these neighbourhoods overlap, then the transformation betweea these suitable coordinate systems is analytic (in the overlapping domain).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 415 - 421
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

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