1970•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

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

H. Müller zum Hagen

Abstract

Abstract It is shown that around each point of a C3static 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).

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Available abstract

Key concepts: Coordinate system, Curvilinear coordinates, Einstein, Neighbourhood (mathematics), Metric (unit), Transformation (genetics), Domain (mathematical analysis), Analytic function