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On the global geometry of spherically symmetric space-times

Published online by Cambridge University Press:  02 November 2004

J. SZENTHE
J. SZENTHE
Affiliation:
Department of Geometry, Eötvös University, Pázmány Péter stny. 1/C, H-1117 Budapest. e-mail: [email protected]
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Abstract

Spherically symmetric space-times have been studied in general relativity ever since the beginning when as the first exact solution of the Einstein equation the Schwarzschild space-time was given. Later on an elaborate local theory of spherically symmetric space-times was worked out with such fundamental results as Birkhoff's theorem and essential results concerning their global geometry have been achieved. Yet it seems that a general global theory is lacking even now. Some fundamental facts concerning the global geometry of spherically symmetric space-times are presented below. The concept of axis and of transverse submanifold are introduced and applied to study and classification.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 3 , November 2004 , pp. 741 - 754
Copyright
© 2004 Cambridge Philosophical Society

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