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On space-times with bounded empty regions

Published online by Cambridge University Press:  24 October 2008

L. Marder
L. Marder
Affiliation:
Southampton University
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Abstract

If two empty regions of space-time are entirely separated by matter, little information of the nature of one region can be gained by knowledge of the other. Examples of a hollow Schwarzschild sphere and a hollow static torus are considered. In the first of these, it is shown that the size of the flat interior is not at all limited by the smallness of the Schwarzschild mass constant, the outer spherical boundary, or the condition that the sphere be constructed only of matter of positive density with positive stress-energy scalar.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 1 , January 1964 , pp. 97 - 103
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

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