Hostname: page-component-54dcc4c588-ff9ft Total loading time: 0 Render date: 2025-09-24T08:58:11.936Z Has data issue: false hasContentIssue false
  • English
  • Français

On space-times with bounded empty regions

Published online by Cambridge University Press:  24 October 2008

L. Marder
L. Marder
Affiliation:
Southampton University
Get access Rights & Permissions [Opens in a new window]

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.

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

(1)Bondi, H.Rev. Mod. Phys. 29 (1957), 423–428CrossRefGoogle Scholar
(2)Bergmann, P. G.Introduction to the theory of relativity (Prentice-Hall; New York, 1942).Google Scholar
(3)Levi-Civita, T.Atti Accad. Naz. Lincei. Rend. Sci. Fis. Mat. Nat. (5), 28 (1919), 3–13Google Scholar
(4)Lichnerowicz, A.Théories relativistes de la gravitation et de l'éleectromagnétisme (Masson; Paris, 1955).Google Scholar
(5)Marder, L.Proc. Cambridge Philos. Soc. 55 (1959), 82–86CrossRefGoogle Scholar
(6)Weyl, H.Ann. Physik, 54 (1917), 117–145CrossRefGoogle Scholar