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The Riemann tensor and stress singularities

Published online by Cambridge University Press:  24 October 2008

A. Sackfield
A. Sackfield
Affiliation:
Trent Polytechnic, Nottingham
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Abstract

The algebraic invariants of the Riemann tensor for a static axially symmetric gravitational field are examined. Contrary to common expectation they are shown to be well defined in a region of the field known to be physically singular.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 1 , January 1972 , pp. 131 - 134
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Marder, L.Recent developments in general relativity, p. 333. (Warsaw, 1962.)Google Scholar
(2)Feinblum, D. L. J.Math, and Phys. 11 (1970), 2713.Google Scholar
(3)Synge, J. L.Relativity – the general theory, p. 309. (Amsterdam; North Holland Publishing Co., 1960.)Google Scholar
(4)Curzon, H. E.J. Proc. London Math. Soc. 23 (1925), 477.CrossRefGoogle Scholar
(5)Bergman, P. G.Introduction to the theory of relativity, (N. J.; Prentice-Hall, Inc. Englewood Cliffs, 1942).Google Scholar
(6)Muller, , zum Hagen, H.Proc. Cambridge Philos. Soc. 66 (1969), 155.Google Scholar
(7)Penrose, R.Ann Phys. 10 (1960), 171.CrossRefGoogle Scholar
(8)Gautreau, R. and Anderson, J. L.Phys. Lett. 25A (1967), 291.CrossRefGoogle Scholar