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The rotating body problem

Published online by Cambridge University Press:  24 October 2008

H. Levy  and
W. J. Robinson
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Abstract

It is shown that for an axisymmetric stationary system there exists, in vacuo, a canonical coordinate system, analogous to Weyl's canonical coordinates for the static case. Some approximate solutions of the vacuum field equations are then obtained in these canonical coordinates.

In the second part of this paper, the vacuum field equations for an isolated axisymmetric stationary system are set up and approximate solutions obtained by means of a multipole expansion. The physical components of the Riemann tensor are then examined and it is found that the ‘mass term’ predominates, the ‘rotation term’ being of the next order of magnitude.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 2 , April 1964 , pp. 279 - 285
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Das, A., Florides, P. S. and Synge, J. L.Proc. Roy. Soc. London, Ser. A, 263 (1961), 451–472.Google Scholar
(2)Florides, P. S. and Synge, J. L.Proc. Roy. Soc. London, Ser. A, 270 (1962), 467–492.Google Scholar