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Rotating fluid masses in general relativity. II

Published online by Cambridge University Press:  24 October 2008

R. H. Boyer
R. H. Boyer
Affiliation:
University of Liverpool
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Abstract

We describe some properties of a stationary, isolated, axially symmetric, rotating body of perfect fluid, according to general relativity. We first specialize to the case of constant specific entropy and constant angular velocity. The latter condition is equivalent to rigidity in the Born sense; both conditions are consequences of a simple variational principle. The hydrodynamic equations can then be integrated completely. Analogous first integrals are given also for the case of differential rotation. No use is made of the full field equations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 495 - 501
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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