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A class of approximate exterior rotating solutions of Einstein's equations

Published online by Cambridge University Press:  24 October 2008

Jamal N. Islam
Jamal N. Islam
Affiliation:
California Institute of Technology, Pasadena, California, University of Washington, Seattle, Washington, and King's College, London
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Abstract

A class of approximate stationary vacuum solutions are obtained by expanding the metric in powers of a certain parameter, and by solving explicitly the first few orders in terms of two harmonic functions ø and ψ. These solutions, to the order considered, reduce to the Weyl solutions when ψ = 0 and yield the Papapetrou solutions when ø = 0, and contain a subclass that is asymptotically flat and has non-zero mass. The physical interpretation and the possibility of proceeding further are briefly discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 1 , January 1976 , pp. 161 - 166
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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