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The classification of some spherically symmetric space-time metrics

Published online by Cambridge University Press:  17 April 2009

J.M. Foyster  and
C.B.G. McIntosh
J.M. Foyster
Affiliation:
Australian Council for Educational Research, Hawthorn, Victoria
C.B.G. McIntosh
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria.
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Abstract

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It is shown that the Petrov-Plebański classification of the trace-free Ricci tensors of some spherically symmetric metrics is invariant, contrary to an assertion by Takeno and Kitamura concerning these metrics.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 187 - 190
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Ludwig, Garry and Scanlan, Gerry, “Classification of the Ricci tensor”, Comm. Math. Phys. 20 (1971), 291–300.CrossRefGoogle Scholar
[2]Lun, A.W.-C. and McIntosh, C.B.G., “Type N solutions of the vacuum scalar-tensor field equations”, General relativity and gravitation (to appear).Google Scholar
[3]Newman, Ezra and Penrose, Roger, “An approach to gravitational radiation by a method of spin coefficients”, J. Mathematical Phys. 3 (1962), 566–578.CrossRefGoogle Scholar
[4]Takeno, Hyôitirô and Kitamura, Shin-ichi, On the Einstein tensors of spherically symmetric space-times (RRK 69–13. Research Institute for Theoretical Physics, Hiroshima University, Hiroshima, 1969).Google Scholar