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The classification of some spherically symmetric space-time metrics
Published online by Cambridge University Press: 17 April 2009
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.
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- Research Article
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- 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
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