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It is well known that the classification of the Weyl tensor in Lorentzian manifolds of dimension four, the so called Petrov classification, was a great tool to the development of general relativity.
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1954
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1962
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1969
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1986
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1991
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G. S. Hall, Lecture notes on symmetries and curvature structure in general relativity
2004
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A. Coley, R. Milson, V.Pravda and A. Pravdová, Classification of the Weyl tensor in higher dimensions
2004
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C. Batista, A generalization of the Goldberg-Sachs theorem and its consequences
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S. Hervik and A. Coley, On the algebraic classification of pseudo-Riemannian spaces
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J. Plebański and A. Krasinski, An introduction to general relativity and cosmology
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H. Stephani et. al., Exact solutions of Einstein’s field equations
2009
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2009
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2010
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A. Gover, C. Hill and P. Nurowski, Sharp version of the Goldberg-Sachs theorem
2011
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P. R. Law, Classification of the Weyl curvature spinors of neutral metrics in four dimensions
2093
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