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The Seven Classes of the Einstein Equations

In current paper we refer to the geometrical classification of the Einstein equations which has been developed by one of the authors of this paper. This classification was based on the classical theory for decomposition of the tensor product of representations into irreducible components, which is studied in the elementary representation theory for orthogonal groups. We return to this result for more detailed investigation of classes of the Einstein equations.

preprint2010arXivOpen access
Sergey E. StepanovIrina I. Tsyganok
math-phmath.MPmath.DG
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Sergey E. StepanovIrina I. Tsyganok

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