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Segre Types of Symmetric Two-tensors in n-Dimensional Spacetimes

J. Santos·M. J. Reboucas·A. F. F. Teixeira
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Abstract

Three propositions about Jordan matrices are proved and applied to algebraically classify the Ricci tensor in n-dimensional Kaluza-Klein-type spacetimes. We show that the possible Segre types are [1,1...1], [21...1], [31\ldots 1], [z\bar{z}1...1] and degeneracies thereof. A set of canonical forms for the Segre types is obtained in terms of semi-null bases of vectors.

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J. Santos, M. J. Reboucas, A. F. F. Teixeira. 1995-07-12. Segre Types of Symmetric Two-tensors in n-Dimensional Spacetimes. https://doi.org/10.1007/bf02113081

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