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Classification of Second Order Symmetric Tensors in 5-Dimensional Kaluza-Klein-Type Theories

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

An algebraic classification of second order symmetric tensors in 5-dimensional Kaluza-Klein-type Lorentzian spaces is presented by using Jordan matrices. We show that the possible Segre types are $[1,1111]$, [2111], [311], [z,\bar{z},111], and the degeneracies thereof. A set of canonical forms for each Segre type is found. The possible continuous groups of symmetry for each canonical form are also studied.

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J. Santos, M. J. Reboucas, A. F. F. Teixeira. 1995-06-17. Classification of Second Order Symmetric Tensors in 5-Dimensional Kaluza-Klein-Type Theories. https://doi.org/10.1063/1.531013

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