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

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.

14 pages, LaTeX, replaced due to a LaTex error

References in corpus (1)

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

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