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

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

1995-07-11

arxiv.org/abs/gr-qc/9507021v2

Gen.Rel.Grav. 27 (1995) 989-999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LaTeX, replaced due to a LaTex error

Scientific paper

10.1007/BF02113081

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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