On the Algebraic Structure of Second Order Symmetric Tensors in 5-Dimensional Space-times

Details On the Algebraic Structure of Second Order Symmetric Tensors in 5-Dimensional Space-times On the Algebraic Structure of Second Order Symmetric Tensors in 5-Dimensional Space-times

1995-11-21

arxiv.org/abs/gr-qc/9511056v1

Gen.Rel.Grav. 28 (1996) 1107-1113

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX , no figures

Scientific paper

10.1007/BF02113160

A new approach to the algebraic classification of second order symmetric tensors in 5-dimensional space-times is presented. The possible Segre types for a symmetric two-tensor are found. A set of canonical forms for each Segre type is obtained. A theorem which collects together some basic results on the algebraic structure of the Ricci tensor in 5-dimensional space-times is also stated.

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