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

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

1995-06-17

arxiv.org/abs/gr-qc/9506031v1

J.Math.Phys. 36 (1995) 3074-3084

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, To appear in J. Math. Phys 36 (1995)

Scientific paper

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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