Classification of second order symmetric tensors in five-dimensional Kaluza–Klein-type theories

DOI10.1063/1.531013zbMath0852.15020arXivgr-qc/9506031OpenAlexW2065400018MaRDI QIDQ4873329

A. F. F. Teixeira, M. J. Rebouças, Janilo Santos

Publication date: 9 December 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9506031

zbMATH Keywords

canonical formsJordan matricesfive-dimensional Kaluza-Klein-type Lorentzian spacessecond order symmetric tensors

Mathematics Subject Classification ID

Kaluza-Klein and other higher-dimensional theories (83E15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items (6)

Segre types of symmetric two-tensors in \(n\)-dimensional spacetimes ⋮ Energy conditions for non-timelike thin shells ⋮ Limits of space–times in five dimensions and their relation to the Segre types ⋮ On the algebraic structure of second order symmetric tensors in 5-dimensional space-times ⋮ Spinors and the Weyl tensor classification in six dimensions ⋮ Criteria for energy conditions

Cites Work

• Physical structure of the energy-momentum tensor in general relativity
• Three-dimensional space-times
• A review of the geometrical equivalence of metrics in general relativity
• Einstein universe as a moving fluid cosmology
• Notes on a class of homogeneous space-times
• Homogeneous space-times with seven isometries
• The classification of the Ricci tensor in general relativity theory
• Invariant two-spaces and canonical forms for the Ricci tensor in general relativity
• Classification of scalar fields in general relativity
• Computer-aided study of a class of Riemannian space-times

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