Segre classification

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The Segre classification is an algebraic classification of rank two symmetric tensors. The resulting types are then known as Segre types. It is most commonly applied to the energy-momentum tensor (or the Ricci tensor) and primarily finds application in the classification of exact solutions in general relativity.

[edit] See also

• Corrado Segre
• Exact solutions in general relativity
• Jordan normal form
• Petrov classification

[edit] References

• Stephani, Hans; Kramer, Dietrich; MacCallum, Malcolm; Hoenselaers, Cornelius; and Herlt, Eduard (2003). Exact Solutions of Einstein's Field Equations. Cambridge: Cambridge University Press. ISBN 0-521-46136-7.  See section 5.1 for the Segre classification.

• Segre, C. (1884). "Sulla teoria e sulla classificazione delle omogradfie in uno spazio lineare ad uno numero qualcunque di dimensioni". Memorie della R. Accademia dei Lincei 3a: 127.