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 Energy–momentum may refer to: * Four-momentum * Stress–energy tensor * Energy–momentum relation {{dab ...
(or the
Ricci tensor In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian or pseudo-Riemannian metric on a manifold. It can be considered, broadly, as a measure ...
) and primarily finds application in the classification of exact solutions in general relativity.


See also

* Corrado Segre * Jordan normal form *
Petrov classification In differential geometry and theoretical physics, the Petrov classification (also known as Petrov–Pirani–Penrose classification) describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold. It is mos ...


References

* See ''section 5.1'' for the Segre classification. * Linear algebra Tensors Tensors in general relativity {{math-physics-stub