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The Segre classification
is an algebraic classification of rank two symmetric tensor
s. 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
In general relativity, an exact solution is a Lorentzian manifold equipped with certain tensor fields which are taken to model states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field....