Editing Einstein tensor (section)

{{Short description|Tensor used in general relativity
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{{Use American English|date=January 2019}}{{General relativity sidebar}}

In [[differential geometry]], the '''Einstein tensor''' (named after [[Albert Einstein]]; also known as the '''trace-reversed [[Ricci curvature|Ricci tensor]]''') is used to express the [[curvature]] of a [[pseudo-Riemannian manifold]]. In [[general relativity]], it occurs in the [[Einstein field equations]] for [[gravitation]] that describe [[spacetime]] curvature in a manner that is consistent with conservation of energy and momentum.