(Q550929)

English

Einstein tensor

covariantly conserved rank-2 tensor field on a Riemannian manifold, defined in terms of the Ricci curvature

Einstein curvature
Einstein curvature tensor
trace-reversed Ricci tensor

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Statements

subclass of

tensor quantity

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ISQ dimension

{\mathsf {L}}^{-2}

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defining formula

G_{\mu \nu }=R_{\mu \nu }-{\frac {1}{2}}Rg_{\mu \nu }

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in defining formula

G_{\mu \nu }

symbol represents

Einstein tensor

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R_{\mu \nu }

symbol represents

Ricci curvature

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R

symbol represents

scalar curvature

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g_{\mu \nu }

symbol represents

metric tensor

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quantity symbol (LaTeX)

{\boldsymbol {G}}

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

1 reference

28 October 2013

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

ScienceDirect topic ID

mathematics/einstein-tensor

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Wolfram Language quantity ID

EinsteinTensor

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(Q550929)

Einstein tensor

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