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Einstein tensor

In differential geometry, the Einstein tensor (named after Albert Einstein; also known as the trace-reversed 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…

Applications, Definition & Use in general relativity

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Overview

Definition

Explicit form

Trace

Use in general relativity

Uniqueness

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Map overview Semantic statistics

Einstein tensor

Nodes44
Edges43
Triples35
Avg. degree1.95
Density0.045455
Components1

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Einstein tensor

Top relations

related to Explicit form · 10
Einstein tensor → Before, Cancellations, Christoffel, Einstein, Gamma, However, Kronecker, Ricci, The, The Ricci
related to Trace · 8
Einstein tensor → Einstein, In, Ricci, That, The, Therefore, This, Thus
related to Use in general relativity · 6
Einstein tensor → As, Einstein, From, It, Lambda, The Einstein
is a · 4
Einstein tensor → negative of the Ricci tensor's trace, nonlinear function of the metric tensor, only tensorial and divergence-free function of the g μ ν, trace-reversed Ricci tensor
related to Definition · 4
Einstein tensor → In, Ricci, Riemannian, The Einstein
related to Uniqueness · 3
Einstein tensor → David Lovelock, Einstein, However

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Important terminology

tensor einstein displaystyle mu nu metric ricci form general relativity also curvature trace frac left right field conservation energy defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Einstein tensoris anegative of the Ricci tensor's trace0.90text
Einstein tensoris atrace-reversed Ricci tensor0.90text
Einstein tensoris anonlinear function of the metric tensor0.90text
Einstein tensoris aonly tensorial and divergence-free function of the g μ ν0.90text
Einstein tensorrelated to DefinitionThe Einstein0.60section
Einstein tensorrelated to DefinitionRiemannian0.60section
Einstein tensorrelated to DefinitionIn0.60section
Einstein tensorrelated to DefinitionRicci0.60section
Einstein tensorrelated to Explicit formThe Ricci0.60section
Einstein tensorrelated to Explicit formEinstein0.60section
Einstein tensorrelated to Explicit formHowever0.60section
Einstein tensorrelated to Explicit formThe0.60section

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