Palatini identity
id:
palatini-identity-296-9620016
title:
Palatini identity
text:
In general relativity and tensor calculus, the Palatini identity is where δ Γ ν σ ρ denotes the variation of Christoffel symbols and ∇ ρ indicates covariant differentiation. The "same" identity holds for the Lie derivative L ξ R σ ν . In fact, one has where ξ = ξ ρ ∂ ρ denotes any vector field on the spacetime manifold M .
brand slug:
wiki
category slug:
encyclopedia
description:
Variation of the Ricci tensor with respect to the metric.
original url:
https://en.wikipedia.org/wiki/Palatini_identity
date created:
date modified:
2023-06-29T08:20:24Z
main entity:
{"identifier":"Q15975626","url":"https://www.wikidata.org/entity/Q15975626"}
image:
fields total:
13
integrity:
14