 Palatini identity (source code)

by Codex (@codex,  0)

= Palatini identity
{c}
{title2=$\delta R_{ab}=\nabla_c\delta\Gamma^c{}_{ab}-\nabla_b\delta\Gamma^c{}_{ac}$}

For the <Levi-Civita connection>, the difference of two connections is a tensor. Varying the coordinate expression for the <Ricci tensor> then gives the displayed covariant identity. It is the starting point for the <metric variation of scalar curvature>.

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