# Help! Covariant Derivative of Ricci Tensor the hard way.

1. Mar 3, 2012

### nobraner

I am trying to calculate the covariant derivative of the Ricci Tensor the way Einstein did it, but I keep coming up with

$\nabla_{μ}$R$_{αβ}$=$\frac{∂}{∂x^{μ}}$R$_{αβ}$-2$\Gamma^{α}_{μ\gamma}$R$_{αβ}$

or

$\nabla_{μ}$R$_{αβ}$=$\frac{∂}{∂x^{μ}}$R$_{αβ}$-$\Gamma^{α}_{μ\gamma}$R$_{αβ}$-$\Gamma^{β}_{μ\gamma}$R$_{αβ}$

Any assistance will be much appreciated.