# Einstein tensor fully written out

1. Dec 17, 2013

### greypilgrim

Hi,

Does somebody know a link where the Einstein tensor is fully written out, i.e. only containing the metric and its derivatives? I'm just wondering how much is actually hidden in the notation.

2. Dec 17, 2013

### dextercioby

There;s only message anyone can give: write it out yourself.

3. Dec 17, 2013

### Mentz114

Yes, it takes ages. This is the Riemann tensor in terms of Christoffel symbols

${R^{r}}_{msq}=\Gamma ^{r}_{mq,s}-\Gamma ^{r}_{ms,q}+\Gamma ^{r}_{ns}\Gamma ^{n}_{mq}-\Gamma ^{r}_{nq}\Gamma ^{n}_{ms}$

the ',' before an index is differentiation. Contract on idexes r and s and you have the Ricci tensor, etc.

4. Dec 17, 2013