Einstein tensor fully written out

[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.

 

[dextercioby]

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

 

[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.

 

[bapowell]

http://en.wikipedia.org/wiki/Einstein_tensor