Writing the EFE in a different form

[Matterwave]

Anyone know where I can, possiblely, find the EFE's written only in terms of the metric tensor and the stress-energy tensor? I know that the Ricci Curvature tensor and the Ricci scalar are derived (eventually) from the metric tensor (after a roundabout way through Christoffel symbols). The expression, I would think would be immensely long, but is there a place that has it?

 

[bcrowell]

You could probably generate it using software like Maxima and ctensor, or cadabra.

 

[Matterwave]

I.C. I'm not familiar with such software...do you think any website may have it?

It's not that important, I'd just like to see the thing so it becomes a little more concrete in my mind.

 

[hamster143]

I did that for a presentation a couple of years ago, but I can't seem to find the latex file with the complete expression. As I remember, there were around 50 terms on the LHS, with all sorts of permutations of up to 4 factors of g per term, the whole thing looked remarkably messy and lacked any visible patterns.

You can reconstruct it by hand in less than an hour, starting here

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

 

[Matterwave]

Ok, I may do that sometime...I just don't have the time right now hehe, essay for school due tomorrow, and I haven't started yet! D=