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**Hello all,**

I have a quick question regarding the relation of the space-time metric and the curvature. I have determined the space-time metric, g_(alpha beta), but I am unsure as how to go from the line element ds^2 = [ 1 + (dz/dr)^2] dr^2 + r^2 dtheta^2

and the space-time metric g to the curvature R_(alpha beta)

which I can then use R_(alpha beta) = (G/c^4) T_(alpha beta) to find the stress energy tensor. So, stated in another way, my question is how do I go from line element and space-time metric to the curvature? Do I have to go through all of the Christoffel symbols and is there a formula to help with this?

Thanks for any help you guys can give.

Stephen