Alright, thanks for the help kdv - I've gone through with correct indices and reduced the problem to showing spatial derivatives dominate time derivatives...why would this be true?
Sorry, yes, that is what I meant.
I may have skipped a step - I noticed the only non-zero elements in g_{ab} and g^{ab} are those on the diagonal, so I let l=\alpha. That put a few more alphas in on the right.
Sorry, another typo...that should be (-1+\epsilon h_{00}+O(\epsilon^2))_{ ...
Homework Statement
For the weak field metric
g_{00}=-1+\epsilon h_{00}+O(\epsilon^2)
g_{\alpha\beta}=\delta_{\alpha\beta}+\epsilon h_{\alpha\beta}+O(\epsilon^2)
Prove
R_{00}=-\frac{1}{2}\epsilon\frac{\partial^2h_{00}}{\partial x^\alpha\partial x^\beta}+O(\epsilon^2)
Homework Equations
The hint...