where g is the determinant of the metric, and [itex]\Gamma[/itex] are the Christoffel connection coefficients.
The Attempt at a Solution
From the general definition of the coefficients I got:
But I have no idea how to work with the determinant of the metric. I'm not sure if I'm allowed to use this:
det(g)=exp[Tr ln G]
And if I did, would I have to use the GR definition of the trace?
[tex] Tr R = R^\mu_\mu [/tex]
I cleaned it up a little bit with the chain rule: