/sci/ - Science & Math

>>9232670
I am absolutely brain dead for GR, and also lazy, but hopefully someone will correct what I did at least and give you the correct answer after all.

Your metric tensor seems to be
[math]g= -( \frac{L}{z})^{2} \left[ \begin{array}{cccc} -1 & & & \\ & 1 & \\ & & 1 \\ & & & 2 \end{array} \right] [/math]

So putting it in a computer, it tells me that the Ricci tensor R is the matrix in the pic. Your Christoffel Symbol seems to be [math] \Gamma^t_{tz} = \frac{1}{z} [/math], which is the only one I've done by hand to confirm it.

You should absolutely not trust anything I've written here since I've only taken GR online as a hobby and this is the first exercise I've done any actual calculation.