The metric is given by
H is constant; s is an affine parameter, and so r(0)=t(0)=0.
Apologise in advance because I'm not very good with LaTex. So I used Word for equations, and upload handwritten attempt at solution
Need to show that the null geodesics from r=0, t=0 are given by
The Attempt at a Solution
I get the required t but the sign is different.
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