I have to prove the following:
So I do not need the explicit derivative of the function (r,t) . The metric is:
I am in the case of a collapsing star that emit radiation during the collapsing. And I do not need to have a rotating black hole so that the reason I dont have dt*dr term in the metric, and I fix and . So if you look in the Maple file attach to this post, I don't manage to obtain what I need to prove the equality between the two aspect of the same calculation.
Plese, take into account that I am sort of novice with the Physcis package and that the question is not part of an exam.
Thank you in advance for your help.