Question: d'Alembertian in General Relativity don't give waht I am looking for

I have to prove the following:

So I do not need the explicit derivative of the function Psi(r,t) . The metric is:

ds^2=(1-rg/r)*dt^2-(1-rg/r)^(-1)*dr^2

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 theta and phi.  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. 

Mario Lemelin

dAlembertian.mw

 

 

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