- #1
Altabeh
- 660
- 0
Homework Statement
Hello
The following integral turns out to be a bit nerve-wracking for me as I’ve tried almost any possible way to get the answer but all my efforts got blocked up and fell flat in their face somehow. The integral which may sound familiar is
[tex]\tau=\int_{0}^{2m}{\frac{1}{\sqrt{2m/r-1}}}dr[/tex],
and shows the lifetime of an observer swallowed up by the Schwarzschild BH from the time he enters the BH through the hypersurface [tex]r=2m[/tex] to the time he falls into the spacetime singularity at [tex]r=0[/tex] where he is doomed to die dreadfully.
Any help will be highly appreciated.
AB