This is probably a stupid question but so as ##r \to \infty ## it is clear that(adsbygoogle = window.adsbygoogle || []).push({});

##-(1-GM/r)dt^2+(1-GM/r)^{-1}dr^2 \to -dt^2 +dr^2 ##

However how do you consider ## \lim r \to \infty (r^2d\Omega^2 )##..?

Schwarschild metric: ##-(1-GM/r)dt^2+(1-GM/r)^{-1}dr^2+r^2 d\Omega^2##

flat metric : ##-dt^2+dr^2+r^2 d\Omega^2##

i.e without doing this limit the result is clear, but what happens to this limit?

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# I Schwarzschild metric asymptotically flat

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