We start by defining two coordinates ##u=t+r^*## and ##v=t-r^*##. Then we define another two coordinates ##u'=e^{u/4GM}## and ##v'=-e^{-v/4GM}##. But from what I have understood this is true for ##r>2GM##. How do we define ##u'## and ##v'## for ##r<2GM##?(adsbygoogle = window.adsbygoogle || []).push({});

I think it's ##u'=e^{u/4GM}## and ##v'=e^{-v/4GM}## for ##r<2GM## so that the line element is the same for ##r<2GM## and ##r>2GM##.

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# Kruzkal coordinates for inside the horizon

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