- #1
maxverywell
- 197
- 2
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##?
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##.
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##.