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Homework Help: Coordinate transformation to flat space

  1. Aug 27, 2007 #1
    1. The problem statement, all variables and given/known data
    find the transformation that turns this metric:

    into the minkowski metric: diag(-1,1).

    3. The attempt at a solution
    attempt 1:
    I transformed the above metric into the coordinates that use the lines that define the light cone as the axes. Namely,

    attempt 2:
    If I can transform the above, into the coordinates u and v such that i have
    [tex] ds^2=-dudv [/tex]
    then I'm done because with another transformation:
    I have the relation

    Is there a systematic way of doing this?
  2. jcsd
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