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Mistake in Carroll?

  1. Jun 10, 2013 #1
    Mistake in Carroll's Notes?

    On the page 186 of Lecture Notes on General Relativity, where he writes the line element in both ##\tilde{u}## and ##\tilde{v}## coordinates , I think he missed a minus sign. Can someone check it, please?

    Also, why he writes ##(d\tilde{u} d\tilde{v}+d\tilde{v}d\tilde{u})/2## instead of ##d\tilde{u} d\tilde{v}##?
     
    Last edited: Jun 11, 2013
  2. jcsd
  3. Jun 12, 2013 #2
    Yes, that's a typo. The first term in equation 7.73 on page 186 should be negative.
     
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