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Minkowski Killing Vector

  1. Oct 30, 2014 #1
    1. The problem statement, all variables and given/known data
    How do you find the killing vectors for Minkowski space(or from any metric as well)?

    2. Relevant equations


    3. The attempt at a solution
    I'm new to GR and I'm going through Carroll's book. I've been alright so far but for some reason I just don't understand what's going on here. Could you guys explain in detail or send me to an online lecture or something to help?
     
  2. jcsd
  3. Oct 30, 2014 #2

    stevendaryl

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    If [itex]X^\mu[/itex] is a killing vector field, then it obeys the equation:

    [itex]\nabla_\alpha X_\beta + \nabla_\beta X_\alpha = 0[/itex]

    where [itex]\nabla_\alpha[/itex] is the covariant derivative.
     
  4. Oct 30, 2014 #3
    I seem to have forgotten notation. -.- I wasn't even thinking of the covariant derivative. Thanks haha
     
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