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Riemann tensor in normal coordinates (General Relativity)

  1. Apr 2, 2010 #1
    1. The problem statement, all variables and given/known data

    Find a simplified expression for the Riemann tensor in terms of the connection in normal coordinates.

    2. Relevant equations

    Riemann tensor = (derivative of connection term) - (derivative of connection term) - (connection term)(connection term) - (connection term)(connection term)

    3. The attempt at a solution

    My solution is

    Riemann tensor = (derivative of connection term) - (derivative of connection term)

    , where I have used the fact that the connections evaluated at point P are all 0, but their derivatives are not necessarily 0.

    My problem is that 3 MARKS are allocated to this question (from a possible 60 marks in a 2 hour paper), and that this looks far too simple a solution for 3 marks.

    What am I missing?

    Trev
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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