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Tricky problem

  1. Nov 15, 2005 #1

    dextercioby

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    How do i find the number of independent components of the Riemann curvature tensor in D space-time dimensions.

    One is given that the Riemann tensor is an (2,2) irreducible rep of [itex] GL(4, \mathbb{R}) [/itex] and obeys Bianchi I

    [tex] R_{[\mu\nu|\rho]\lambda}=0 [/tex]

    Been trying this problem for 3 days and couldn't come up with a reasonable answer. :frown:


    Daniel.
     
  2. jcsd
  3. Nov 17, 2005 #2
    (1/12)*n^2*(n^2-1) where n=D.
     
  4. Nov 21, 2005 #3

    dextercioby

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    Tx, but i found it solved in Nakahara pages 231-232.

    Daniel.
     
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