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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.
Daniel.
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.
Daniel.