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Find all [vanishing and non-vanishing] components of mixed curvature tensor. For metric
It means find all components of Rprmn.
Where p, r, m, and n varies from 0, 1, 2, 3.
ds2 = eN-M dr2 + e-(M+N)dt2 + 2dxdy.
Where M and N are functions of variables x and y.
Formula for mixed curvature tensor is
Rprmn = rn,mΓP - rm,nΓP + rnΓq qmΓP- rmΓq qnΓP
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