Establish Eq. (6.89) from Eq. (6.88). Eq. (6.88) Rv, = 1/2 (gv, - g, + g,v -
Question:
Eq. (6.88)
Rαβμv,λ = 1/2 (gαv,βμλ - gαμ,βμλ + gβμ,αvλ - gβv,αμλ).
Eq. (6.89)
Rαβμv,λ + Rαβλμ,v + Rαβvλ,μ = 0
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The solution follows from straightforward substitution ...View the full answer
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