Prove Eq (6 88) (Be careful one cannot simply differentiate Eq (6 67) since it is valid only at P, not in the neighborhood of P ) Eq (6 67) R Icirc plusmn Icirc sup2 Icirc frac14 v 1 2 g Iuml Iuml (g Iuml v, Icirc sup2 Icirc frac14 g Iuml Icirc frac14 , Icirc sup2 v g Icirc sup2 Icirc frac14 , Iuml...

Eq 688 gives the partial derivative of the Riemann curvature tensor As suggested in x 66 we can fin ...

Prove Eq. (6.88). (Be careful: one cannot simply differentiate Eq. (6.67) since it is valid only at

Question:

Prove Eq. (6.88). (Be careful: one cannot simply differentiate Eq. (6.67) since it is valid only at P, not in the neighborhood of P.)
Eq. (6.67)
RÎ±Î²Î¼v = 1/2 gÏƒÏƒ (gÏƒv, Î²Î¼ - gÏƒÎ¼,Î²v + gÎ²Î¼,Ïƒv - gÎ²v,ÏƒÎ¼).
Eq. (6.88)