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Double covariant derivative of function of scalar

  1. Oct 9, 2015 #1
    If R is Ricci scalar
    ∇i∇j F(R) = ??? , where ∇i is covariant derivative.
     
  2. jcsd
  3. Oct 9, 2015 #2
    Since [itex] F(R) [/itex] is scalar function, the first derivative is just ordinary gradient. But, after taking gradient, it now become a vector quantity and the second covariant acts on the vector quantity which will make some connection term.
     
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