Double covariant derivative of function of scalar

[Prafulla Bagde]

If R is Ricci scalar
∇i∇j F(R) = ? , where ∇i is covariant derivative.

 

[Daeho Ro]

Since $F(R)$ 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.