Recall from the

Exercise 14.7 that the torsion tensor is given by:

Writing

we can see immediately that the torsion contribution will only come from the final term and so:

Hence the general expression including torsion is:

Although not required for this question, the curvature tensor can be calculated by simplifying the the first four terms in the previous equation to get:

(I show the details of how to arrive at this result in my response to

Exercise 14.27)