Hello, please post the answer in full details and step-by-step without any shortcut. Thank you

6.31 This final exercise consists of a long calculation which will be needed later in the book. If we take coordinates xa=(x0,x1,x2,x3)=(t,r,,), then the four-dimensional spherically symmetric line element is ds2=evdt2e2dr2r2d2r2sin2d2, where v=v(t,r) and =(t,r) are arbitrary functions of t and r. (i) Find gab,g, and gab (see Exercise 6.13). (ii) Use the expressions in (i) to calculate bca. [Hint: re. member bca=cba] 6.13 (\$6.8) Show that if gab is diagonal, i.e. gab=0 if a=b, then gab is diagonal with corresponding reciprocal diagonal elements