Hi guys. I am new to the Maple environment.
Was trying to do some GR calculations when the following problem arose.
Setup(coordinates = (X = [t, r, theta, phi]), metric = -A(r)^2*(dt^2)+B(r)^2*(dr^2)+r^2*(dtheta^2)+r^2*(sin(theta)^2)*(dphi^2));
Setup(math = true);
Christoffel[nonzero]; Christoffel[`~mu`, alpha, beta, nonzero];
The output for the last 3 lines are:
2. Expansion in terms of Christoffel symbols (which does equal zero on substituting various values)
3. Non-zero value.
Obviously the answer must be zero for all cases (covariant derivative of metric). So what have I missed/misunderstood here?