As the title says, I have defined a manifold and its metric and the coordinates. I have also gotten the Christoffel symbols using christoffel_symbols(). But I cannot seem to find a way to derive the geodesic equations for this system. I'm not sure how to define the affine parameter and I cannot make the derivative operator work on symbolic functions of the coordinates and the Christoffel symbol components.
Is there a way to do this for any given well defined metric? Any help would be great. Cheers!
