where $L$ is the conserved angular momentum.
The geodesic equation is given by
Using the conservation of energy, we can simplify this equation to
Derive the geodesic equation for this metric.
For the given metric, the non-zero Christoffel symbols are
Consider two clocks, one at rest at infinity and the other at rest at a distance $r$ from a massive object. Calculate the gravitational time dilation factor.
