The equation of motion for a radial geodesic can be derived from the geodesic equation. After some algebra, we find
where $\lambda$ is a parameter along the geodesic, and $\Gamma^\mu_{\alpha\beta}$ are the Christoffel symbols.
Consider the Schwarzschild metric
The equation of motion for a radial geodesic can be derived from the geodesic equation. After some algebra, we find
where $\lambda$ is a parameter along the geodesic, and $\Gamma^\mu_{\alpha\beta}$ are the Christoffel symbols.
Consider the Schwarzschild metric
