where $L$ is the conserved angular momentum.
$$\frac{d^2x^\mu}{d\lambda^2} + \Gamma^\mu_{\alpha\beta} \frac{dx^\alpha}{d\lambda} \frac{dx^\beta}{d\lambda} = 0$$ moore general relativity workbook solutions
$$ds^2 = -dt^2 + dx^2 + dy^2 + dz^2$$
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. where $L$ is the conserved angular momentum
The geodesic equation is given by
$$\frac{d^2r}{d\lambda^2} = -\frac{GM}{r^2} + \frac{L^2}{r^3}$$ moore general relativity workbook solutions
Consider a particle moving in a curved spacetime with metric