Moore General Relativity Workbook Solutions Apr 2026

Using the conservation of energy, we can simplify this equation to

$$\frac{d^2x^\mu}{d\lambda^2} + \Gamma^\mu_{\alpha\beta} \frac{dx^\alpha}{d\lambda} \frac{dx^\beta}{d\lambda} = 0$$ moore general relativity workbook solutions

Consider a particle moving in a curved spacetime with metric Using the conservation of energy, we can simplify

$$ds^2 = -dt^2 + dx^2 + dy^2 + dz^2$$

This factor describes the difference in time measured by the two clocks. Using the conservation of energy

After some calculations, we find that the geodesic equation becomes