Moore General Relativity Workbook Solutions May 2026

After some calculations, we find that the geodesic equation becomes

which describes a straight line in flat spacetime. moore general relativity workbook solutions

$$\frac{d^2t}{d\lambda^2} = 0, \quad \frac{d^2x^i}{d\lambda^2} = 0$$ After some calculations, we find that the geodesic

$$\frac{d^2x^\mu}{d\lambda^2} + \Gamma^\mu_{\alpha\beta} \frac{dx^\alpha}{d\lambda} \frac{dx^\beta}{d\lambda} = 0$$ After some calculations

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