- #1

LCSphysicist

- 646

- 162

- Homework Statement
- .

- Relevant Equations
- .

$$d\tau = \sqrt{-g_{\mu v}\frac{dx^{\mu}}{d\lambda} \frac{dx^{v}}{d \lambda}} d \lambda $$

Calling ##d \lambda = d t##, t is coordinate time in an inertial frame.

$$\Delta \tau = \int \sqrt{-(-1+v^2/c^2)} dt$$

$$\Delta \tau \approx \Delta t - \frac{g^2*\Delta t^2}{6c^2}$$

where $$\Delta t = 2 \sqrt{L/g}, L = 30,000ly$$

So we just need to substitute it. Is this right?