- #1
rohanlol7
- 67
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Homework Statement
We are asked to show that:
## \frac{d^2x_\mu}{d\tau^2}= \frac{1}{2} \frac{dx^\nu}{d\tau} \frac{dx^{\rho}}{d\tau} \frac{\partial g_{\rho \nu}}{\partial x^{\mu}} ##
( please ignore the image in this section i cannot remove it for some reason )
Homework Equations
The Attempt at a Solution
[/B]I have tried substituting ## x_\mu = g_{a\mu} x^{a} ## in the geodesic equation, but all that i end up with is a complete mess.
Maybe I am understanding it all wrong, for instance i think that ## \frac{dx_\mu}{d\tau} = \frac{ d g_{a\mu} x^{a}}{d\tau}##, Is this correct or is the ##g_{a\mu}## supposed to go outside of the derivative ?
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