As the geodesic equation in a form of(adsbygoogle = window.adsbygoogle || []).push({});

is quite familiar for me. But I still cannot derive it in terms of time coordinate parameter;

I can't get the second term on the right hand side

what I can get is

½{d[lng_{α}_{β}(dx^{α}/dt)(dx^{β}/dt)]/dt}dx^{μ}/dt

How can I obtain that term?

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# Geodesic Equation

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