[itex]\dfrac{d^2 x}{dt^2}=-\nabla \Phi[/itex](adsbygoogle = window.adsbygoogle || []).push({});

[itex]\dfrac{d^2 x^\mu}{d\tau^2}[/itex][itex]= -\Gamma^{\mu}_{\alpha \beta}{}[/itex][itex]\dfrac{dx^\alpha}{d\tau}\dfrac{dx^\beta}{d\tau}[/itex]

These two equations, to be true, the way they are written should ring a bell. They are similar yet not identical. What is the meaning behind them?

I guess first is Newtonian; second, is Einstein.

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# Geodesics equations

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