Show that x(adsbygoogle = window.adsbygoogle || []).push({}); ^{1}=asecx^{2}is a geodesic for the Euclidean metric in polar coordinates.

So I tried taking all the derivatives and plugging into polar geodesic equations. Obviously, bad idea.

Now I'm thinking I need to use Dg_{ab}/du=g_{ab;c}x'^{c}and prove that the lengths of some vectors and their dot product are invariants under parallel transport, but I don't know how to go about doing that. Any advice on how to relate these concepts would be appreciated.

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# General Relativity Geodesic Problem

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