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If I find a solution of the geodesic equation and I change the parametrization, the new function does not

satisfy this equation for a general re-parametrization. But the world line is the same.

Can you confirm it: does it come from the fact that we usually choose [itex]\nabla_VV=0[/itex] instead of

[itex]\nabla_VV=fV[/itex]for the geodesic equation?

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# Re-parametrization of geodesics

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