https://www.math.ku.edu/~lerner/GR/Geodesics.pdf

 

A nice paper, on the dynamics of the geodesic in relativity. 

Well I liked this bit as it reminds me of a simpler example I owe Prometheus and explanation for,

The difference between analysis and synthesis.

So thanks +1

Quote

 Although we’re using the same words, conceptually this is somewhat different from the simple parallel propagation of a vector along a curve where the curve is already known. Here, we are constructing the curve by solving the equations.