Posted: Mar 02, 2011 9:28 pm
by twistor59
CdesignProponentsist wrote:Define connection coefficient (in layman's terms please :scratch: )


They're the things that allow you to do parallel transport of a vector. I'll let John Baez describe parallel transport to you because he's good at making things visual:

http://math.ucr.edu/home/baez/gr/parallel.transport.html

A geodesic is a curve that parallel transports it's own tangent vector. It's thus the "straightest" curve possible between two points on a manifold (like spacetime) that may be curved. It's the curve that a freely falling body will follow.


CdesignProponentsist wrote:
And what is the difference between the acceleration and gravitational force?


only a factor of m.