Geodesic equation in Minkowski space clarification

[sqljunkey]

Hi,
So the geodesic equation is saying in my frame of reference I may see acceleration and then in your frame of reference you may see gravity? So by just changing coordinates you can create a "force" ?

And also is this relevant to the Minkowski space or do I need to be in GR to be able to get this interchange of acceleration and force?

Thanks

 

[PeterDonis]

So the geodesic equation is saying in my frame of reference I may see acceleration and then in your frame of reference you may see gravity?

No. The geodesic equation tells you what worldlines are freely falling, i.e., weightless. That has nothing to do with frames of reference.

You might be confusing the geodesic equation with the equivalence principle.

So by just changing coordinates you can create a "force" ?

No, because in relativity gravity is not a force. Objects moving solely under gravity are in free fall, and in relativity free fall means zero force.