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## Main Question or Discussion Point

I'm confused,

If all the above is true, can we say free-fall is an inertial motion and acceleration?

Answer the bold part first, please. We can move on after that.

Many thanks,

**but when objects travel along the straight lines in curved space-time, do they undergo acceleration?**We know that following geodesics is equivalent to inertial motion (one example is free-fall), but when these inertially moving objects travel in curved spacetime, they accelerate, do they (since the geometry of space-time tells matter how to move)? If yes, wouldn't that give us the generalization that gravitation, the curvature of spacetime,*causes*acceleration? Or gravitation*is*acceleration?If all the above is true, can we say free-fall is an inertial motion and acceleration?

Answer the bold part first, please. We can move on after that.

Many thanks,