Watch these sailors who are deep underwater react to gravity despite the deep ocean shielding them from space time.
To help you understand, bear in mind what space time is defined as being. Watch the sailors lean as the Submarine dives. They are fighting gravity and not space time. By the way, the entire Video is well worth watching. Americas most deadly ship is on display, the USS Kentucky.
Man, I've been fighting me some AI on this subject off and on for days now, and as of right now, I'm convinced it (time space) is just another "chicken and egg" phenomenon.
Semantics even.
As I understand it, everything that exists has inertia (even energy) and everything is traveling through time - even if it doesn't appear to be physically moving.
Huge amounts of mass can effectively warp or bend time and space around them, as even an atom has that as a characteristic. So more atoms mean more mass, and the warping is accumulative.
When an object in space is nowhere near any mass, it is what someone (Einstein) decided to call "geodesic." It's still moving through time, even if it isn't physically "moving."
When the object encounters the curved space-time of a large mass or black hole, it simply follows the strongest effect on "time" that it is presented with.
The straightest line between two points is a straight line, and that is the path the object (which appears to be falling) is trying to follow.
There are a lot of other factors that affect the path. Resistance (frictions), etc.
Like I said, it's almost semantics. It looks like the object is being "pulled" to the Earth (example), but the explanation is that the Earth simply warps the time and space around itself, and everything tries to follow that warped time towards the center of the mass.
AI couldn't explain how or why even a single atom has a minuscule effect on space-time, but (LOL) it refuses to see it as "gravity."
A rose by any other name is still a rose.