Its curvature, density, that part that dilates, warps.

Special case: smooth spacetime with zero curvature (think special relativity) an increase in speed (acceleration) of the object in smooth spacetime induces, for the object, a contraction of space, a slowing of time and an increase in mass.

General Case: Curved spacetime with space warping massive planets/suns nearby, the object, no longer in smooth spacetime, follows a path that keeps its relativistic spacetime flat in curved spacetime.

The accleration induces a relativistic spacetime curvature that negates, for the object, the curvature of spacetime.

The induced acceleration would be proportional to the curvature of spacetime.

God its late, let me sleep on it!

I could not join any group that would have me as a member!