From what I understand of GR, time dilates due to the gravity of massive bodies. I like to think of it as the three coordinates of space drag, or lag, through time at a slower rate resulting in distortion of space-time. Correct me if my logic is flawed. But my question is this; why do bodies of mass fall towards areas of greater time dilation? or I guess in a 2 dimensional model of space it falls to the "lowest" point, the dip caused by the massive body? Does mass long to travel through time at slower rates?