In GR, we know that it is the curvature in 4-d space-time that directs the movement of objects. It basically shows them WHERE to move. My question is, assuming there are no planets or others masses that can cause any more distortion to the existing curvature created by the Sun. Just the Sun itself, considering placing a motionless(velocity = 0) meteorite shard in the curvature of the Sun. It does move towards the Sun. But what gives it the momentum that it doesn't have initially?