Hi. As I understand gravity is a curvature of space-time. So as I throw an apple into the air I am giving it kinetic energy to travel "up" this curvature. This then is made into potential energy as the apple decelerates. Now lets imagine 2 objects in deep space, far from anything else. For fun lets say they are the same mass as our sun. From a distance of, say 2 light-years, I would think that these objects would have no potential energy towards each other. If these objects get close enough to each other, they will both accelerate towards one another. To move an object of that mass would require a lot of energy, yet they both accelerate? Where did they get the energy to do that?