"In the case of a black hole, since there is no surface, you would compare the clocks on two rockets, one "hovering" close to the horizon vs. one "hovering" much higher up."
If you are in one of the rockets nearing the black hole, does the gravitational time dilation apply to all things...
What are the equations that shows that time slows down as you near a black hole? I'm trying to prove to a non-believer that the math is there and shows this. Thanks!