By the way, does time stop completely below the event horizon? Might be another reason why hiding out in a black hole wouldn't be such a good idea.
Amusingly, I just attended the last class before my final exam in general relativity, and all we talked about was the math behind black holes. Pretty interesting stuff, if only I could've understood all of it...
It turns out that space and time actually switch inside a black hole. Your time vector becomes space-like and your spatial vectors become timelike. What does that mean? I'm not entirely sure, but I do know that there is no escape from hitting the singularity at the very middle of the black hole. Since time is always moving forward, and your radial distance from the center is now your time vector, you have no choice but to eventually hit the middle. So far, what is at the middle of a black hole is still a bit of a mystery.
On a related note, the higher the gravity field you are in, the slower your time moves relative to observers outside that gravity field. Therefore, as you fall into a black hole, you will actually reach the event horizon in a finite amount of time (by your own watch), but a stationary observer from Earth watching you, will see everything slow down exponentially as you get closer to the event horizon. It slows down so much that they never actually see you hit the event horizon--it takes an infinite amount of Earth time for something to hit the event horizon. However, the infalling object experiences only a finite amount of time before getting to the event horizon, and then another finite amount of "time" before hitting the singularity at r=0. What happens there is still a matter of speculation.