So, I kind of messed up there. I was working on some half-remembered things I'd absorbed from somewhere and which was way outside of my pay grade. For functional purposes, it's probably best to just forget the whole idea of travelling faster than light inside a black hole. I'm not an expert on any of this, I just find it really cool so, you know, I make mistakes.If you could travel faster than light, then the event horizon wouldn't be an event horizon properly speaking; you could have faster than light trajectories that travel through and then out of it in a hyperbolic trajectory.
But the problem is, again, spacetime inside a black hole is completely broken. It's not that the escape velocity of the black hole is faster than light, and it's not like if you go faster than light you could go back the way you came. Spatial dimensions as we understand them no longer exist in the warped space of the black hole. In essence, the direction you came into the hole doesn't exist any more. If you point your awesome FTL spaceship in what you think is that direction, you'll just drive into the singularity because that's what happens if you go in any direction. A black hole is kind of like its own little bubble universe where the only direction is down.
But black holes are incredibly weird. They are literally impossible things that break our understanding of the universe we live in. Although it's extremely likely that a black hole is just an inevitable one-way ticket to crushing death, there are definately weirder things people have speculated. For one, remember how singularities become rings when they spin. Well, if they spin incredibly fast they might stretch out to the point that you could fall through them rather than into them. In that case, you're probably still going to die but you might die in a far more bizarre way.
You wouldn't need to be going faster than light (although in order to orbit a black hole you'd need to be travelling close to the speed of light and even then maintaining a stable orbit would be impossible as space starts to bend in close proximity to the event horizon, it's a region we call the ergosphere where some of the reality-warping properties of the black hole can be felt). By merely being close to the black hole your relative frame of temporal reference would slow down due to the immense gravity. If you got really close to the black hole, you could easily skip millions of years. But, because the black hole operates on the same frame of reference, this fact isn't going to save you. The black hole isn't going to evaporate before you can fall into it.If you're past the event horizon there is no turning back as light can't escape from a black hole. Going faster than light around a black hole slows down time so I believe for every six months or so a year on earth will have passed.
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