Well what should happen is.....
Ships should be torn apart by massive gravitational forces long before they reach the event horizon.
But supposing some very high level tech prevented this, then the ship would move slower and slower and freeze forever just before it reached the event horizon at least relative to the experience of everyone in the rest of the universe to the people in the ship who knows no one can say what lies beyond an event horizon but they from their perspective would pass across.
Blackholes massivley warp time as well as space and even before gravity destroyed your ship you would have to contend with a lot of hard radiation being produced by the destruction of matter on approach to the black hole.
But in the game this should be abstracted out to blocking movement since no sane person would expect to be able to approach a black hole and live.
