To elaborate more on what I mean:
Two spaceships are flying parallel to each other, both going completely straight relative to the observer. Their distances between each other do not change, as the rope is completely straight, and it does not move closer or farther as they are going parallel. While flying together, they pass a black hole, which is perfectly between them, and they are both equidistant from the black hole. Not accounting for the gravitational pull of the black hole on the spaceship, what would happen to the rope?
I guess you could take the entire spaceship idea out of the equation. To simplify, what would happen to a rope, of which both ends are past the event horizon, and do not move? In other words, relative to the observer, the middle-point of the rope appears to be moving directly in to the center of the black hole. Asking this in a non-pragmatic sense, what would happen?