Basically, my question is the title. If a black hole crosses the Roche limit of another black hole, what happens?
For a hypothetical example, let’s say you have a two black holes: one at 5 solar masses and one at 300 solar masses. If the smaller black hole crosses the Roche limit of the larger what happens? Does they simply merge? Would the event horizon of one or both black hole’s be geometrically distorted in some way or retain their spherical shape?
The singularity is like a state of matter and time merged into one. So the black hole is not an object or baryonic matter. The observable effects are limited to stuff in orbit and the bending of time. That stuff would be going wild, but in terms of the singularity itself, it is more like two enormous gravity wells of infinite depth in time. The walls of that well can be moved around a bit but there is no way to make the well anything but larger. The one exception being Hawking radiation. That is a hole in reality, not an object… probably wrong, but that is how I understand it.