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?
I don’t think anything except merging would happen.
The Roche limit is for things held together by gravity and that can escape from said gravity. It’s basically the stronger external gravity winning out over internal gravity.
The problem is nothing can escape the singularity so how could it break apart?