There seem to be many thousands of black holes orbiting Sagittarius A*, so this kind of thing must be happening quite a lot nearby-ish, so, obviously, need answer fast.
Some years ago, there was a lovely piece in Sci-Am that narrated a supernova. I enjoyed quite a bit and felt like I had a front row seat to a cataclysm.
Recently, LIGO detected two black holes spinning together and merging, which made me ponder: what the hell must that be like.
As I understand black holes, they are not as much of a thing in the same way that other more familiar things are things. Their interior geography is not well (or not at all) understood, just that there is a bunch of mass in there and all the interior geodesics lead to the singularity. Surrounding this, of course, is the ever-popular event horizon, the boundary between regular spacetime and weirdness.
In the cases we know about, the two black holes enter a capture orbit and spin down toward each other – straight line, head on mergers seem like a thing that could happen (and probably has) but is likely to be very rare.
In the spinning scenario, as long as there is separation of the event horizons, I expect that each of the black holes remains a discrete individual. When they get fairly close, there would, I think, be a literal exchange of mass via Hawking radiation, which might present some small resistance to the merger, and/or some sort of friction (like atmospheric drag or somesuch).
But once the event horizons meet to form an aperture – a joining of the interior weirdness – what happens? Do they form some sort of false singularity upon which all of their geometry focuses, driving the two singularities together with all dispatch? And does the shared event horizon rapidly realign to center on the false singularity?