At the centers of many galaxies lurk supermassive black holes, surrounded by disks of gas, cosmic dust, and stars. Their collisions can spawn gravitational waves — ripples in spacetime. The old picture, developed by Rashid Sunyaev, portrayed this disk as thin and flat, like a packed dance floor: any movement causes a bump.
New research confirms: thickness rules the fate of collisions. Thin disk — cramped, thick disk — empty. Magnetic fields threading the disk can inflate it to enormous sizes, especially in the outer regions. Then, instead of a bustling cosmic mosh pit, near-absolute silence falls.
as written by the authors arXiv:2601.02487v2
Multiple models have been suggested over the years to explain the structure and support of accretion disks around supermassive black holes, from the standard thin thermal-pressure-dominated $$\alpha$$-disk model to more recent models that describe geometrically thicker radiation or magnetic or turbulence-dominated disks. In any case, objects embedded in the disk (e.g. compact objects, stars, gas, dust) can undergo gravitational and hydrodynamic interactions with each other leading to interesting processes such as binary interaction/capture, gravitational wave merger events, dynamical friction, accretion, gap opening, etc. It has long been argued that disks of active galactic nuclei (AGN) can enhance the rates for many of these events; however, almost all of that analysis has assumed specific thin-disk models (with aspect ratios $$H/R \lesssim 0.01$$). We show here that the rates for processes such as these that are mediated by gravitational cross-sections has a very strong inverse dependence on the thickness $$H/R$$ (scaling as steeply as $$(H/R)^{-8}$$), and $$H/R$$ can vary in the outer disk (where these processes are often invoked) by factors $$\gtrsim 1000$$ depending on the assumed source of pressure support in the disk. This predicts rates that can be lower by tens of orders-of-magnitude in some models, demonstrating that it is critical to account for disk parameters such as aspect ratio and different sources of disk pressure when computing any meaningful predictions for these rates. For instance, if magnetic pressure is important in the outer disk, as suggested in recent work, capture rates would be suppressed by factors $$\sim 10^{10}-10^{20}$$ compared to previous studies where magnetic pressure was ignored.
If the disk stayed flat like a packed dance floor, collisions would thunder nonstop. But magnetic fields transform it into an empty multi-story atrium, where encounters are almost impossible.