Orbital Migration of Interacting Stellar Mass Black Holes in Disks around Supermassive Black Holes II. Spins and Incoming Objects

The mass, rate, and spins of merging stellar-mass binary black holes (BBHs) detected by aLIGO and Advanced Virgo provide challenges to traditional BBH formation and merger scenarios. An active galactic nucleus (AGN) disk provides a promising additional merger channel, because of the powerful influence of the gas that drives orbital evolution, makes encounters dissipative, and leads to migration. Previous work showed that stellar mass black holes (sBHs) in an AGN disk migrate to regions of the disk, known as migration traps, where positive and negative gas torques cancel out, leading to frequent BBH formation. Here we build on that work by simulating the evolution of additional sBHs that enter the inner disk by either migration or inclination reduction. We also examine whether the BBHs formed in our models have retrograde or prograde orbits around their centers of mass with respect to the disk, determining the orientation, relative to the disk, of the spin of the merged BBHs. We find that orbiters entering the inner disk form BBHs, that are commonly asymmetric in mass, with sBHs on resonant orbits near the migration trap. When these black holes reach 80 solar masses, they form BBHs with sBHs in the migration trap, which over 10 Myr reach about 1000 solar masses. We also find that 68% of the BBHs in our simulation orbit in the retrograde direction, which implies our merger channel could easily produce the low values of the dimensionless aligned spin, chi_eff, observed in a majority of BBH mergers detected thus far.