The Influence of Merges with Various Mass Ratios on the Spins of Black Holes

The distribution of black hole spins in consideration of only the effect of merges is discussed. The angular momentum after merging is treated via the post-Newtonian approximation, and the effects of merges under different conditions are simulated by adopting the Monte Carlo method. The obtained results indicate that the major merge cannot make the distribution of black hole spins stable, but the minor merge can make the black hole spin smoothly slow down. The distribution of black hole spins can stay at a stable level with the overwhelming proportion of small spins, when the mass ratio of merging black holes takes the form of power-law function. In addition, based on the simulated results, the possible relationship between radio-loud active galactic nuclei (AGNs) and black hole spins is also discussed. Finally, the distribution of radio loudness is calculated and presented.