Black Hole Disks in Galactic Nuclei

TL;DR

This paper models the equilibrium configurations of nuclear star clusters around supermassive black holes, revealing that massive stars and black holes form warped disks which influence merger rates and gravitational wave sources.

Contribution

It introduces a Monte Carlo Markov chain method to analyze the statistical equilibrium of NSCs with diverse stellar populations, explaining observed structures and predicting black hole distributions.

Findings

Massive stars and black holes form warped disks in NSCs.

Low mass stars tend to be spherical with possible net rotation.

Merger rates and gravitational wave event predictions are significantly increased.

Abstract

Gravitational torques among objects orbiting a supermassive black hole drive the rapid reorientation of orbital planes in nuclear star clusters (NSCs), a process known as vector resonant relaxation. In this Letter, we determine the statistical equilibrium of systems with a distribution of masses, semimajor axes, and eccentricities. We average the interaction over the apsidal precession time and construct a Monte Carlo Markov chain method to sample the microcanonical ensemble of the NSC. We examine the case of NSCs formed by 16 episodes of star formation or globular cluster infall. We find that the massive stars and stellar mass black holes form a warped disk, while low mass stars resemble a spherical distribution with a possible net rotation. This explains the origin of the clockwise disk in the Galactic center and predicts a population of black holes (BHs) embedded within this structure. The rate of mergers among massive stars, tidal disruption events of massive stars by BHs, and BH-BH mergers are highly increased in such disks. The first two may explain the origin of the observed G1 and G2 clouds, the latter may be important for gravitational wave detections with LIGO and VIRGO. More generally, black holes are expected to settle in disks in all dense spherical stellar systems assembled by mergers of smaller systems including globular clusters.