Self-interacting dark matter cusps around massive black holes

  title={Self-interacting dark matter cusps around massive black holes},
  author={Stuart L. Shapiro and Vasileios Paschalidis},
  journal={Physical Review D},
We adopt the conduction fluid approximation to model the steady-state distribution of matter around a massive black hole at the center of a weakly collisional cluster of particles. By ``weakly collisional'' we mean a cluster in which the mean free time between particle collisions is much longer than the characteristic particle crossing (dynamical) time scale, but shorter than the cluster lifetime. When applied to a star cluster, we reproduce the familiar Bahcall-Wolf power-law cusp solution for… 

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