An upper limit to the central density of dark matter haloes from consistency with the presence of massive central black holes

@article{Hernndez2010AnUL,
  title={An upper limit to the central density of dark matter haloes from consistency with the presence of massive central black holes},
  author={Xavier Hern{\'a}ndez and William H. Lee},
  journal={arXiv: Cosmology and Nongalactic Astrophysics},
  year={2010}
}
We study the growth rates of massive black holes in the centres of galaxies from accretion of dark matter from their surrounding haloes. By considering only the accretion due to dark matter particles on orbits unbound to the central black hole, we obtain a firm lower limit to the resulting accretion rate. We find that a runaway accretion regime occurs on a timescale which depends on the three characteristic parameters of the problem: the initial mass of the black hole, and the volume density… 

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