Recent results on the accretion of dark matter by supermassive black holes

Abstract

We describe the recent results obtained on the problem of accretion of dark matter by supermassive black holes, based on the evolution of matter fields on a black hole space-time. We mention the results for the models where dark matter is assumed to be an ideal gas, both with and without pressure, and the model that considers the dark matter is a scalar field. Up to now the analyses focus only on the radial accretion.