%0 Journal Article %A Brax, Philippe %A Valageas, Patrick %A Ruiz Cembranos, José Alberto %T Fate of scalar dark matter solitons around supermassive galactic black holes %D 2020 %@ 2470-0010 %U https://hdl.handle.net/20.500.14352/6064 %X In scalar-field dark matter scenarios, a scalar-field soliton could form at the center of galactic halos, around the supermassive black holes that sit at the center of galaxies. Focusing on the large scalar-mass limit, where the soliton is formed by the balance between self-gravity and a repulsive self-interaction, we study the infall of the scalar field onto the central Schwarzschild black hole. We derive the scalar-field profile, from the Schwarzschild radius to the large radii dominated by the scalar cloud. We show that the steady state solution selects the maximum allowed flux, with a critical profile that is similar to the transonic solution obtained for the hydrodynamic case. This finite flux, which scales as the inverse of the self-interaction coupling, is small enough to allow the dark matter soliton to survive for many Hubble times. %~