Brax, PhilippeValageas, PatrickRuiz Cembranos, José Alberto2023-06-162023-06-162020-01-242470-001010.1103/PhysRevD.101.023521https://hdl.handle.net/20.500.14352/6064© 2020 American Physical Society. This work is supported in part by the EU Horizon 2020 research and innovation program under the Marie-Sklodowska Grant No. 690575. This article is based upon work related to the COST Action CA15117 (CANTATA) supported by COST (European Cooperation in Science and Technology). The work by J. A. R. C. is partially supported by the MINECO (Spain) Project No. FIS2016-78859-P (AEI/FEDER, UE). This work was made possible by Institut Pascal at Universit ' e Paris-Saclay with the support of the P2I and SPU research departments and the P2IO Laboratory of Excellence (program Investissements davenir ANR-11-IDEX-0003-01 Paris-Saclay and ANR-10-LABX-0038), as well as the IPhT.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.engjournal articlehttp://dx.doi.org/10.1103/PhysRevD.101.023521https://journals.aps.org/open access53LightFieldGalaxiesFuzzy.Física (Física)22 Física