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We present a numerical study of relativistic Bondi-Hoyle-Lyttleton (BHL)accretion onto an asymptotically flat black hole with synchronized hair. Thehair is sourced by an ultralight, complex scalar field, minimally coupled toEinstein's gravity. Our simulations consider a supersonic flow parametrized bythe asymptotic values of the fluid quantities and a sample of hairy black holeswith different masses, angular momenta, and amount of scalar hair. For allmodels, steady-state BHL accretion solutions are attained that arecharacterized by the presence of a shock-cone and a stagnation pointdownstream. For the models of the sample with the largest component of scalarfield, the shock-cone envelops fully the black hole, transitioning into abow-shock, and the stagnation points move further away downstream. Analyticalexpressions for the mass accretion rates are obtained after fitting thenumerical results, which can be used to analyze black-hole formation scenariosin the presence of ultralight scalar fields. The formation of a shock-coneleads to regions where sound waves can be trapped and resonant oscillationsexcited. We measure the frequencies of such quasi-periodic oscillations andpoint out a possible association with quasi-periodic oscillations in the X-raylight curve of Sgr~A* and microquasars.

Bondi-Hoyle-Lyttleton accretion onto a rotating black hole with ultralight scalar hair