Steady-state distributions of the sBHs (blue lines) and the stars (yellow lines), as given by Equations (15) and (19). We consider an SMBH with M _BH = 4 × 10⁶ M _⊙ and sBH number fractions f _• = 10⁻³ (solid lines) and f _• = 10⁻⁴ (dashed lines), as defined in Equation (11). We plot n(r) × r ^3/2, which corresponds to the commonly used phase-space density, f(E). The star distribution extends from R _h to the tidal radius, R _t (Equation (18)), while the sBHs can reach R _ISCO = 3R _s .