Figure 12: Effect on the nuclear density profile of SBH ejection. The initial galaxy model (black line) has a density cusp. (a) Impulsive removal of the SBH. Tick marks show the radius of the black hole’s sphere of influence before ejection. A core forms with radius . (b) Ejection at velocities less than escape velocity. The black hole has mass 0.3% that of the galaxy; the galaxy is initially spherical and the black hole’s orbit remains nearly radial as it decays via dynamical friction. The arrow in this panel marks in the initial galaxy. [140].