Examples of the impact of the DM core formation (from the initial dashed red lines to the final solid red lines) on the formation of a stellar core (the solid blue lines) evolving from an originally concentrated stellar distribution (the dashed blue lines). The vertical dotted lines indicate the radius of the formed cores in DM (red) and stars (blue). The initial stars are assumed to follow circular orbits. For details on the types of profiles represented in the different panels, see Sect. 2.1.2. Arbitrary global scale factors affect both densities and radii.