Summary of the effect of the DM halo expansion on the stellar distribution when the orbits are circular (β = −∞). Two parameters are used to characterize the result: the ratio between the stellar and DM cores (top panel) and the final inner slope of the resulting stellar profile (bottom panel). Both are represented against the initial inner slope of the stellar distribution. The inset next to the top panel describes the initial and final DM profiles, with a, b, c_DM referring to the parameters defining the ρ_abc profiles in Eq. (9). The solid black line labeled “Theory” in the bottom panel represents Eq. (11). The vertical dashed lines mark the initial c_DM and follows the same color code as the upper panel. For further details, see Sect. 2.1.2. The region shaded in gray represents the approximate location of an observed stellar core.