Sketch of the rotation profile described. Ω_core for r < R_core, Ω_env for r > R_core. Gravito-inertial modes are propagating between the lower and upper turning points (respectively r_a and r_b, and are evanescent in the region r ∈ [R_core; r_a]. Pure-inertial modes are trapped in the convective core r < R_core. The matching of the relevant quantities is done at the location r = R_core.