Maximum central density n_c,f attainable for a given evolutionary track compared to the initial n_c,i, both plotted as functions of the gravitational mass of the initial non-rotating configuration, M_i. Upper panel: spin-up scenario. The reference line n_c,i is the static sequence. Lower panel: spin-down scenario. The reference n_c,i line is the mass-shedding limit, to be compared with n_c,f of static configurations (DH EOS).