Mass accretion rate (Ṁ), magnetic flux (ϕ), and normalized magnetic flux $(\mathrm{\Psi }=\varphi /\sqrt{\dot{M}})$ expressed in code units for black holes with different spacetime metrics. The properties of each spacetime are summarized in Table 1. The time window after the vertical dotted line (13 500 ≤ t/t_g ≤ 17 000) shows the quasi-stable period used to investigate the accretion flow properties and to conduct GRRT simulations.