Destroying the Kerr–Newman–MOG black hole with charged scalar field

In this paper, we investigate the weak cosmic censorship conjecture (WCCC) for the Kerr Newman modified gravity black hole (KN–MOG–BH) by examining its interaction with charged scalar fields. Neglecting backreaction effects, we first show that the scalar test fields with frequencies just above the superradiance threshold can overspin/overcharge both extremal and nearly extremal KN–MOG–BHs, leading to the formation of naked singularities. Next, we incorporate backreaction effects, assuming that the event horizon’s angular velocity rises prior to the test field’s absorption. We show that backreaction prevents overspinning/overcharging in the extremal KN–MOG–BH, whereas in the nearly extremal case, it fails to stop the black hole from being overspun/overcharged.