Destroying the Kerr Newman MOG Black hole with Scalar Test Field

Abstract: We test the weak cosmic censorship conjecture (WCCC) for the Kerr-Newman-modified gravity black hole (KN-MOG-BH) by interacting scalar test fields with the KN-MOG-BH. Neglecting backreaction effects, we first show that the scalar test fields with frequencies just above the superradiance threshold can overspin both extremal and nearly extremal KN-MOG-BHs, leading to the formation of naked singularities. Moreover, test fields can continuously push nearly extremal KN-MOG-BHs toward their extremal limit. 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 in the extremal KN-MOG-BH, whereas in the nearly extremal case, it fails to stop the BH from being overspun.