Weak Cosmic Censorship in Kerr-Newman-MOG Black Hole with Adiabatic Effects

We investigate the possibility of destroying the Kerr-Newman-MOG black hole through the adiabatic absorption of a charged test particle. Unlike instantaneous absorption, the adiabatic process accounts for the finite time required for the particle’s energy, charge, and angular momentum to spread across the event horizon. Within this physically realistic framework, we analyze the evolution of the black hole parameters and test the validity of the weak cosmic censorship conjecture (WCCC) in modified gravity (MOG). By extending earlier studies restricted to the uncharged Kerr-MOG black hole [1], we demonstrate that the inclusion of electric charge introduces additional stabilizing effects that modify the extremality condition and horizon structure. Our results show that the extremality parameter increases monotonically, the horizon radius expands, and the MOG coupling parameter decreases during the absorption process, driving the black hole away from extremality. These effects are more pronounced for the charged Kerr-Newman-MOG black hole, indicating that electric charge enhances horizon stability. Consequently, no naked singularities form, and the WCCC remains preserved for both extremal and non-extremal Kerr-Newman-MOG black holes.