Weak cosmic censorship conjecture in Kerr black holes of modified gravity

TL;DR

This paper examines whether Kerr-MOG black holes can be overspun into naked singularities by particles, finding that while initial analysis suggests possible violations of cosmic censorship, considering adiabatic effects restores stability.

Contribution

It introduces a detailed analysis of particle absorption effects on Kerr-MOG black holes and demonstrates the stabilizing influence of adiabatic processes on cosmic censorship.

Findings

Existence of energy bounds allowing potential naked singularities

Adiabatic effects stabilize black holes, preventing censorship violation

Weak cosmic censorship conjecture can be restored with adiabatic considerations

Abstract

By neglecting the effects of self-force and radiation, we investigate the possibility of destroying the Kerr-MOG black hole through the point particle absorption process. Using the instability of event horizon and equation of particle motion, we get the upper and lower energy bounds allowed for a matter particle to produce the naked singularity. We find that the energy gap always exists between the upper and lower energy bounds for both extremal and near-extremal black holes, which means some tailored particles can actually lead to the violation of the weak cosmic censorship conjecture. However, when considering the effect of the adiabatic process, the result shows that the Kerr-MOG black hole gets more stable instead of a naked singularity, and thus the weak cosmic censorship conjecture can be restored at some level.