Testing the weak cosmic censorship conjecture via test particle induced overcharging/overspinning of Kerr Newman modified gravity black hole

TL;DR

This paper examines whether the weak cosmic censorship conjecture can be violated by test particles in Kerr-Newman black holes within modified gravity, revealing that the inclusion of the MOG parameter broadens the conditions for potential violations.

Contribution

It demonstrates that the weak cosmic censorship conjecture can be violated in Kerr-Newman modified gravity black holes when considering test particles, especially with the MOG parameter's influence.

Findings

WCCC can be violated in extremal and non-extremal KN MOG black holes.

The MOG parameter {} significantly enlarges the parameter space for potential WCCC violations.

Violation depends on the particle's charge, angular momentum, and energy, with precise adjustments.

Abstract

We investigate the weak cosmic censorship conjecture (WCCC) violation through the absorption of a charged, rotating test particle by Kerr Newman spacetime in modified gravity (KN MOG). The result is sensitive to multiple factors, including the sign of the particle's charge relative to that of the black hole, as well as the direction of rotation of the particle and the black hole. Additionally, the combined effect of the MOG parameter, the black hole's charge and angular momentum plays a significant role. Taking all these into account, we have determined the range of the particle's charge, angular momentum and energy of the particle for which the event horizon disappears. Our analysis shows that the WCCC can be violated in both extremal and non extremal KN MOG black hole, provided the particle's parameters are small and precisely adjusted. Crucially, prior work by [1] discussed the WCCC in KN spacetime without considering the modified gravity parameter {\alpha}. In contrast, our study shows that incorporating {\alpha} significantly enlarges the range of permissible parameters for the test particle, leading to the violation of the WCCC in both extremal and non extremal KN MOG black holes.