Overcharging a nonsingular black hole in general relativity: the nonlinear electrodynamic field effects

TL;DR

This paper investigates how nonlinear electrodynamic effects influence the potential destruction of nonsingular ABG black holes by test particles and scalar fields, providing insights into black hole stability and the weak cosmic censorship conjecture.

Contribution

It demonstrates that nonlinear electrodynamic effects can enable the destruction of extremal and near-extremal ABG black holes, extending previous results on Reissner-Nordström black holes.

Findings

Both test charged particles and scalar fields can destroy the event horizon.

Parameter intervals for destruction are identical for extremal black holes.

Results support the weak cosmic censorship conjecture for nonsingular black holes.

Abstract

The Ay\'on-Beato Garc\'ia (ABG) solution describes a nonlinear electrodynamic nonsingular black hole in general relativity and can be regarded as a strong field correction to the Reissner-Nordstr\"om solution. We exam the possibility of destroying the ABG nonsingular black hole with a test charged particle and a complex scalar field. By comparing with the results of gadenken experiment to destroy the Reissner-Nordstr\"om black hole, we get the nonlinear electrodynamic field effects on the destruction of the event horizon. We obtain the parameter regions of the particle and scalar field, which allow us to destroy the event horizon of an extremal and near-extremal ABG black hole. Our findings show that both can be destroyed due to nonlinear electrodynamic effects. Interestingly, the parameter intervals for the charged particle and scalar field needed to destroy the event horizon of an extremal black hole are identical. Since the ABG black hole is nonsingular, our results remain consistent with the weak cosmic censorship conjecture and may offer a means to explore the interior of a black hole.