Higher-dimensional charged black holes cannot be over-charged by gedanken experiments

TL;DR

This paper demonstrates that higher-dimensional nearly extremal charged black holes cannot be over-charged when second-order corrections are considered, supporting the cosmic censorship conjecture.

Contribution

It shows that including second-order corrections in gedanken experiments restores cosmic censorship for higher-dimensional charged black holes.

Findings

Over-charging is prevented by second-order effects.

First-order perturbations alone suggest violation.

Cosmic censorship is upheld with the new analysis.

Abstract

We reconsider over-charging the higher-dimensional nearly extremal charged black holes using the new version of gedanken experiment proposed recently by Sorce and Wald. As a result, we find that cosmic censorship conjecture associated with such black holes is restored by taking into account the second-order correction, albeit violated by the first-order perturbation. Namely, the higher-dimensional nearly extremal charged black holes cannot be over-charged.