Static charged Gauss-Bonnet black holes cannot be overcharged by the new version of gedanken experiments

TL;DR

This paper demonstrates that static charged Gauss-Bonnet black holes cannot be overcharged by matter infall under the new gedanken experiment framework, supporting the weak cosmic censorship conjecture in higher curvature gravity theories.

Contribution

It extends the analysis of the weak cosmic censorship conjecture to Gauss-Bonnet black holes using the new Sorce-Wald method, showing they cannot be overcharged under second-order perturbations.

Findings

Black holes cannot be overcharged under the new gedanken experiments.

The weak cosmic censorship conjecture holds in Einstein-Maxwell-Gauss-Bonnet gravity.

Higher curvature terms do not violate WCCC in the studied process.

Abstract

Based on the new version of the gedanken experiments proposed by Sorce and Wald, we examine the weak cosmic censorship conjecture (WCCC) under the spherically charged infalling matter collision process in the static charged Gauss-Bonnet black holes. After considering the null energy condition and assuming the stability condition, we derive the perturbation inequality of the matter source. As a result, we find that the static charged Gauss-Bonnet black holes cannot be overcharged under the second-order approximation of the perturbation when the null energy condition is taken into account, although they can be destroyed in the old version of gedanken experiments. Our result shows that the WCCC holds for the above collision process in the Einstein-Maxwell-Gauss-Bonnet gravity and indicates that WCCC may also be valid in the higher curvature gravitational theories.