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.
Highlights
The weak cosmic censorship conjecture (WCCC) is one of the most important open questions in classical gravitational theory
In 1974, Wald suggested a gedanken experiment and proved that the extremal Kerr-Newman black hole cannot be destroyed via dropping a test particle [2]
After the null energy condition of the collision matter fields is taken into account, they derived a second-order perturbation inequality on the second-order correction of black hole mass δ 2M
Summary
The weak cosmic censorship conjecture (WCCC) is one of the most important open questions in classical gravitational theory. After the null energy condition of the collision matter fields is taken into account, they derived a second-order perturbation inequality on the second-order correction of black hole mass δ 2M As a result, they showed that the nearly extremal Kerr-Newman black hole cannot be destroyed under the second-order approximation after considering this new inequality. In [31], the authors investigated the old version of the gedanken experiments in the charged static Gauss-Bonnet black holes and found that the near extremal case can be overcharged They neglected the self-force, finite size, and backreaction effects in their discussion.
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