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arXiv · 1912.05217

Weak cosmic censorship conjecture in Einstein-Born-Infeld black holes

Yan-Li He·Jie Jiang
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Abstract

Recently, Sorce and Wald have suggested a new version of the gedanken experiments to overspin or overcharge the Kerr-Newman black holes in Einstein-Maxwell gravity. Following their setup, in this paper, we investigate the weak cosmic censorship conjecture (WCCC) in the static Einstein-Born-Infeld black holes for the Einstein gravity coupled to nonlinear electrodynamics. First of all, we derive the first two order perturbation inequalities of the charged collision matter in the Einstein-Born-Infeld gravity based on the Iyer-Wald formalism as well as the null energy conditions of the matter fields and show that they share the same form as these in Einstein-Maxwell gravity. As a result, we find that the static Einstein-Born-Infeld black holes cannot be overcharged under the second-order approximation after considering these inequalities. Our result at some level hints at the validity of the weak cosmic censorship conjecture for string theory.

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Yan-Li He, Jie Jiang. 2019-12-11. Weak cosmic censorship conjecture in Einstein-Born-Infeld black holes. https://doi.org/10.1103/physrevd.100.124060

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