New version of the gedanken experiments to test the weak cosmic censorship in charged dilaton-Lifshitz black holes

Abstract

In this paper, based on the new version of the gedanken experiments proposed by Sorce and Wald, we examine the weak cosmic censorship in the perturbation process of accreting matter fields for the charged dilaton-Lifshitz black holes. In the investigation, we assume that the black hole is perturbed by some extra matter source satisfied the null energy condition and ultimately settle down to a static charged dilaton-Lifshitz black hole in the asymptotic future. Then, after applying the Noether charge method, we derive the first-order and second-order perturbation inequalities of the perturbation matter fields. As a result, we find that the nearly extremal charged dilaton-Lifshitz black hole cannot be destroyed under the second-order approximation of perturbation. This result implies that the weak cosmic censorship conjecture might be a general feature of the Einstein gravity, and it is independent of the asymptotic behaviors of the black holes.

7 pages, 1 figures, and this paper has been accepted by EPJC

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• Weak cosmic censorship conjecture in higher-dimensional black holes with nonlinear electrodynamic sources
• Testing the weak cosmic censorship conjecture for extremal magnetized Kerr-Newman black holes
• The topological RN-AdS black holes cannot be overcharged by the new version of gedanken experiment
• Overcharging a nonsingular black hole in general relativity: the nonlinear electrodynamic field effects
• The First Law and Weak Cosmic Censorship for de Sitter Black Holes