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Weak cosmic censorship conjecture in higher-dimensional black holes with nonlinear electrodynamic sources

2020/09/30 by Zhen Li, Yunjiao Gao, Xiao-Kan Guo
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Black hole (networking) #COSMIC cancer database #Charged black hole #Classical mechanics #Collision #Conjecture #Cosmic censorship hypothesis #Cosmology and Gravitation Theories #Einstein #Energy condition #General relativity #Gravitation #Mathematical physics #Mathematics #Nonlinear system #Perturbation (astronomy) #Physics #Quantum electrodynamics #Quantum mechanics #Schwarzschild radius #Theoretical physics #gr-qc

paper · pdf · doi:10.1016/j.physletb.2021.136303

published as Phys. Lett. B, 817, 136303 (2021) · 7 pages

arxiv created 2020/10/12 · openalex publication_date 2021/04/21 · arxiv updated 2021/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The new version of the gedanken experiments proposed by Sorce and Wald are designed to test the validity of the weak cosmic censorship conjecture (WCCC) by overspinning or overcharging the Kerr-Newman black hole in Einstein-Maxwell gravity. Following their setup, in this paper, we investigate the WCCC in the higher-dimensional charged black hole with a nonlinear electrodynamics source. We derive the first and seconder order perturbation inequalities of the charged collision matter based on the Iyer-Wald formalism as well as the null energy conditions, and show that they share the similar form as that in Einstein-Maxwell gravity. As a result, we find that the static higher-dimensional nonlinear electrodynamics (HDNL) black holes cannot be overcharged after considering these two inequalities. Our result might indicate the validity of WCCC for more general HNDL and related systems.

Citations