Weak Cosmic Censorship Conjecture Cannot be Violated in Gedanken Experiments

2024/08/18 by Peng-Yu Wu, Wu, Peng-Yu, H. Khodabakhshi +3 · 2 citations
Arts and Humanities · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #History of Science and Medicine

paper · pdf · doi:10.48550/arxiv.2408.09444

openalex publication_date 2024/08/18 · openalex created_date 2024/09/21 · openalex updated_date 2026/07/28

Abstract

We innovate a systematic investigation of the Weak Cosmic Censorship Conjecture (WCCC) using gedanken experiments involving black hole perturbations by test particles. We classify various WCCC violation scenarios proposed in recent decades, including Hubeny, mixed, and the latest Sorce-Wald (SW). We provide general formulae in each case, and resolve contradictions in numerous studies. Following SW type, our analysis reveals that WCCC depends on the sign choice of the parameter W≡ ((∂ S)/(∂ T))_{Qi; T=0} of the extremal black holes. W > 0 preserves WCCC and W < 0 would indicate potential violation. We show explicitly that W>0 for spherically-symmetric and static black holes, and for general case, we argue that it is protected by the black hole no-hair theorem. We also consider asymptotically-(A)dS black holes and argue that there can be no violation either.

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