Phys.Rev.D, 110, 104019 (2024)

Weak cosmic censorship conjecture cannot be violated in gedanken experiments

Peng-Yu Wu¹, H. Khodabakhshi¹ and Hong Lü^1,2

1 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.

2 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.

* h_khodabakhshi@tju.edu.cn

Abstract

We innovate a systematic investigation of the Weak Cosmic Censorship Conjecture (WCCC) using gedanken experiments involving black hole perturbations by test parti cles. 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.