Phys. Rev. D, 111, 104036 (2025)
Weak Cosmic Censorship Conjecture in Gedanken Experiments at All Orders
Kai-Peng Lu1, Peng-Yu Wu1 and Hong Lu1,2
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.
* kaipenglu@tju.edu.cn, wupy2023@tju.edu.cn, mrhonglu@gmail.com
Abstract
We present a systematic analysis of the weak cosmic censorship conjecture (WCCC) through gedanken experiments involving black hole perturbations induced by test particles. Our approach allows for the calculation of perturbations to any order for a general class of black holes that admit the zero-temperature extremal limit. We find that the WCCC for extremal and near-extremal black holes is hinged upon the positive sign of only one quantity, namely 𝑊=(∂𝑆/∂𝑇)𝑄𝛼;𝑇=0, which is indeed positive for all the well-known black holes.
