Neglecting the self-force and radiative effects, we follow the spirit of Wald＇s gedanken experiment and discuss whether a （2＋1）-dimensional Martinez-Teitelboim-Zanelli （MTZ） black hole can turn into a naked sing...Neglecting the self-force and radiative effects, we follow the spirit of Wald＇s gedanken experiment and discuss whether a （2＋1）-dimensional Martinez-Teitelboim-Zanelli （MTZ） black hole can turn into a naked singularity by cap- turing a charged and massive particle. We find that after capturing a charged and massive test particle, an extremal or near-extremal MTZ black hole could turn into naked singularity, leading to a possible violation of the cosmic censorship. There exist ranges of the test particles＇ energies ＆E which allow the appearance of naked singularities from both extremal and near extremal MTZ black holes.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11275099,11435006,and 11405130)the Double First-Class University Construction Project of Northwest University
文摘Neglecting the self-force and radiative effects, we follow the spirit of Wald＇s gedanken experiment and discuss whether a （2＋1）-dimensional Martinez-Teitelboim-Zanelli （MTZ） black hole can turn into a naked singularity by cap- turing a charged and massive particle. We find that after capturing a charged and massive test particle, an extremal or near-extremal MTZ black hole could turn into naked singularity, leading to a possible violation of the cosmic censorship. There exist ranges of the test particles＇ energies ＆E which allow the appearance of naked singularities from both extremal and near extremal MTZ black holes.
