Destroying MTZ black holes with test particles

摘要

Neglecting the self-force and radiative effects,we follow the spirit of Wald's gedanken experiment and discuss whether a (2+l)-dimensional Martinez-Teitelboim-Zanelli (MTZ) black hole can turn into a naked singularity by capturing 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 AE which allow the appearance of naked singularities from both extremal and near extremal MTZ black holes.