Violating Weak Cosmic Censorship in AdS$_3$ via Gedanken Experiment

TL;DR

This paper presents a potential counterexample to the weak cosmic censorship conjecture in AdS$_3$ spacetime by showing that test particles can destroy the event horizon of an extremal black hole under certain conditions.

Contribution

It extends the parameter range of quantum corrected BTZ black holes and demonstrates horizon destruction via test particles with high angular momentum, challenging the robustness of wCCC.

Findings

Event horizon can be destroyed by infalling particles with large angular momentum.

Neglecting self-force effects allows violation of wCCC.

Results suggest the need to consider self-force effects or exclude such solutions from wCCC applicability.

Abstract

The weak cosmic censorship conjecture (wCCC) might not be as robust as one would expect. We present a potential counterexample to the wCCC in a rotating three-dimensional anti-de Sitter (AdS$_3$) spacetime. We extend the parameter range of the quantum corrected BTZ (qBTZ) black hole. We examine the infall of test particles with large orbital angular momentum into an extremal black hole. Our findings indicate that, under certain conditions -- such as neglecting the self-force effects -- the event horizon can be destroyed, leading to a violation of the wCCC. The results suggest that this solution should either be excluded from the applicability of the wCCC or should be examined with self-force effects incorporated.