Under the test-particle approximation, an extremal quantum-corrected BTZ black hole can have its horizon destroyed by a particle with large angular momentum, giving a potential counterexample to weak cosmic censorship.
Quantum inequalities for quantum black holes
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abstract
We formulate spacetime inequalities applicable to quantum-corrected black holes to all orders of backreaction in semiclassical gravity. Namely, we propose refined versions of the quantum Penrose and reverse isoperimetric inequalities, valid for all known three-dimensional asymptotically anti-de Sitter quantum black holes. Previous proposals of the quantum Penrose inequality apply in higher dimensions but fail when applied in three dimensions beyond the perturbative regime. Our quantum Penrose inequality, valid in three dimensions, holds at all orders of backreaction. This suggests cosmic censorship must exist in non-perturbative semiclassical gravity. Our quantum reverse isoperimetric inequality implies a maximum entropy state for quantum black holes at fixed volume.
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Violating Weak Cosmic Censorship in AdS$_3$ via Gedanken Experiment
Under the test-particle approximation, an extremal quantum-corrected BTZ black hole can have its horizon destroyed by a particle with large angular momentum, giving a potential counterexample to weak cosmic censorship.