Noncommutativity and the Weak Cosmic Censorship

TL;DR

This paper demonstrates that noncommutative scalar probes can cloak naked singularities in AdS3, resulting in black hole geometries consistent with thermodynamics and quantum completeness, with implications for early universe cosmology.

Contribution

It introduces a noncommutative duality approach to dress naked singularities as black holes, preserving physical laws and quantum completeness.

Findings

Naked singularities can be dressed as rotating BTZ black holes.

The dressed solutions satisfy black hole thermodynamics.

The spacetime remains quantum mechanically complete.

Abstract

We show that a noncommutative massless scalar probe can dress a naked singularity in $AdS_3$ spacetime, consistent with the weak cosmic censorship. The dressing occurs at high energies, which is typical at the Planck scale. Using a noncommutative duality, we show that the dressed singularity has the geometry of a rotating BTZ black hole which satisfies all the laws of black hole thermodynamics. We calculate the entropy and the quasi-normal modes of the dressed singularity and show that the corresponding spacetime can be quantum mechanically complete. The noncommutative duality also gives rise to a light scalar, which can be relevant for early universe cosmology.