Noncommutativity and the Weak Cosmic Censorship

Abstract

We show that a noncommutative massless scalar probe can dress a naked singularity in $Ad{S}_3$ 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.

arXiv comment12 pages

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Cited by in corpus (8)

• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Constraints on singularity resolution by nonlinear electrodynamics
• Spacetime Singularities and Cosmic Censorship Conjecture: A Review with Some Thoughts
• Observables in Quantum Mechanics and the Importance of Self-adjointness
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• Schwarzschild spacetime immersed in test nonlinear electromagnetic fields
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry I: A QM/NCG Correspondence
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry II: Noncommutative Quantum Black Holes