Cosmic Censorship for AdS${}_5$-Kerr

Abstract

We show that cosmic censorship takes an exceptionally complex and interesting form in the case of five-dimensional AdS-Kerr black holes, due to the unusually distant relation obtaining in that case between the black hole parameters and the physical mass and angular momentum. One finds that, in this case, censorship is less restrictive than one might hope: it apparently allows some rather bizarre behaviour, and in particular does not prohibit arbitrarily large angular momenta. We find however that most of the unwelcome geometries permitted by censorship can be eliminated by requiring stability against pair-production of branes. We suggest that the small set of surviving problematic cases can be eliminated in a natural way by imposing a certain (holographic) bound on the physical mass.

15 pages

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• Null Hypersurface Caustics, Closed Null Curves, and Super-Entropy
• The Interior Volume of Kerr-AdS Black Holes
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Holographic Dual of The Weak Gravity Conjecture
• Event Horizon Wrinklification
• Characterising the Most Rapidly Rotating AdS${}_5$-Kerr Black Holes