# Cosmic Censorship for AdS$_5$-Kerr

## TL;DR

This paper explores the complex nature of cosmic censorship in five-dimensional AdS-Kerr black holes, revealing that it permits unusual behaviors like arbitrarily large angular momenta, but stability and holographic bounds can restrict these cases.

## Contribution

It provides a detailed analysis of cosmic censorship in 5D AdS-Kerr black holes and proposes stability and holographic bounds to eliminate problematic geometries.

## Key findings

- Cosmic censorship is less restrictive in 5D AdS-Kerr black holes.
- Some geometries with large angular momentum are allowed by censorship.
- Stability considerations and holographic bounds can exclude problematic cases.

## 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.