Cosmic Censorship and the Evolution of d-Dimensional Charged Evaporating Black Holes

Abstract

The cosmic censorship conjecture essentially states that naked singularities should not form from generic initial conditions. Since black hole parameters can change their values under Hawking evaporation, one has to ask whether it is possible to reach extremality by simply waiting for the black hole to evaporate. If so a slight perturbation would likely render the singularity naked. Fortunately, at least for the case of asymptotically flat 4-dimensional Reissner-Nordström black hole, Hiscock and Weems showed that it can never reach extremality despite the fact that for a sufficiently massive black hole, its charge-to-mass ratio can increase during Hawking evaporation. Hence cosmic censorship is never violated by Hawking emission. However, we know that under some processes, it is easier to violate cosmic censorship in higher dimensions, therefore it is crucial to generalize Hiscock and Weems model to dimensions above four to check cosmic censorship. We found that Hawking evaporation cannot lead to violation of cosmic censorship even in higher dimensional Reissner-Nordström spacetimes. Morerover, it seems to be more difficult to reach extremality as number of dimension increases.

7 pages, 3 figures; v3: fixed number of photon polarization; version accepted by PRD

References in corpus (7)

• Quasinormal modes and Strong Cosmic Censorship
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
• Is super-Planckian physics visible? -- Scattering of black holes in 5 dimensions
• Black hole evaporation in Lovelock gravity with diverse dimensions
• The high-energy collision of black holes in higher dimensions

Cited by in corpus (17)

• Spacetime Singularities and Cosmic Censorship Conjecture: A Review with Some Thoughts
• Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D⩾4$ dimensions
• Schwarzschild-type black holes in Starobinsky-Bel-Robinson gravity
• How general is the strong cosmic censorship bound for quasinormal modes?
• Notes on thermodynamics of Schwarzschild-like bumblebee black hole
• Thermodynamics and evaporation of perfect fluid dark matter black hole in phantom background
• Black Hole Evaporation in Hořava-Lifshitz Gravity
• The Black Hole Entropy Distance Conjecture and Black Hole Evaporation
• Quantization of a charged scalar field on a charged black hole background
• Einstein-Horndeski gravity and the ultra slowly evaporating black hole
• Planar Black Holes as a Route to Understanding the Weak Gravity Conjecture
• The Special Role of Toroidal Black Holes in Holography
• Immortality through the dark forces: Dark-charge primordial black holes as dark matter candidates
• Extremal Instability for Topological Black Holes
• Gauss-Bonnet modification to Hawking evaporation of AdS black holes in massive gravity
• Spherical accretion onto higher-dimensional Reissner-Nordström Black Hole
• Kiselev black hole and the ultra-slow evaporating behavior