Attempts at vacuum counterexamples to cosmic censorship in AdS

Abstract

We consider vacuum solutions of four dimensional general relativity with $\Lambda <0$. We numerically construct stationary solutions that asymptotically approach a boundary metric with differential rotation. Smooth solutions only exist up to a critical rotation. We thus argue that increasing the differential rotation by a finite amount will cause the curvature to grow without bound. This holds for both zero and nonzero temperature, and both compact and noncompact boundaries. However, the boundary metric always develops an ergoregion before reaching the critical rotation, which probably means that the energy is unbounded from below for these counterexamples to cosmic censorship.

44 pages, 25 figures; v2: reference added; v3: title and abstract revised, argument added that the total energy is probably unbounded from below with our boundary conditions

References in corpus (8)

• Nonlinear Fluid Dynamics from Gravity
• Local Fluid Dynamical Entropy from Gravity
• The thermoelectric properties of inhomogeneous holographic lattices
• Testing the Weak Gravity -- Cosmic Censorship Connection
• Hovering Black Holes from Charged Defects
• Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant
• On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
• Stirring a black hole

Cited by in corpus (10)

• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Further evidence for the weak gravity -- cosmic censorship connection
• Distinguishing Brans-Dicke-Kerr type naked singularities and black holes with their thin disk electromagnetic radiation properties
• Holography Abhors Visible Trapped Surfaces
• Weak cosmic censorship with self-interacting scalar and bound on charge to mass ratio
• Weak cosmic censorship in Born-Infeld electrodynamics and bound on charge-to-mass ratio
• Instability of a magnetized QGP sourced by a scalar operator
• Deforming black holes with even multipolar differential rotation boundary
• Deforming black holes with odd multipolar differential rotation boundary
• Deforming charged black holes with dipolar differential rotation boundary