Black Tsunamis and Naked Singularities in AdS

Abstract

We study the evolution of the Gregory-Laflamme instability for black strings in global AdS spacetime, and investigate the CFT dual of the formation of a bulk naked singularity. Using an effective theory in the large D limit, we uncover a rich variety of dynamical behaviour, depending on the thickness of the string and on initial perturbations. These include: large inflows of horizon generators from the asymptotic boundary (a `black tsunami'); a pinch-off of the horizon that likely reveals a naked singularity; and competition between these two behaviours, such as a nakedly singular pinch-off that subsequently gets covered by a black tsunami. The holographic dual describes different patterns of heat flow due to the Hawking radiation of two black holes placed at the antipodes of a spherical universe. We also present a model that describes, in any D, the burst in the holographic stress-energy tensor when the signal from a bulk self-similar naked singularity reaches the boundary. The model shows that the shear components of the boundary stress diverge in finite time, while the energy density and pressures from the burst vanish.

arXiv comment30 pages, 7 figures. v2: minor typos fixed. Matches published version

References in corpus (31)

• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Black Strings and p-Branes are Unstable
• A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
• The Instability of Charged Black Strings and p-Branes
• Stability of Higher-Dimensional Schwarzschild Black Holes
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Black string instabilities in anti-de Sitter space
• Theory of Drop Formation
• Understanding critical collapse of a scalar field
• Expanding plasmas and quasinormal modes of anti-de Sitter black holes
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Evolution and endpoint of the black string instability: Large D solution
• End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
• Stable Black Strings in Anti-de Sitter Space
• Hydro-elastic Complementarity in Black Branes at large D
• The Large D Limit of Einstein's Equations
• Currents and Radiation from the large $D$ Black Hole Membrane
• Classical and quantum gravity of brane black holes
• Phases and Stability of Non-Uniform Black Strings
• Black hole collisions, instabilities, and cosmic censorship violation at large D
• Holographic thermal field theory on curved spacetimes
• Unstable `black branes' from scaled membranes at large $D$
• Rotating black holes and black bars at large D
• Cosmic censorship violation in black hole collisions in higher dimensions
• Predictivity lost, predictivity regained: a Miltonian cosmic censorship conjecture
• Entropy production and entropic attractors in black hole fusion and fission
• Phases of Holographic Hawking Radiation on spatially compact spacetimes
• A coarse-grained generalized second law for holographic conformal field theories
• Holographic Signatures of Critical Collapse
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations

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• Why is Black Hole Entropy Affected by Rotation?
• The large D effective theory of black strings in AdS
• Planar Black Holes as a Route to Understanding the Weak Gravity Conjecture
• Unveiling horizons in quantum critical collapse
• Self-Similar Gravitational Dynamics, Singularities and Criticality in 2D
• The Special Role of Toroidal Black Holes in Holography
• Quantum Critical Collapse Abhors a Naked Singularity
• Lattice Black Branes at Large $D$