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.

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

References in corpus (5)

• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Classical and quantum gravity of brane black holes
• Unstable `black branes' from scaled membranes at large $D$
• Holographic Signatures of Critical Collapse

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• 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 $D$