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Black tsunamis and naked singularities in AdS

Emparan, Roberto, Licht, David, Suzuki, Ryotaku, Tomašević, Marija, Way, Benson·2022·Journal of High Energy Physics
DOI 10.1007/jhep02(2022)090
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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.

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Figure 1 Representatives of three scenarios for the evolution of unstable black strings in AdS. The two competing effects, shown in the left diagram, are the pinching near the center (red arrows) and the inflow of generators from the boundary, dubbed black tsunami (green arrows). In the first scenario (top), the tsunami dominates and the system is directly driven to a fat black funnel. In other scenarios, the horizon pinches, leading to a naked singularity that splits the horizon into twin black droplets without triggering a tsunami (middle); or the pinch forms, but is later covered by a black tsunami, ending again at a fat funnel (bottom). Other possible final configurations that are not shown include metastable non-uniform strings, or central black holes between droplets.
Figure 1 Representatives of three scenarios for the evolution of unstable black strings in AdS. The two competing effects, shown in the left diagram, are the pinching near the center (red arrows) and the inflow of generators from the boundary, dubbed black tsunami (green arrows). In the first scenario (top), the tsunami dominates and the system is directly driven to a fat black funnel. In other scenarios, the horizon pinches, leading to a naked singularity that splits the horizon into twin black droplets without triggering a tsunami (middle); or the pinch forms, but is later covered by a black tsunami, ending again at a fat funnel (bottom). Other possible final configurations that are not shown include metastable non-uniform strings, or central black holes between droplets.CC-BY · From the PDF
Figure 2 Scenario 1. Left: Indefinite growth of a tsunami, with each higher curve a time t ∼ 3 . 33 later than the previous one. Right: Same as left, but with mass function rescaled by its value at x = 0, showing approach to the gaussian blob (dashed line). This is interpreted as evolution to a very fat funnel.
Figure 2 Scenario 1. Left: Indefinite growth of a tsunami, with each higher curve a time t ∼ 3 . 33 later than the previous one. Right: Same as left, but with mass function rescaled by its value at x = 0, showing approach to the gaussian blob (dashed line). This is interpreted as evolution to a very fat funnel.CC-BY · From the PDF
Figure 3 Scenario 2. Left: Pinch to a final static configuration with a finite ditch, corresponding to a twin black droplet. The difference with the evolution in Fig. 2 is the sign of the initial perturbation, which here pushes downwards. Right: Formation of a small central transient black hole, which very slowly decreases in size. The initial string is thinner than in the previous case, and therefore contains more unstable modes.
Figure 3 Scenario 2. Left: Pinch to a final static configuration with a finite ditch, corresponding to a twin black droplet. The difference with the evolution in Fig. 2 is the sign of the initial perturbation, which here pushes downwards. Right: Formation of a small central transient black hole, which very slowly decreases in size. The initial string is thinner than in the previous case, and therefore contains more unstable modes.CC-BY · From the PDF
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CC-BY · From the PDF

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Research works printed but not linked: 36

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Metadata

Authors
Emparan, R., Licht, D., Suzuki, R., Tomašević, M., & Way, B.
ORCID
Emparan, Roberto
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2022-02
Volume
2022
Issue
2
ISSN
1029-8479
DOI
10.1007/jhep02(2022)090
Cited by
20
References
0
Language
en
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