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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R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052] [INSPIRE].
R. Gregory and R. Laflamme, The instability of charged black strings and p-branes, Nucl. Phys. B 428 (1994) 399 [hep-th/9404071] [INSPIRE].
L. Lehner and F. Pretorius, Black strings, low viscosity fluids, and violation of cosmic censorship, Phys. Rev. Lett. 105 (2010) 101102 [arXiv:1006.5960] [INSPIRE].
T. Hirayama and G. Kang, Stable black strings in anti-de Sitter space, Phys. Rev. D 64 (2001) 064010 [hep-th/0104213] [INSPIRE].
R. Gregory, Black string instabilities in anti-de Sitter space, Class. Quant. Grav. 17 (2000) L125 [hep-th/0004101] [INSPIRE].
R. Emparan, R. Luna, M. Martínez, R. Suzuki and K. Tanabe, Phases and stability of non-uniform black strings, JHEP 05 (2018) 104 [arXiv:1802.08191] [INSPIRE].
D. Marolf, M. Rangamani and T. Wiseman, Holographic thermal field theory on curved spacetimes, Class. Quant. Grav. 31 (2014) 063001 [arXiv:1312.0612] [INSPIRE].
G.T. Horowitz and T. Wiseman, General black holes in Kaluza-Klein theory, in Black holes in higher dimensions, G.T. Horowitz ed., (2012), pg. 69 [arXiv:1107.5563] [INSPIRE].
W. Bunting, Z. Fu and D. Marolf, A coarse-grained generalized second law for holographic conformal field theories, Class. Quant. Grav. 33 (2016) 055008 [arXiv:1509.00074] [INSPIRE].
D. Marolf and J.E. Santos, Phases of holographic Hawking radiation on spatially compact spacetimes, JHEP 10 (2019) 250 [arXiv:1906.07681] [INSPIRE].
R. Gregory, S.F. Ross and R. Zegers, Classical and quantum gravity of brane black holes, JHEP 09 (2008) 029 [arXiv:0802.2037] [INSPIRE].
S.W. Hawking and D.N. Page, Thermodynamics of black holes in anti-de Sitter space, Commun. Math. Phys. 87 (1983) 577 [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
R. Emparan, R. Suzuki and K. Tanabe, Evolution and end point of the black string instability: large D solution, Phys. Rev. Lett. 115 (2015) 091102 [arXiv:1506.06772] [INSPIRE].
R. Emparan, K. Izumi, R. Luna, R. Suzuki and K. Tanabe, Hydro-elastic complementarity in black branes at large D, JHEP 06 (2016) 117 [arXiv:1602.05752] [INSPIRE].
Y. Dandekar, S. Mazumdar, S. Minwalla and A. Saha, Unstable ‘black branes’ from scaled membranes at large D, JHEP 12 (2016) 140 [arXiv:1609.02912] [INSPIRE].
R. Emparan and C.P. Herzog, Large D limit of Einstein’s equations, Rev. Mod. Phys. 92 (2020) 045005 [arXiv:2003.11394] [INSPIRE].
P.M. Chesler and B. Way, Holographic signatures of critical collapse, Phys. Rev. Lett. 122 (2019) 231101 [arXiv:1902.07218] [INSPIRE].
T. Andrade, O.J.C. Dias, J.E. Santos and B. Way, in progress.
T. Andrade, R. Emparan, D. Licht and R. Luna, Cosmic censorship violation in black hole collisions in higher dimensions, JHEP 04 (2019) 121 [arXiv:1812.05017] [INSPIRE].
T. Andrade, R. Emparan, D. Licht and R. Luna, Black hole collisions, instabilities, and cosmic censorship violation at large D, JHEP 09 (2019) 099 [arXiv:1908.03424] [INSPIRE].
T. Andrade, R. Emparan, A. Jansen, D. Licht, R. Luna and R. Suzuki, Entropy production and entropic attractors in black hole fusion and fission, JHEP 08 (2020) 098 [arXiv:2005.14498] [INSPIRE].
D. Licht, R. Suzuki and B. Way, Large D effective theory of AdS black strings, to appear.
T. Andrade, R. Emparan and D. Licht, Rotating black holes and black bars at large D, JHEP 09 (2018) 107 [arXiv:1807.01131] [INSPIRE].
R. Emparan, Predictivity lost, predictivity regained: a Miltonian cosmic censorship conjecture, Int. J. Mod. Phys. D 29 (2020) 2043021 [arXiv:2005.07389] [INSPIRE].
T. Andrade, P. Figueras and U. Sperhake, Evidence for violations of weak cosmic censorship in black hole collisions in higher dimensions, arXiv:2011.03049 [INSPIRE].
S. Bhattacharyya et al., Currents and radiation from the large D black hole membrane, JHEP 05 (2017) 098 [arXiv:1611.09310] [INSPIRE].
P. Figueras, M. Kunesch, L. Lehner and S. Tunyasuvunakool, End point of the ultraspinning instability and violation of cosmic censorship, Phys. Rev. Lett. 118 (2017) 151103 [arXiv:1702.01755] [INSPIRE].
V. Cardoso and O.J.C. Dias, Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings, Phys. Rev. Lett. 96 (2006) 181601 [hep-th/0602017] [INSPIRE].
J. Eggers, Theory of drop formation, Phys. Fluids 7 (1995) 941.
M.W. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field, Phys. Rev. Lett. 70 (1993) 9 [INSPIRE].
C. Gundlach, Understanding critical collapse of a scalar field, Phys. Rev. D 55 (1997) 695 [gr-qc/9604019] [INSPIRE].
A. Ishibashi and H. Kodama, Stability of higher dimensional Schwarzschild black holes, Prog. Theor. Phys. 110 (2003) 901 [hep-th/0305185] [INSPIRE].
H. Kodama and A. Ishibashi, A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions, Prog. Theor. Phys. 110 (2003) 701 [hep-th/0305147] [INSPIRE].
A. Ishibashi and R.M. Wald, Dynamics in nonglobally hyperbolic static space-times. 3. Anti-de Sitter space-time, Class. Quant. Grav. 21 (2004) 2981 [hep-th/0402184] [INSPIRE].
M. Hanada and P. Romatschke, Real time quantum gravity dynamics from classical statistical Yang-Mills simulations, JHEP 01 (2019) 201 [arXiv:1808.08959] [INSPIRE].
J.J. Friess, S.S. Gubser, G. Michalogiorgakis and S.S. Pufu, Expanding plasmas and quasinormal modes of anti-de Sitter black holes, JHEP 04 (2007) 080 [hep-th/0611005] [INSPIRE].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE].
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Emparan, R., Licht, D., Suzuki, R. et al. Black tsunamis and naked singularities in AdS. J. High Energ. Phys. 2022, 90 (2022). https://doi.org/10.1007/JHEP02(2022)090
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DOI: https://doi.org/10.1007/JHEP02(2022)090