A stochasticity threshold in holography and the instability of AdS

Basu, Prabir; Krishnan, Chethan; Saurabh, Ayush

doi:10.1142/s0217751x15501286

Cited by 36 publications

(89 citation statements)

References 17 publications

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“…6 for massless Neumann and massive Dirichlet fields, respectively. In all cases, the peaks of the Fourier transform correspond to the eigenfrequencies (14) and (15), and in the case of massive fields the field is suppressed when ω < µ, as expected.…”

Section: Direct-and Inverse-cascade Effectssupporting

confidence: 79%

Study of the nonlinear instability of confined geometries

2014

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The discovery of a "weakly-turbulent" instability of anti-de Sitter spacetime supports the idea that confined fluctuations eventually collapse to black holes and suggests that similar phenomena might be possible in asymptotically-flat spacetime, for example in the context of spherically symmetric oscillations of stars or nonradial pulsations of ultracompact objects. Here we present a detailed study of the evolution of the Einstein-Klein-Gordon system in a cavity, with different types of deformations of the spectrum, including a mass term for the scalar and Neumann conditions at the boundary. We provide numerical evidence that gravitational collapse always occurs, at least for amplitudes that are three orders of magnitude smaller than Choptuik's critical value and corresponding to more than 10 5 reflections before collapse. The collapse time scales as the inverse square of the initial amplitude in the small-amplitude limit. In addition, we find that fields with nonresonant spectrum collapse earlier than in the fully-resonant case, a result that is at odds with the current understanding of the process. Energy is transferred through a direct cascade to high frequencies when the spectrum is resonant, but we observe both direct-and inverse-cascade effects for nonresonant spectra. Our results indicate that a fully-resonant spectrum might not be a crucial ingredient of the conjectured turbulent instability and that other mechanisms might be relevant. We discuss how a definitive answer to this problem is essentially impossible within the present framework.

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Section: Direct-and Inverse-cascade Effectssupporting

confidence: 79%

Study of the nonlinear instability of confined geometries

2014

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“…We find The two conserved quantities (2), (3) (as in [33]) and the coincidence of the only resonant channel, i + j = k + l, relate closely the GPE formalism to the AdS setup [48,49], and imply the coexistence of direct and inverse energy cascades.…”

Section: Formalismmentioning

confidence: 61%

Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity

Biasi¹,

Mas²,

Paredes³

2017

Phys. Rev. E

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We numerically investigate spherically symmetric collapses in the Gross-Pitaevskii equation with attractive nonlinearity in a harmonic potential. Even below threshold for direct collapse, the wave function bounces off from the origin and may eventually become singular after a number of oscillations in the trapping potential. This is reminiscent of the evolution of Einstein gravity sourced by a scalar field in Anti-de Sitter space where collapse corresponds to black hole formation. We carefully examine the long time evolution of the wave function for continuous families of initial states in order to sharpen out this qualitative coincidence which may bring new insights in both directions. On one hand, we comment on possible implications for the so-called Bosenova collapses in cold atom Bose-Einstein condensates. On the other hand, Gross-Pitaevskii provides a toy model to study the relevance of either the resonance conditions or the nonlinearity for the problem of Anti-de Sitter instability.

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“…gravity in AdS [20][21][22][23][24][25][26], which should be understood in the context of thermalization in the gauge theory. It will be interesting to try and fit these two perspectives into a coherent whole.…”

Section: Jhep06(2016)139mentioning

confidence: 99%

Phases of global AdS black holes

Basu

Krishnan

Subramanian

2016

J. High Energ. Phys.

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Abstract:We study the phases of gravity coupled to a charged scalar and gauge field in an asymptotically Anti-de Sitter spacetime (AdS 4 ) in the grand canonical ensemble. For the conformally coupled scalar, an intricate phase diagram is charted out between the four relevant solutions: global AdS, boson star, Reissner-Nordstrom black hole and the hairy black hole. The nature of the phase diagram undergoes qualitative changes as the charge of the scalar is changed, which we discuss. We also discuss the new features that arise in the extremal limit.

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A stochasticity threshold in holography and the instability of AdS

Cited by 36 publications

References 17 publications

Study of the nonlinear instability of confined geometries

Study of the nonlinear instability of confined geometries

Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity

Phases of global AdS black holes

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