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Similar

O. J. Dias, G. T. Horowitz, D. Marolf, and J. E. Santos, “On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions,” Class.Quant.Grav. 29
Original
2012
Cited alongside, same era.
M. Maliborski, “Instability of Flat Space Enclosed in a Cavity,” Phys.Rev.Lett. 109
Original
2012
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A. Buchel, L. Lehner, and S. L. Liebling, “Scalar Collapse in AdS,” Phys.Rev. D86
Original
2012
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O. J. Dias, G. T. Horowitz, and J. E. Santos, “Gravitational Turbulent Instability of Anti-de Sitter Space,” Class.Quant.Grav. 29
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2012
Cited alongside, same era.
S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, and I. Bloch, “Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas,” Nature Physics 8

Then

A. Buchel, S. L. Liebling, and L. Lehner, “Boson stars in AdS spacetime,” Phys.Rev. D87
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Later among the works it cites.
M. Maliborski and A. Rostworowski, “Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime,” Int.J.Mod.Phys. A28
Original
2013
Later among the works it cites.
M. Maliborski and A. Rostworowski, “Time-Periodic Solutions in an Einstein AdS–Massless-Scalar-Field System,” Phys.Rev.Lett. 111
Original
2013
Later among the works it cites.
M. A. Amin, E. A. Lim, and I. Yang, “A scattering theory of ultrarelativistic solitons,” Phys.Rev. D88
Original
2013
Later among the works it cites.
M. A. Amin, E. A. Lim, and I.-S. Yang, “A Clash of Kinks: Phase shifts in colliding non-integrable solitons,” Phys.Rev.Lett. 111

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2014

Position space analysis of the AdS (in)stability problem

Dimitrakopoulos, Fotios V., Freivogel, Ben, Lippert, Matthew et al.

Understand

We investigate whether arbitrarily small perturbations in global AdS space are generically unstable and collapse into black holes on the time scale set by gravitational interactions.

We argue that current evidence, combined with our analysis, strongly suggests that a set of nonzero measure in the space of initial conditions does not collapse on this time scale.
We perform an analysis in position space to study this puzzle, and our formalism allows us to directly study the vanishing-amplitude limit.
We show that gravitational self-interaction leads to tidal deformations which are equally likely to focus or defocus energy, and we sketch the phase diagram accordingly.