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2015

Resonant dynamics and the instability of anti-de Sitter spacetime

Bizoń, Piotr, Maliborski, Maciej, Rostworowski, Andrzej

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We consider spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant in five dimensions and analyze evolution of small perturbations of anti-de Sitter spacetime using the recently proposed resonant approximation.

We show that for typical initial data the solution of the resonant system develops an oscillatory singularity in finite time.
This result hints at a possible route to establishing instability of AdS under arbitrarily small perturbations.

Resonant dynamics and the instability of anti-de Sitter spacetime · Around

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Then

V. Balasubramanian, A. Buchel, S.R. Green, L. Lehner, S.L. Liebling, Phys. Rev. Lett. 113
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2014
Later among the works it cites.
B. Craps, O. Evnin, J. Vanhoof, JHEP 10
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2014
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B. Craps, O. Evnin, J. Vanhoof, JHEP 01
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2015
Closest in time.

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