Resonant Dynamics and the Instability of Anti-de Sitter Spacetime

Physical Review Letters
Piotr BizońAndrzej Rostworowski

Abstract

We consider spherically symmetric Einstein-massless-scalar field equations with a negative cosmological constant in five dimensions and analyze the evolution of small perturbations of anti-de Sitter (AdS) 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 the instability of AdS under arbitrarily small perturbations.

References

Aug 16, 2011·Physical Review Letters·Piotr Bizoń, Andrzej Rostworowski
Aug 13, 2013·Physical Review Letters·Piotr Bizoń, Joanna Jałmużna
Aug 21, 2013·Physical Review Letters·Maciej Maliborski, Andrzej Rostworowski
Aug 30, 2014·Physical Review Letters·Venkat BalasubramanianSteven L Liebling
Aug 8, 2015·Physical Review Letters·Piotr Bizoń, Andrzej Rostworowski

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Citations

Dec 9, 2017·Physical Review Letters·Matthew W ChoptuikBenson Way
Aug 8, 2018·Physical Review Letters·Matthew W ChoptuikBenson Way

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