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Charting the AdS Islands of Stability with Multi-oscillators?

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arxiv 1803.02830 v1 pith:77C2I3KI submitted 2018-03-07 hep-th gr-qc

Matthew Choptuik , Jorge E. Santos , Benson Way This is my paper · ORCID
classification hep-thgr-qc
keywords solutionsislandsstabilityappearapproacheschartingcollapseconstructing
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We propose the existence of an infinite-parameter family of solutions in AdS that oscillate on any number of non-commensurate frequencies. Some of these solutions appear stable when perturbed, and we suggest that they can be used to map out the AdS "islands of stability". By numerically constructing two-frequency solutions and exploring their parameter space, we find that both collapse and non-collapse are generic scenarios near AdS. Unlike other approaches, our results are valid on any timescale and do not rely on perturbation theory.

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  1. New islands of stability with double-trace deformations

    hep-th 2019-08 conditional novelty 8.0 of 10

    Neumann boundary conditions in anti-de Sitter space admit non-collapsing, multi-mode scalar solutions with arbitrarily small amplitude despite a fully resonant spectrum.

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