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Charting Islands of Stability with Multioscillators in anti-de Sitter space
Matthew W Choptuik1, Jorge E Santos2, Benson Way1
1Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia V6T 1W9, Canada.
Abstract:
We propose the existence of an infinite-parameter family of solutions in anti-de Sitter (AdS) that oscillate on any number of noncommensurate 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 noncollapse 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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