• Open Access

Charting Islands of Stability with Multioscillators in anti–de Sitter space

Matthew W. Choptuik, Jorge E. Santos, and Benson Way
Phys. Rev. Lett. 121, 021103 – Published 11 July 2018

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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  • Received 28 March 2018
  • Revised 23 May 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.021103

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Matthew W. Choptuik1,*, Jorge E. Santos2,†, and Benson Way1,‡

  • 1Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia V6T 1W9, Canada
  • 2Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

  • *choptuik@physics.ubc.ca
  • jss55@cam.ac.uk
  • benson@phas.ubc.ca

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Issue

Vol. 121, Iss. 2 — 13 July 2018

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