Charting the AdS Islands of Stability with Multi-oscillators?
High Energy Physics - Theory
2018-07-18 v1 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1803.02830,
title = {Charting the AdS Islands of Stability with Multi-oscillators?},
author = {Matthew Choptuik and Jorge E. Santos and Benson Way},
journal= {arXiv preprint arXiv:1803.02830},
year = {2018}
}