Gravitational systems in asymptotically anti-de Sitter space-times
arXiv:1707.00952
Abstract
Being a key ingredient of the AdS/CFT correspondence, AdS space-time is suspected to be non-linearly unstable since 2011. Even with arbitrarily small initial data, a singularity almost invariably emerges. However, some configurations allow for perfectly regular and quasi-periodic solutions. These are the so-called islands of stability. Among them, geons play the role of purely gravitational excitations of AdS space-time. In this manuscript, we tackle the problem of the numerical construction of several families of asymptotically AdS geons. We are able to definitely demonstrate the existence of the so-called excited geons, a point that was the subject to a lively debate in the literature. We also detail how several features of such space-times can be used as precision monitors and help us to validate numerics. Finally, we discuss in detail how geons shed new light on the AdS instability problem.
arXiv comment340 pages, PhD thesis
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