Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2839
Title: Necessary conditions for an AdS-type instability
Authors: MENON, DHANYA S.
VARDARAJAN, SUNEETA
Dept. of Physics
Keywords: Necessary conditions
AdS-type instability
Gravity-scalar field system
Quasiperiodic behavior
2016
Issue Date: Jan-2016
Publisher: American Physical Society
Citation: Physical Review D, 93 (2).
Abstract: In this work, we analyze the necessary conditions for a nonlinear anti–de Sitter (AdS)-type instability in the gravity-scalar field system. In particular, we discuss the necessary conditions for a cascade of energy to higher modes by applying results in Kolmogorov-Arnold-Moser theory. Our analytical framework explains numerical observations of instability of spacetimes even when the spectrum is only asymptotically resonant, and the fact that a minimum field amplitude is needed to trigger it. Our framework can be applied for similar stability analyses of fields in (locally) asymptotically AdS spacetimes. We illustrate this with the example of the AdS soliton. Further, we conjecture on the possible reasons for quasiperiodic behavior observed in perturbations of AdS spacetime. Certain properties of the eigenfunctions of the linear system dictate whether there will be localization in space leading to black hole formation. These properties are examined using the asymptotics of Jacobi polynomials. Finally we discuss recent results on the AdS instability in Einstein-Gauss-Bonnet gravity in light of our work.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2839
https://doi.org/10.1103/PhysRevD.93.024044
ISSN: 2470-0010
2470-0029
Appears in Collections:JOURNAL ARTICLES

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