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Gravitational Turbulent Instability of Anti-de Sitter Space

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arxiv 1109.1825 v1 pith:3F3X33NB submitted 2011-09-08 hep-th gr-qc

Oscar J.C. Dias , Gary T. Horowitz , Jorge E. Santos This is my paper · ORCID
classification hep-thgr-qc
keywords anti-dehigherinstabilitymodessittersmallerturbulentamplitude
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Bizon and Rostworowski have recently suggested that anti-de Sitter spacetime might be nonlinearly unstable to transfering energy to smaller and smaller scales and eventually forming a small black hole. We consider pure gravity with a negative cosmological constant and find strong support for this idea. While one can start with a single linearized mode and add higher order corrections to construct a nonlinear geon, this is not possible starting with a linear combination of two or more modes. One is forced to add higher frequency modes with growing amplitude. The implications of this turbulent instability for the dual field theory are discussed.

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Cited by 5 Pith papers

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