Gravitational Turbulent Instability of Anti-de Sitter Space
Gravitational Turbulent Instability of Anti-de Sitter Space
Bizon and Rostworowski have recently suggested that anti-de Sitter spacetime might be nonlinearly unstable to transferring 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 certain linearized modes and add higher order corrections to construct nonlinear geons, 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.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Horowitz, Gary T.
f3eee38b-fb5f-43ae-91b2-d70500e2ef73
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
29 August 2012
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Horowitz, Gary T.
f3eee38b-fb5f-43ae-91b2-d70500e2ef73
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Dias, Oscar J.C., Horowitz, Gary T. and Santos, Jorge E.
(2012)
Gravitational Turbulent Instability of Anti-de Sitter Space.
Classical and Quantum Gravity, 29 (19).
(doi:10.1088/0264-9381/29/19/194002).
Abstract
Bizon and Rostworowski have recently suggested that anti-de Sitter spacetime might be nonlinearly unstable to transferring 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 certain linearized modes and add higher order corrections to construct nonlinear geons, 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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Published date: 29 August 2012
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© 2012 IOP Publishing Ltd
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Local EPrints ID: 467706
URI: http://eprints.soton.ac.uk/id/eprint/467706
PURE UUID: c4cca0da-fc2e-41bf-bc4d-9d48e1fafc7f
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Date deposited: 19 Jul 2022 16:57
Last modified: 17 Mar 2024 03:35
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Author:
Gary T. Horowitz
Author:
Jorge E. Santos
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