Interacting shells in AdS spacetime and chaos

We study the simplest two-body problem in asymptotically anti-de Sitter spacetime: two, infinitely thin, concentric spherical shells of matter. We include only gravitational interaction between the two shells, but we show that the dynamics of this system is highly nontrivial. We observe prompt colla...

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Bibliographic Details
Authors: Brito, Richard, Cardoso, Vitor, Rocha, Jorge V.
Format: article
Status:Published version
Publication Date:2016
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/113838
Online Access:https://hdl.handle.net/2445/113838
Access Level:Open access
Keyword:Mecànica celeste
Partícules (Matèria)
Col·lapse gravitacional
Forats negres (Astronomia)
Celestial mechanics
Particles
Gravitational collapse
Black holes (Astronomy)
Description
Summary:We study the simplest two-body problem in asymptotically anti-de Sitter spacetime: two, infinitely thin, concentric spherical shells of matter. We include only gravitational interaction between the two shells, but we show that the dynamics of this system is highly nontrivial. We observe prompt collapse to a black hole, delayed collapse and even perpetual oscillatory motion, depending on the initial location of the shells (or their energy content). The system exhibits critical behavior, and we show strong hints that it is also chaotic.