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...

ver descrição completa

Detalhes bibliográficos
Autores: Brito, Richard, Cardoso, Vitor, Rocha, Jorge V.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2016
País:España
Recursos:Universidad de Barcelona
Repositório:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/113838
Acesso em linha:https://hdl.handle.net/2445/113838
Access Level:Acceso aberto
Palavra-chave:Mecànica celeste
Partícules (Matèria)
Col·lapse gravitacional
Forats negres (Astronomia)
Celestial mechanics
Particles
Gravitational collapse
Black holes (Astronomy)
Descrição
Resumo: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.