Oscillating Shells in Anti-de Sitter Space

Abstract

We study the dynamics of a spherically symmetric thin shell of perfect fluid embedded in d-dimensional Anti-de Sitter space-time. In global coordinates, besides collapsing solutions, oscillating solutions are found where the shell bounces back and forth between two radii. The parameter space where these oscillating solutions exist is scanned in arbitrary number of dimensions. As expected AdS3 appears to be singled out.

13 pages, 5 figures, contribution to the proceedings of the "VII Black Holes Workshop", Aveiro, Portugal, 18-19 December 2014

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• Two worlds collide: Interacting shells in AdS spacetime and chaos
• Fast and Slow Coherent Cascades in Anti-de Sitter Spacetime
• The instability of anti-de Sitter space-time
• Oscillating Shells and Oscillating Balls in AdS
• Gravitational systems in asymptotically anti-de Sitter space-times