Oscillating Shells in Anti-de Sitter Space
Javier Mas, Alexandre Serantes
TL;DR
This paper investigates the behavior of spherically symmetric shells in Anti-de Sitter space, revealing oscillating solutions where shells bounce between radii, with a focus on how these solutions vary across dimensions.
Contribution
It introduces the existence of oscillating shell solutions in Anti-de Sitter space and analyzes their parameter space across multiple dimensions, highlighting unique features in AdS3.
Findings
Oscillating shell solutions exist in AdS space.
AdS3 exhibits unique oscillating behaviors.
Parameter space for oscillations varies with dimension.
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.
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