Classes of Stable Initial Data for Massless and Massive Scalars in Anti-de Sitter Spacetime
arXiv:1508.02709 · doi:10.1007/JHEP12(2015)004
Abstract
Since horizon formation in global anti-de Sitter spacetime is dual to thermalization of a conformal field theory on a compact space, whether generic initial data is stable or unstable against gravitational collapse is of great interest. We argue that all the known stable initial data for massless scalars are dominated by single scalar eigenmodes, specifically providing strong numerical evidence consistent with the interpretation that initial data with equal energies in two modes collapse on time scales of order the inverse square of the amplitude. We further scan the parameter space for massive scalar field initial data and present evidence for a novel class of stable or quasi-stable solutions for massive scalars with energy spread through several eigenmodes.
31 pages v2. minor clarifications and updates to numerical results 31 pages v3. minor changes to match version published in JHEP
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- Phase Diagram of Stability for Massive Scalars in Anti-de Sitter Spacetime