Collapse of simple harmonic universe
arXiv:1110.4096 · doi:10.1088/1475-7516/2012/01/028
Abstract
In a recent paper Graham et al constructed oscillating and static universe models which are stable with respect to all classical perturbations. Here we show that such universes are quantum-mechanically unstable and can collapse by quantum tunneling to zero radius. We also present instantons describing nucleation of oscillating and static universes from nothing.
14 pages, 4 figures; v2: Discussion of tunneling from nothing is expanded into a separate section; some references added; v3: Note added; some additional references added; v4: some comments and references added
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