Collapse of simple harmonic universe

Oct, 2011
14 pages
Published in:
  • JCAP 01 (2012) 028
e-Print:

Citations per year

2011201420172020202302468
Abstract: (arXiv)
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.
Note:
  • 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
  • tunneling: quantum
  • space-time: collapse
  • cosmological model: oscillation
  • space-time: stability
  • nucleation
  • instanton
  • space-time: emergence
  • Wheeler-DeWitt equation
  • boundary condition
  • inflation