Primordial perturbations in a non singular bouncing universe model

Mar, 2002
11 pages
Published in:
  • Phys.Rev.D 66 (2002) 063509
e-Print:

Citations per year

20012007201320192025051015
Abstract:
We construct a simple non singular cosmological model in which the currently observed expansion phase was preceded by a contraction. This is achieved, in the framework of pure general relativity, by means of a radiation fluid and a free scalar field having negative energy. We calculate the power spectrum of the scalar perturbations that are produced in such a bouncing model and find that, under the assumption of initial vacuum state for the quantum field associated with the hydrodynamical perturbation, this leads to a spectral index n=-1. The matching conditions applying to this bouncing model are derived and shown to be different from those in the case of a sharp transition. We find that if our bounce transition can be smoothly connected to a slowly contracting phase, then the resulting power spectrum will be scale invariant.
Note:
  • 11 pages, RevTeX 4, 8 figures, submitted to Phys. Rev. D
  • 98.80.Hw
  • 98.80.Cq
  • cosmological model
  • perturbation: scalar
  • radiation: fluid
  • field theory: scalar
  • numerical calculations