Cosmological Perturbations Through a Simple Bounce

Journal Article · Wed Nov 17 04:00:00 EST 2004 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1835190· OSTI ID:20630323

Allen, Laura E ^[1]

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1. Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 2EG (United Kingdom)

We present a study of a simple scalar field model that yields non-singular cosmological solutions. We study both the qualitative dynamics of the homogeneous and isotropic background and the evolution of inhomogeneous linear perturbations. We calculate the spectrum of perturbations generated on super-Hubble scales during the collapse phase from initial vacuum fluctuations on small scales and then evolve these numerically through the bounce. We show that the comoving curvature perturbation calculated during the collapse phase provides a good estimate of the resulting large scale adiabatic perturbation in the expanding phase while the Bardeen metric potential is dominated by what becomes a decaying mode after the bounce. We show that a power-law collapse phase with scale factor proportional to (-t)2/3 can yield a scale-invariant spectrum of adiabatic scalar perturbations in the expanding phase, but the amplitude of tensor perturbations places important constraints on the allowed initial conditions.

• OSTI ID: 20630323
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 736; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
COSMOLOGY
DISTURBANCES
EVOLUTION
FLUCTUATIONS
MATHEMATICAL SOLUTIONS
POTENTIALS
QUANTUM FIELD THEORY
SCALAR FIELDS
SCALARS
TENSORS