On the Transfer of Adiabatic Fluctuations through a Nonsingular Cosmological Bounce

Abstract

We study the transfer of cosmological perturbations through a nonsingular cosmological bounce in a special model in which the parameters of the bounce and the equation of state of matter are chosen such as to allow for an exact calculation of the evolution of the fluctuations. We find that the growing mode of the metric fluctuations in the contracting phase goes over into the growing mode in the expanding phase, a result which is different from what is obtained in analyses in which fluctuations are matched at a singular hypersurface. Consequences for Ekpyrotic cosmology are discussed in a limit when the equation of state of a fluid becomes large.

arXiv commentDiscussion on Mukhanov variable and curvature perturbation added

References in corpus (32)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Pre-Big-Bang in String Cosmology
• The Pre-Big Bang Scenario in String Cosmology
• From Big Crunch to Big Bang
• Superstring Cosmology
• Eternal inflation and the initial singularity
• New Ekpyrotic Cosmology
• Gauge invariant MSSM inflaton
• Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn Phase of String Cosmology
• Density Perturbations in the Ekpyrotic Scenario
• MSSM flat direction inflation: slow roll, stability, fine tunning and reheating
• Generating Ekpyrotic Curvature Perturbations Before the Big Bang
• On matching conditions for cosmological perturbations
• On the Construction of Nonsingular Pre-Big-Bang and Ekpyrotic Cosmologies and the Resulting Density Perturbations
• Cosmological perturbations through a simple bounce
• String Gas Cosmology and Structure Formation
• Metric Perturbations in Dilaton-Driven Inflation
• Adiabatic perturbations in pre big bang models: matching conditions and scale invariance
• Cosmological Perturbations in a Big Crunch/Big Bang Space-time
• Evolution of cosmological perturbations in non-singular string cosmologies
• Passing through the bounce in the ekpyrotic models
• Cosmological structure problem of the ekpyrotic scenario
• A non inflationary model with scale invariant cosmological perturbations
• Assisted Contraction
• On the "Causality Argument" in Bouncing Cosmologies
• Scalar perturbations in regular two-component bouncing cosmologies
• Study of a Class of Four Dimensional Nonsingular Cosmological Bounces
• Casimir energy and a cosmological bounce
• Cosmological Perturbations on a Bouncing Brane
• On the Transfer of Metric Fluctuations when Extra Dimensions Bounce or Stabilize
• K-Bounce
• A Note on Perturbations During a Regular Bounce

Cited by in corpus (17)

• Towards a Nonsingular Bouncing Cosmology
• Matter Bounce in Horava-Lifshitz Cosmology
• A Nonsingular Cosmology with a Scale-Invariant Spectrum of Cosmological Perturbations from Lee-Wick Theory
• A Matter Bounce By Means of Ghost Condensation
• Cosmology of the Very Early Universe
• The Matter Bounce Alternative to Inflationary Cosmology
• Thermal Fluctuations and Bouncing Cosmologies
• Processing of Cosmological Perturbations in a Cyclic Cosmology
• Cosmological Perturbations on a Bouncing Brane
• A Radiation Bounce from the Lee-Wick Construction?
• Unconventional Cosmology
• Observational signatures of a non-singular bouncing cosmology
• On the Instability of the Lee-Wick Bounce
• Constraints on Models with a Break in the Primordial Power Spectrum
• Time-Dependent Warping and Non-Singular Bouncing Cosmologies
• Adiabatic fluctuations from cosmic strings in a contracting universe
• Origin & evolution of the Universe