A quasi-matter bounce equivalent to Starobinsky inflation

Abstract

In this paper we construct a bounce model that mimics the Starobinsky inflationary model. Our construction relies on Wands' duality, which shows that the Mukhanov-Sasaki equation has a symmetry transformation by changing appropriately its time-dependent mass term. One of the advantages of this constructive method is that one can control every contribution to the primordial power spectrum and check how far we can emulate a given primordial model with a different scenario. In particular, we show that mapping the Starobinsky inflation into a quasi-matter bounce gives the correct relation between the scalar spectral index $n_s-1$ and the tensor-to-scalar ratio $r$.

12 pages, 2 figures

References in corpus (16)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• A Critical Review of Classical Bouncing Cosmologies
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Generating Ekpyrotic Curvature Perturbations Before the Big Bang
• Quantum cosmology: a review
• Cosmology without inflation
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• A non inflationary model with scale invariant cosmological perturbations
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• A $\Lambda$CDM bounce scenario
• A classical bounce: constraints and consequences
• Scalar Perturbations in Scalar Field Quantum Cosmology
• The Wheeler-DeWitt Quantization Can Solve the Singularity Problem
• An Inflationary Non-singular Quantum Cosmological Model
• Wheeler-DeWitt quantization and singularities

Cited by in corpus (2)

• Stochastic collapse
• Viable Curvaton Models from the $f_{NL}$ Parameter