Viable tensor-to-scalar ratio in a symmetric matter bounce

Abstract

Matter bounces refer to scenarios wherein the universe contracts at early times as in a matter dominated epoch until the scale factor reaches a minimum, after which it starts expanding. While such scenarios are known to lead to scale invariant spectra of primordial perturbations after the bounce, the challenge has been to construct completely symmetric bounces that lead to a tensor-to-scalar ratio which is small enough to be consistent with the recent cosmological data. In this work, we construct a model involving two scalar fields (a canonical field and a non-canonical ghost field) to drive the symmetric matter bounce and study the evolution of the scalar perturbations in the model. If we consider the scale associated with the bounce to be of the order of the Planck scale, the model is completely described in terms of only one parameter, viz the value of the scale factor at the bounce. We evolve the scalar perturbations numerically across the bounce and evaluate the scalar power spectra after the bounce. We show that, while the scalar and tensor perturbation spectra are scale invariant over scales of cosmological interest, the tensor-to-scalar ratio proves to be much smaller than the current upper bound from the observations of the cosmic microwave background anisotropies by the Planck mission. We also support our numerical analysis with analytical arguments.

arXiv commentv1: 39 pages, 8 figures; v2: 40 pages, 8 figures, discussions and references added, accepted for publication in JCAP

References in corpus (74)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Perturbations in k-inflation
• Encyclopaedia Inflationaris
• Inflation Dynamics and Reheating
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• Adiabatic and entropy perturbations from inflation
• The phantom menaced: constraints on low-energy effective ghosts
• Cosmological perturbations
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Towards a Nonsingular Bouncing Cosmology
• On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase
• Bouncing Cosmologies: Progress and Problems
• Ekpyrotic and Cyclic Cosmology
• Duality Invariance of Cosmological Perturbation Spectra
• A Critical Review of Classical Bouncing Cosmologies
• G-Bounce
• Bouncing Universe with Quintom Matter
• Density Perturbations in the Ekpyrotic Scenario
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• Perturbations in generalized multi-field inflation
• Exploring Bouncing Cosmologies with Cosmological Surveys
• A Nonsingular Cosmology with a Scale-Invariant Spectrum of Cosmological Perturbations from Lee-Wick Theory
• The Imperfect Fluid behind Kinetic Gravity Braiding
• Curvature and isocurvature perturbations in two-field inflation
• On the Construction of Nonsingular Pre-Big-Bang and Ekpyrotic Cosmologies and the Resulting Density Perturbations
• Bouncing Galileon Cosmologies
• Primordial perturbations in a non singular bouncing universe model
• Classically stable non-singular cosmological bounces
• Cosmological perturbations through a simple bounce
• Two Field Matter Bounce Cosmology
• Cosmology without inflation
• A Matter Bounce By Means of Ghost Condensation
• Four-year COBE normalization of inflationary cosmologies
• On Perturbations of Quintom Bounce
• The Matter Bounce Curvaton Scenario
• Adiabatic and entropy perturbations with interacting fluids and fields
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• The Observational Status of Cosmic Inflation after Planck
• Anisotropy in a Nonsingular Bounce
• Passing through the bounce in the ekpyrotic models
• Parametric amplification of metric fluctuations through a bouncing phase
• Inflationary Cosmological Perturbations of Quantum-Mechanical Origin
• Correlation-consistency cartography of the double inflation landscape
• Hunting Down the Best Model of Inflation with Bayesian Evidence
• The bounce universe history from unimodular $F(R)$ gravity
• Evolution of cosmological perturbations and the production of non-Gaussianities through a nonsingular bounce: Indications for a no-go theorem in single field matter bounce cosmologies
• Implications of Planck2015 for inflationary, ekpyrotic and anamorphic bouncing cosmologies
• Nonperturbative analysis of the evolution of cosmological perturbations through a nonsingular bounce
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• A classical bounce: constraints and consequences
• How Well Can Future CMB Missions Constrain Cosmic Inflation?
• Nonsingular bouncing cosmologies in light of BICEP2
• Bouncing alternatives to inflation
• Vector Perturbations in a Contracting Universe
• Scale-invariant perturbations in ekpyrotic cosmologies without fine-tuning of initial conditions
• Scalar perturbations in regular two-component bouncing cosmologies
• Spectra of primordial fluctuations in two-perfect-fluid regular bounces
• Black hole formation in a contracting universe
• Stationary Configurations Imply Shift Symmetry: No Bondi Accretion for Quintessence / k-Essence
• A note on perfect scalar fields
• An Inflationary Non-singular Quantum Cosmological Model
• Adiabatic and entropy perturbations propagation in a bouncing Universe
• Converting entropy to curvature perturbations after a cosmic bounce
• Perturbations in a Bouncing Brane Model
• Large Adiabatic Scalar Perturbations in a Regular Bouncing Universe
• Duality and scale invariant magnetic fields from bouncing universes
• Generation of scale invariant magnetic fields in bouncing universes
• The tensor bi-spectrum in a matter bounce
• Non-Gaussianity excess problem in classical bouncing cosmologies
• Fine-tuning challenges for the matter bounce scenario
• Quantum Cosmological Perturbations of Multiple Fluids
• Bayesian evidence and predictivity of the inflationary paradigm
• Comments on "Growth of Covariant Perturbations in the Contracting Phase of a Bouncing Universe" by A. Kumar
• Bouncing Cosmologies

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• Anomalies in the CMB from a cosmic bounce
• Primordial non-Gaussianities of scalar and tensor perturbations in general bounce cosmology: Evading the no-go theorem
• Can non-minimal coupling restore the consistency condition in bouncing universes?
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Primordial features from ekpyrotic bounces
• Observational consequences of Bianchi I spacetimes in loop quantum cosmology
• Cross-correlations between scalar perturbations and magnetic fields in bouncing universes
• No-boundary Wave Function, Wheeler-DeWitt Equation and Path Integral Analysis of the Bouncing `Quantum' Cosmology
• Aspects of non-singular bounce in modified gravity theories
• Viable scalar spectral tilt and tensor-to-scalar ratio in near-matter bounces
• Bouncing with shear: Implications from quantum cosmology
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• B-Mode auto-bispectrum due to matter bounce
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Conserved cosmological perturbations in USR inflation and bouncing scenarios
• A gauge invariant prescription to avoid $\gamma$-crossing instability in Galileon bounce
• Lorentzian quantum cosmology with torsion
• Quantum-to-classical transition and imprints of continuous spontaneous localization in classical bouncing universes
• Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights
• Universe bouncing its way to inflation