Consistent Scalar and Tensor Perturbation Power Spectra in Single Fluid Matter Bounce with Dark Energy Era

Abstract

We investigate cosmological scenarios containing one canonical scalar field with an exponential potential in the context of bouncing models, where the bounce happens due to quantum cosmological effects. The only possible bouncing solutions in this scenario (discarding an infinitely fine tuned exception) must have one and only one dark energy phase, either occurring in the contracting era or in the expanding era. Hence,these bounce solutions are necessarily asymmetric. We calculate the spectral indexes and amplitudes of scalar and tensor perturbations numerically, considering the whole history of the model, including the bounce phase itself, without making any approximation or using any matching condition on the perturbations. As the background model is necessarily dust dominated in the far past, the usual adiabatic vacuum initial conditions can be easily imposed in this era. Hence, this is a cosmological model where the presence of dark energy behavior in the Universe does not turn problematic the usual vacuum initial conditions prescription for cosmological perturbation in bouncing models. Scalar and tensor perturbations end up being almost scale invariant, as expected. The background parameters can be adjusted, without fine tunings, to yield the observed amplitude for scalar perturbations, and also for the ratio between tensor and scalar amplitudes, $r=T/S\lesssim 0.1$. The amplification of scalar perturbations over tensor perturbations takes place only around the bounce, due to quantum effects, and it would not occur if General Relativity has remained valid throughout this phase. Hence, this is a bouncing model where a single field induces not only an expanding background dark energy phase, but also produces all observed features of cosmological perturbations of quantum mechanical origin at linear order.

23 pages, 15 figures

References in corpus (35)

• Towards a Nonsingular Bouncing Cosmology
• Bouncing Cosmologies: Progress and Problems
• A Critical Review of Classical Bouncing Cosmologies
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Exploring Bouncing Cosmologies with Cosmological Surveys
• The Classical Universes of the No-Boundary Quantum State
• Hybrid quantization of an inflationary universe
• Cosmology without inflation
• Non-Gaussianity in a Matter Bounce
• Anisotropy in a Nonsingular Bounce
• Cosmological Perturbations Through a Non-Singular Ghost-Condensate/Galileon Bounce
• A non inflationary model with scale invariant cosmological perturbations
• Holographic dark energy in a cyclic universe
• Scalar and Vector Perturbations in Quantum Cosmological Backgrounds
• Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
• A $\Lambda$CDM bounce scenario
• Particle Creation in Bouncing Cosmologies
• Notes on dark energy interacting with dark matter and unparticle in loop quantum cosmology
• Dark Energy and the Return of the Phoenix Universe
• Matter bounce cosmology with a generalized single field: non-Gaussianity and an extended no-go theorem
• Scalar Perturbations in Scalar Field Quantum Cosmology
• Gravitational wave background in perfect fluid quantum cosmologies
• Deformed Matter Bounce with Dark Energy Epoch
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Searching for a matter bounce cosmology with low redshift observations
• Bounce Universe Induced by an Inhomogeneous Dark Fluid Coupled with Dark Matter
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Constraining quantum collapse inflationary models with CMB data
• Quantum matter bounce with a dark energy expanding phase
• Equation of motion of canonical tensor model and Hamilton-Jacobi equation of general relativity
• Jacobi stability analysis of scalar field models with minimal coupling to gravity in a cosmological background
• Reviving Quintessence with an Exponential Potential
• Phase space analysis for a scalar-tensor model with kinetic and Gauss-Bonnet couplings
• Unitary evolution, canonical variables and vacuum choice for general quadratic Hamiltonians in spatially homogeneous and isotropic space-times
• Kinematic equivalence between models driven by DBI field with constant $\gamma$ and exotic holographic quintessence cosmological models

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• The de Broglie-Bohm Quantum Theory and its Application to Quantum Cosmology
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• Modeling the large-scale power deficit with smooth and discontinuous primordial spectra
• Primordial Magnetogenesis in a Bouncing Universe
• Fermion Production in Bouncing Cosmologies
• Constraining the bispectrum from bouncing cosmologies with Planck
• Dynamical black hole in a bouncing universe
• Stochastic collapse
• Vector perturbations in bouncing cosmology
• Non-Singular Bouncing Model in Energy Momentum Squared Gravity
• Baryogenesis in cosmological models with symmetric and asymmetric quantum bounces
• New formalism to define vacuum states for scalar fields in curved space-times
• Quantum Hořava-Lifshitz cosmology in the de Broglie-Bohm interpretation
• Bouncing and inflationary dynamics in quantum cosmology in the de Broglie-Bohm interpretation
• Classical and quantum cosmology of Fab Four John theories
• Survival of black holes through a cosmological bounce
• Black hole in asymmetric cosmological bounce
• Bouncing and Cyclic Quantum Primordial Universes and the Ordering Problem
• Bohmian Quantum Cosmology from the Wheeler-DeWitt Equation
• Primordial magnetogenesis in a bouncing model with dark energy
• Dynamical analysis of quantum matter bounces with dark sector mimickers
• Introdução à Cosmologia Quântica
• The CMB bispectrum from bouncing cosmologies