Quasi-matter domination parameters in bouncing cosmologies

Abstract

For bouncing cosmologies, a fine set of parameters is introduced in order to describe the nearly matter dominated phase, and which play the same role that the usual slow-roll parameters play in inflationary cosmology. It is shown that, as in the inflation case, the spectral index and the running parameter for scalar perturbations in bouncing cosmologies can be best expressed in terms of these small parameters. Further, they explicitly exhibit the duality which exists between a nearly matter dominated Universe in its contracting phase and the quasi de Sitter regime in the expanding one. The results obtained also confirm and extend the known evidence that the spectral index for a matter dominated Universe in the contracting phase is, in fact, the same as the spectral index for an exact Sitter regime in the expanding phase. Finally, in both the inflationary and the matter bounce scenarios, the theoretical values of the spectral index and of the running parameter are compared with their experimental counterparts, obtained from the most recent PLANCK data, with the result that the bouncing models here discussed do fit well accurate astronomical observations.

Version accepted for publication in Physical Review D

References in corpus (19)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Quantum Nature of the Big Bang
• Towards a Nonsingular Bouncing Cosmology
• Are loop quantum cosmos never singular?
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Loop quantum gravity corrections to gravitational wave dispersion
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• Consistent Loop Quantum Cosmology
• A classical bounce: constraints and consequences
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• On $R+\alpha R^2$ Loop Quantum Cosmology
• Inflation without Selfreproduction
• Viability of the matter bounce scenario in Loop Quantum Cosmology from BICEP2 last data
• Single field inflation with modulated potential in light of the Planck and BICEP2
• How can holonomy corrections be introduced in $f(R)$ gravity?
• Bouncing Cosmologies

Cited by in corpus (29)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• An Extended Matter Bounce Scenario: current status and challenges
• Extended matter bounce scenario in ghost free $f(R,\mathcal{G})$ gravity compatible with GW170817
• A $\Lambda$CDM bounce scenario
• Bounce universe from string-inspired Gauss-Bonnet gravity
• Unimodular $F(R)$ Gravity
• From a Bounce to the Dark Energy Era with $F(R)$ Gravity
• Gravitationally induced adiabatic particle production: From Big Bang to de Sitter
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Running of the scalar spectral index in bouncing cosmologies
• Bounce cosmology in $f(\mathcal{R})$ gravity
• Non-singular Bounce Cosmology from Lagrange Multiplier $F(R)$ Gravity
• Bouncing cosmology in modified gravity with higher-order Gauss-Bonnet curvature term
• Searching for a matter bounce cosmology with low redshift observations
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Bouncing cosmology in extended gravity and its reconstruction as dark energy model
• Stability of Hyperbolic and Matter-Dominated Bounce Cosmologies From F(R,G) Modified Gravity at Late Evolution Stages
• Aspects of non-singular bounce in modified gravity theories
• Viability of the Matter Bounce Scenario
• Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
• Quasi-matter bounce and inflation in the light of the CSL model
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Running of the Spectral index in Deformed Matter Bounce Scenarios with Hubble-rate-dependent Dark Energy
• Qualitative study in Loop Quantum Cosmology
• Bouncing cosmologies in geometries with positively curved spatial sections
• A quasi-matter bounce equivalent to Starobinsky inflation
• Towards degeneracy breaking of early universe models
• Quasi-matter Bounce Cosmology in Light of Planck