Running of the Spectral index in Deformed Matter Bounce Scenarios with Hubble-rate-dependent Dark Energy

Abstract

As a deformed matter bounce scenario with a dark energy component we propose a deformed one with running vacuum model (RVM) in which the dark energy density is written as a power series of $H^2$ and $\dot{H}$ with a constant equation of state parameter same as the cosmological constant. Our results in analytical and numerical point of views show that in some cases same as LCDM bounce scenario, although the spectral index may achieve a good consistency with observations, a positive value of running of spectral index is obtained which is not compatible with inflationary paradigm where it predicts a small negative value for ${\alpha }_s$. However, by extending the power series up to $H^4$, ${\rho }_{\Lambda }=n_0+n_2{H}^2+n_4{H}^4$, and estimating a set of consistent parameters, we obtain the spectral index $n_s$, a small negative value of running ${\alpha }_s$ and tensor to scalar ratio $r$, which these reval a degeneracy between deformed matter bounce scenario with RVM-DE and inflationary cosmology.

arXiv comment27 pages, 6 figures

References in corpus (63)

• Planck 2013 results. XVI. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Pre-Big-Bang in String Cosmology
• A new approach to the evolution of cosmological perturbations on large scales
• The Trans-Planckian Problem of Inflationary Cosmology
• Matter Bounce Cosmology with the f(T) Gravity
• Towards a Nonsingular Bouncing Cosmology
• On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase
• Eternal inflation and the initial singularity
• Inflationary cosmology in modified gravity theories
• Cosmological constant and vacuum energy: old and new ideas
• Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn Phase of String Cosmology
• The scaling evolution of cosmological constant
• A Cosmological Theory without Singularities
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Hubble expansion & Structure Formation in Time Varying Vacuum Models
• The cosmological constant from the QCD Veneziano ghost
• The Matter Bounce Scenario in Loop Quantum Cosmology
• Dark energy: a quantum fossil from the inflationary Universe?
• Expansion History with Decaying Vacuum: A Complete Cosmological Scenario
• Avoidance of future singularities in loop quantum cosmology
• The cosmological constant from the ghost. A toy model
• Complete Cosmic History with a dynamical Lambda(H) term
• Two Field Matter Bounce Cosmology
• A cosmological constant from the QCD trace anomaly?
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• The Matter Bounce Curvaton Scenario
• Bouncing Loop Quantum Cosmology from $F(T)$ gravity
• Testing the running of the cosmological constant with Type Ia Supernovae at high z
• Matter creation in a nonsingular bouncing cosmology
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Towards Anisotropy-Free and Non-Singular Bounce Cosmology with Scale-invariant Perturbations
• Anisotropy in a Nonsingular Bounce
• Generalizing the running vacuum energy model and comparing with the entropic-force models
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• Why are the effective equations of loop quantum cosmology so accurate?
• Cosmological constant, violation of cosmological isotropy and CMB
• Bouncing cosmologies with dark matter and dark energy
• An Extended Matter Bounce Scenario: current status and challenges
• Vacuum models with a linear and a quadratic term in H: structure formation and number counts analysis
• Consistent Loop Quantum Cosmology
• A $\Lambda$CDM bounce scenario
• Holonomy Corrections in the Effective Equations for Scalar Mode Perturbations in Loop Quantum Cosmology
• Viability of the matter bounce scenario in Loop Quantum Cosmology from BICEP2 last data
• Running vacuum in the Universe and the time variation of the fundamental constants of Nature
• From inflation to dark energy through a dynamical Lambda: an attempt at alleviating fundamental cosmic puzzles
• The cosmological constant as a manifestation of the conformal anomaly?
• Quasi-matter domination parameters in bouncing cosmologies
• Background history and cosmic perturbations for a general system of self-conserved dynamical dark energy and matter
• Lattice loop quantum cosmology: scalar perturbations
• The cosmological constant and entropy problems: mysteries of the present with profound roots in the past
• Cosmological perturbations and stability of nonsingular cosmologies with limiting curvature
• Running of the scalar spectral index in bouncing cosmologies
• Deformed Matter Bounce with Dark Energy Epoch
• Converting entropy to curvature perturbations after a cosmic bounce
• Separate universes in loop quantum cosmology: framework and applications
• Searching for a matter bounce cosmology with low redshift observations
• Vacuum energy density kicked by the electroweak crossover
• Bouncing Universes in Scalar-Tensor Gravity Around Conformal Invariance
• A viable Starobinsky-like inflationary scenario in the light of Planck and BICEP2 results

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