Reconstruction of the interaction term between dark matter and dark energy using SNe Ia

Abstract

We apply a parametric reconstruction method to a homogeneous, isotropic and spatially flat Friedmann-Robertson-Walker (FRW) cosmological model filled of a fluid of dark energy (DE) with constant equation of state (EOS) parameter interacting with dark matter (DM). The reconstruction method is based on expansions of the general interaction term and the relevant cosmological variables in terms of Chebyshev polynomials which form a complete set orthonormal functions. This interaction term describes an exchange of energy flow between the DE and DM within dark sector. To show how the method works we do the reconstruction of the interaction function expanding it in terms of only the first six Chebyshev polynomials and obtain the best estimation for the coefficients of the expansion assuming three models: (a) a DE equation of the state parameter $w=-1$ (an interacting cosmological $\Lambda$), (b) a DE equation of the state parameter $w=$ constant with a dark matter density parameter fixed, (c) a DE equation of the state parameter $w=$ constant with a free constant dark matter density parameter to be estimated, and using the Union2 SNe Ia data set from "The Supernova Cosmology Project" (SCP) composed by 557 type Ia supernovae. In both cases, the preliminary reconstruction shows that in the best scenario there exist the possibility of a crossing of the noninteracting line Q=0 in the recent past within the $1\sigma$ and $2\sigma$ errors from positive values at early times to negative values at late times. This means that, in this reconstruction, there is an energy transfer from DE to DM at early times and an energy transfer from DM to DE at late times. We conclude that this fact is an indication of the possible existence of a crossing behavior in a general interaction coupling between dark components.

33 Pages, 8 Figures, 8 Tables

References in corpus (60)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmology and the Fate of Dilatation Symmetry
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Dark Energy
• Large-scale instability in interacting dark energy and dark matter fluids
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Dynamics of dark energy with a coupling to dark matter
• Dynamics of interacting dark energy
• Consequences of dark matter-dark energy interaction on cosmological parameters derived from SNIa data
• Cosmologies with Energy Exchange
• Effects of the interaction between dark energy and dark matter on cosmological parameters
• Le Chatelier-Braun principle in cosmological physics
• Interacting Dark Energy and Dark Matter: observational Constraints from Cosmological Parameters
• Coupled and Extended Quintessence: theoretical differences and structure formation
• Stability of the curvature perturbation in dark sectors' mutual interacting models
• Dark Interactions and Cosmological Fine-Tuning
• Constraining Interactions in Cosmology's Dark Sector
• Cosmological Evolution of Interacting Phantom Energy with Dark Matter
• Interacting models may be key to solve the cosmic coincidence problem
• Toward a solution of the coincidence problem
• Matter density perturbations in interacting quintessence models
• The Growth of Structure in Interacting Dark Energy Models
• Testing the interaction between dark energy and dark matter via latest observations
• Observational constraints on the dark energy and dark matter mutual coupling
• Adiabatic instability in coupled dark energy-dark matter models
• Coupled dark matter-dark energy in light of near Universe observations
• Interacting models of soft coincidence
• The imprint of the interaction between dark sectors in large scale cosmic microwave background anisotropies
• Dynamics of Interacting Quintessence Models: Observational Constraints
• Effects of dark sectors' mutual interaction on the growth of structures
• A Field Theory Model for Dark Matter and Dark Energy in Interaction
• Current constraints on interacting holographic dark energy
• Dark Coupling and Gauge Invariance
• Running coupling: Does the coupling between dark energy and dark matter change sign during the cosmological evolution?
• New interactions in the dark sector mediated by dark energy
• Early massive clusters and the bouncing coupled dark energy
• Cosmological model with interactions in the dark sector
• Future CMB cosmological constraints in a dark coupled universe
• Slow-Roll Suppression of Adiabatic Instabilities in Coupled Scalar Field-Dark Matter Models
• Interacting Cosmological Fluids and the Coincidence Problem
• An Interacting Dark Energy Model for the Expansion History of the Universe
• Future weak lensing constraints in a dark coupled universe
• Exact models with non-minimal interaction between dark matter and (either phantom or quintessence) dark energy
• Breaking parameter degeneracy in interacting dark energy models from observations
• Reconstruction of interacting dark energy models from parameterizations
• Higher-order coupled quintessence
• The prospects for constraining dark energy with future X-ray cluster gas mass fraction measurements
• Interacting Dark Energy: Decay into Fermions
• Dark Energy-Dark Matter Interaction from the Abell Cluster A586
• Testing the interaction of dark energy to dark matter through the analysis of virial relaxation of clusters Abell Clusters A586 and A1689 using realistic density profiles
• Interacting dark energy: generic cosmological evolution for two scalar fields
• Interacting Tachyon: generic cosmological evolution for a tachyon and a scalar field
• Prospects in Constraining the Dark Energy Potential
• Possible Equilibria of Interacting Dark Energy Models

Cited by in corpus (4)

• Analytic study of the effect of dark energy-dark matter interaction on the growth of structures
• Background evolution and growth of structures in interacting dark energy through dynamical system analysis
• Scrutinizing Various Phenomenological Interactions In The Context Of Holographic Ricci Dark Energy Models
• Revisiting dynamics of interacting quintessence