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.

arXiv comment33 Pages, 8 Figures, 8 Tables

References in corpus (160)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Seventh Data Release of the Sloan Digital Sky Survey
• The Cosmological Constant and Dark Energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Cosmological Constant
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Coupled Quintessence
• 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
• Cosmological Results from High-z Supernovae
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Cosmological Tracking Solutions
• 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
• Constraints on the redshift dependence of the dark energy potential
• The Cosmic Triangle: Revealing the State of the Universe
• Quintessence and the Rest of the World
• The Second Data Release of the Sloan Digital Sky Survey
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• The First Data Release of the Sloan Digital Sky Survey
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• Dark Energy
• A Redetermination of the Hubble Constant with the Hubble Space Telescope from a Differential Distance Ladder
• The Third Data Release of the Sloan Digital Sky Survey
• Holographic dark energy and cosmic coincidence
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Transition of the dark energy equation of state in an interacting holographic dark energy model
• Improved constraints on dark energy from Chandra X-ray observations of the largest relaxed galaxy clusters
• Interacting Quintessence
• Scrutinizing Exotic Cosmological Models Using ESSENCE Supernova Data Combined with Other Cosmological Probes
• Dark Matter and Dark Energy
• Interacting quintessence solution to the coincidence problem
• Interacting Dark Matter and Dark Energy
• Cosmological Constraints from the Clustering of the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Cosmological Constraints from the SDSS maxBCG Cluster Catalog
• Cosmic Concordance and Quintessence
• Large-scale instability in interacting dark energy and dark matter fluids
• Probing the Coupling between Dark Components of the Universe
• The case for dynamical dark energy revisited
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Crossing the Phantom Divide: Theoretical Implications and Observational Status
• The Cosmological Constant Problem and Quintessence
• Cosmology with Interaction between Phantom Dark Energy and Dark Matter and the Coincidence Problem
• Dynamics of dark energy with a coupling to dark matter
• Constraints on the interacting holographic dark energy model
• Super-acceleration as Signature of Dark Sector Interaction
• Cosmological constraints from the X-ray gas mass fraction in relaxed lensing clusters observed with Chandra
• Dynamics of interacting dark energy
• Tracking and coupled dark energy as seen by WMAP
• 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
• Linear and non-linear perturbations in dark energy models
• The foundations of observing dark energy dynamics with the Wilkinson Microwave Anisotropy Probe
• Interactions in Scalar Field Cosmology
• Likely Values of the Cosmological Constant
• Dark Energy and Dark Matter
• Observational constraints on interacting quintessence models
• Linear and nonlinear interactions in the dark sector
• Interacting Dark Energy and Dark Matter: observational Constraints from Cosmological Parameters
• The essence of quintessence and the cost of compression
• Dark coupling
• Coupled and Extended Quintessence: theoretical differences and structure formation
• A model independent approach to the dark energy equation of state
• Observational constraints on an interacting dark energy model
• Stability of the curvature perturbation in dark sectors' mutual interacting models
• Dark Interactions and Cosmological Fine-Tuning
• Statefinder parameters for interacting dark energy
• Constraining Interactions in Cosmology's Dark Sector
• Cosmological Evolution of Interacting Phantom Energy with Dark Matter
• A New Method to Estimate Cosmological Parameters Using Baryon Fraction of Clusters of Galaxies
• 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
• Enlarged quintessence cosmology
• Testing the interaction between dark energy and dark matter via latest observations
• The Growth of Structure in Interacting Dark Energy Models
• Constraining Dark Energy with X-ray Galaxy Clusters, Supernovae and the Cosmic Microwave Background
• Observational constraints on the dark energy and dark matter mutual coupling
• Interacting Quintessence, Cosmic Acceleration and the Coincidence Problem
• Adiabatic instability in coupled dark energy-dark matter models
• Interacting Dark Energy and Cosmological Equations of State
• Coupled dark matter-dark energy in light of near Universe observations
• Adiabatic initial conditions for perturbations in interacting dark energy models
• Perturbations in a coupled scalar field cosmology
• Constraining the quintessence equation of state with SnIa data and CMB peaks
• Interacting models of soft coincidence
• The imprint of the interaction between dark sectors in large scale cosmic microwave background anisotropies
• Constraint on Coupled Dark Energy Models from Observations
• Velocities as a probe of dark sector interactions
• On the Dark Sector Interactions
• Signature of the interaction between dark energy and dark matter in observations
• Dynamics of Interacting Quintessence Models: Observational Constraints
• Tension and Systematics in the Gold06 SnIa Dataset
• Phantom damping of matter perturbations
• A Priori Probability Distribution of the Cosmological Constant
• Effects of dark sectors' mutual interaction on the growth of structures
• A Field Theory Model for Dark Matter and Dark Energy in Interaction
• Constraints on the interaction and self-interaction of dark energy from cosmic microwave background
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. II. A Spectroscopic Catalog of Red Galaxies in Galaxy Clusters
• Current constraints on interacting holographic dark energy
• Dark Coupling and Gauge Invariance
• The Abell Cluster A586 and the Detection of the Equivalence Principle
• Interacting Dark Energy and the Cosmic Coincidence Problem
• Constraints on the coupled quintessence from cosmic microwave background anisotropy and matter power spectrum
• Dual interacting cosmologies and late accelerated expansion
• Interacting Phantom Energy and Avoidance of the Big Rip Singularity
• Running coupling: Does the coupling between dark energy and dark matter change sign during the cosmological evolution?
• Quintessence with quadratic coupling to dark matter
• New interactions in the dark sector mediated by dark energy
• The imprint of the interaction between dark sectors in galaxy clusters
• Early massive clusters and the bouncing coupled dark energy
• Cosmological model with interactions in the dark sector
• Fitting Type Ia supernovae with coupled dark energy
• Future CMB cosmological constraints in a dark coupled universe
• Transient cosmic acceleration from interacting fluids
• New coupled quintessence cosmology
• CMB constraints on interacting cosmological models
• 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
• Tension in the Recent Type Ia Supernovae Datasets
• 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
• Limits on coupling between dark components
• Comparison of Recent SnIa datasets
• Exact solutions for the interacting tachyonic-dark matter system
• Soft coincidence in late acceleration
• 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
• The integrated Sachs-Wolfe effect in cosmologies with coupled dark matter and dark energy
• Interacting Dark Energy: Decay into Fermions
• Limits on the parameters of the equation of state for interacting dark energy
• 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
• Inhomogeneous models of interacting dark matter and dark energy
• 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