A model independent approach to the dark energy equation of state

Abstract

The consensus of opinion in cosmology is that the Universe is currently undergoing a period of accelerated expansion. With current and proposed high precision experiments it offers the hope of being able to discriminate between the two competing models that are being suggested to explain the observations, namely a cosmological constant or a time dependent `Quintessence' model. The latter suffers from a plethora of scalar field potentials all leading to similar late time behaviour of the universe, hence to a lack of predictability. In this paper, we develop a model independent approach which simply involves parameterizing the dark energy equation of state in terms of known observables. This allows to analyse the impact dark energy has had on cosmology without the need to refer to particular scalar field models and opens up the possibility that future experiments will be able to constrain the dark energy equation of state in a model independent manner.

6 pages, 5 figures. Final version to appear in PRD

References in corpus (7)

• Parameterization of Dark-Energy Properties: a Principal-Component Approach
• Probing the dark side: Constraints on the dark energy equation of state from CMB, large scale structure and Type Ia supernovae
• Measuring the Equation-of-state of the Universe: Pitfalls and Prospects
• Probing quintessence: reconstruction and parameter estimation from supernovae
• Prospects for Determining the Equation of State of the Dark Energy: What can be Learned from Multiple Observables?
• A late-time transition in the cosmic dark energy?
• Sensitivity of the Cosmic Microwave Background Anisotropy to Initial Conditions in Quintessence Cosmology

Cited by in corpus (143)

• Dynamics of dark energy
• Dark Energy and the Accelerating Universe
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Dark Energy
• Reconstructing Dark Energy
• Quintessence: A Review
• Dark Matter and Dark Energy
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Cosmic Microwave Background and Supernova Constraints on Quintessence: Concordance Regions and Target Models
• Gaussian Process Cosmography
• The foundations of observing dark energy dynamics with the Wilkinson Microwave Anisotropy Probe
• Dark energy in Horndeski theories after GW170817: A review
• Early Dark Energy Cosmologies
• Smoothing Supernova Data to Reconstruct the Expansion History of the Universe and its Age
• The essence of quintessence and the cost of compression
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• How many dark energy parameters?
• The acceleration of the universe and the physics behind it
• The Paths of Quintessence
• Modelling redshift space distortions in hierarchical cosmologies
• Observational Constraints on Quintessence: Thawing, Tracker, and Scaling models
• Model Independent Reconstruction of the Expansion History of the Universe and the Properties of Dark Energy
• Growth factor parametrization and modified gravity
• Model independent analysis of dark energy I: Supernova fitting result
• Probing the curvature and dark energy
• Constraints on the sound speed of dark energy
• Dark energy in light of the early JWST observations: case for a negative cosmological constant?
• Observational constraints on the acceleration of the Universe
• Fables of reconstruction: controlling bias in the dark energy equation of state
• The phenomenological approach to modeling the dark energy
• Dynamical behavior of generic quintessence potentials: constraints on key dark energy observables
• Structure formation in inhomogeneous Early Dark Energy models
• Slow Roll Reconstruction: Constraints on Inflation from the 3 Year WMAP Dataset
• Spherical collapse model in dark energy cosmologies
• Tracking Dark Energy with the ISW effect: short and long-term predictions
• Falsifying Paradigms for Cosmic Acceleration
• Tracking quintessence by cosmic shear - Constraints from VIRMOS-Descart and CFHTLS and future prospects
• Constraints on barotropic dark energy models by a new phenomenological $q(z)$ parameterization
• Impact of three years of data from the Wilkinson Microwave Anisotropy Probe on cosmological models with dynamical dark energy
• Energy conditions and current acceleration of the universe
• Model selection as a science driver for dark energy surveys
• When did cosmic acceleration start? How fast was the transition?
• Measuring deviations from a cosmological constant: a field-space parameterization
• Condensate cosmology -- dark energy from dark matter
• Growth factor parametrization in curved space
• Constraints on a variable dark energy model with recent observations
• Cosmological constraints combining H(z), CMB shift and SNIa observational data
• A test of the CPL parameterization for rapid dark energy equation of state transitions
• Dark energy: investigation and modeling
• On the determination of curvature and dynamical Dark Energy
• Model-independent dark energy test with sigma_8 using results from the Wilkinson Microwave Anisotropy Probe
• Reconstructing the dark energy potential
• Variable Equation of State for Generalized Dark Energy Model
• Constraining Dark Energy Evolution with Gravitational Lensing by Large Scale Structures
• A new perspective on the relation between dark energy perturbations and the late-time ISW effect
• Cosmological evolution of general scalar fields in a brane-world cosmology
• The Evolution of Inverse Power Law Quintessence at Low Redshift
• The impact of dark energy perturbations on the growth index
• Simulations of Quintessential Cold Dark Matter: beyond the cosmological constant
• Gamma ray bursts as probes of neutrino mass, quantum gravity and dark energy
• Extending the Coyote emulator to dark energy models with standard $w_0$-$w_a$ parametrization of the equation of state
• Direct evidence of acceleration from distance modulus redshift graph
• Crossing Statistic: Bayesian interpretation, model selection and resolving dark energy parametrization problem
• Implications of an extended dark energy model with massive neutrinos
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski test and volume effect: galaxy two-point correlation function
• Dark energy and cosmic curvature: Monte-Carlo Markov Chain approach
• Bound on the time variation of the fine structure constant driven by quintessence
• New general parametrization of quintessence fields and its observational constraints
• Model independent constraints on mass-varying neutrino scenarios
• High-resolution temporal constraints on the dynamics of dark energy
• Can we ever distinguish between quintessence and a cosmological constant?
• Optimizing baryon acoustic oscillation surveys II: curvature, redshifts, and external datasets
• Can we test Dark Energy with Running Fundamental Constants ?
• Cosmic microwave background constraints on dark energy dynamics: analysis beyond the power spectrum
• Constraining the dark energy dynamics with the cosmic microwave background bispectrum
• Observational constraints on the dark energy density evolution
• Particle-Like Description in Quintessential Cosmology
• Parametrization of dark energy equation of state Revisited
• Dynamical systems analysis of phantom models
• A comprehensive parametrization approach for the Hubble parameter in scalar field dark energy models
• Parameterizing and Measuring Dark Energy Trajectories from Late-Inflatons
• Galaxy Clusters as a probe of early dark energy
• Halo collapse: virialization by shear and rotation in dynamical dark-energy models. Effects on weak-lensing peaks
• Properties and uncertainties of scalar field models of dark energy with barotropic equation of state
• Proper Matter Collineations of Plane Symmetric Spacetimes
• Evolving dark energy equation of state and CMB/LSS cross-correlation
• Testing dark energy using pairs of galaxies in redshift space
• Parametrization of Tachyon Field
• The arbitrariness of potentials in interacting quintessence models
• Probing Dark Energy with Supernovae : Bias from the time evolution of the equation of state
• On the effect of the degeneracy between w_0 and w_a
• Probing dark energy with the next generation X-ray surveys of galaxy clusters
• A simple parametrisation for coupled dark energy
• Universe Evolution in a 5D Ricci-flat Cosmology
• The tension on the cosmological parameters from different observational data
• Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity
• Complex Scalar Field Reheating and Primordial Black Hole production
• Dynamical dark energy models -- dynamical system approach
• Probing the cosmic acceleration history and the properties of dark energy from the ESSENCE supernova data with a model independent method
• Imprint of a Steep Equation of State in the growth of structure
• Spherical collapse of dark matter haloes in tidal gravitational fields
• The Dark Energy Cosmic Clock: A New Way to Parametrise the Equation of State
• Model selection and parameter estimation using the iterative smoothing method
• Reconstructing equation of state of dark energy with principal component analysis
• Beyond Two Parameters: Revisiting Dark Energy with the Latest Cosmic Probes
• Freezing Out Early Dark Energy
• Modelling Time-varying Dark Energy with Constraints from Latest Observations
• Can we distinguish early dark energy from a cosmological constant?
• Revisiting CPL with sign-switching density: To cross or not to cross the NECB
• The Nature of Dark Energy and Constraints on Its Hypothetical Constituents from Force Measurements
• Observational constraint on dynamical evolution of dark energy
• Effects of tidal gravitational fields in clustering dark energy models
• Reconstruction of the interaction term between dark matter and dark energy using SNe Ia
• Dark Energy with a Fine-toothed Comb
• Cosmological signatures of a Rapid Diluted Energy Density
• Analysis of recent type Ia supernova data based on evolving dark energy models
• Expressing the equation of state parameter in terms of the three dimensional cosmic shear
• Cosmological parameter constraints using phenomenological symbolic expressions: On the significance of symbolic expression complexity and accuracy
• Long-wavelength non-linear perturbations of a complex scalar field
• Fine-structure constant constraints on late-time dark energy transitions
• Reconstruction of the interaction term between dark matter and dark energy using SNe Ia, BAO, CMB, H(z) and X-ray gas mass fraction
• Implications to CMB from Model Independent evolution of w and Late Time Phase Transition
• Constraining late-time transitions in the dark energy equation of state
• Angular momentum - mass relation for dark matter haloes
• The reconstruction of dark energy with Ridge Regression Approach
• Reconstruction of 5D Cosmological Model From Recent Observations
• Cosmic expansion beyond $\Lambda$CDM: Investigating power-law and logarithmic corrections
• A Dynamic Dark Information Energy Consistent with Planck Data
• Tracker coupled quintessence
• Phenomenological aspects of dark energy dominated cosmologies
• Quinstant Dark Energy Predictions for Structure Formation
• Scalar-field quintessence by cosmic shear: CFHT data analysis and forecasts for DUNE
• Dark Energy Simulations
• Cylindrically Symmetric Scalar Field and its Lyapunov stability in General Relativity
• Dark Energy in Global Brane Universe
• Probing Time-Dependent Dark Energy with the Flux Power Spectrum of the Lyman $\alpha$ Forest
• Geometric formulation of $k$-essence and late-time acceleration
• Determining the expansion history of the universe with the three dimensional cosmic shear
• Beyond LCDM: Bits join the Dark Side
• Structure formation in a non-canonical scalar field model of clustering dark energy
• Cosmic evolution of scalar fields with multiple vacua: generalized DBI and quintessence
• Constraining Dark Energy Perturbations: the Role of Early Dark Energy