A model independent parametrization of the late time cosmic acceleration: constraints on the parameters from recent observations

Abstract

In this work, we have considered a model independent approach to study the nature of the late time cosmic acceleration. We have used the Pade approximation to parametrize the comoving distance. Consequently, from this comoving distance, we derive a parameterization for the Hubble parameter. Our parametrization is completely analytic and valid for late-time and matter dominated eras only. This parametrization possesses sub-percentage accuracy compared to any arbitrary cosmological model or parametrization up to matter dominated era. Using this parametrization, we put constraints on the parameters from recent low redshift cosmological observations including Planck 2018 distance priors. Our results show that the $\Lambda$CDM model is 1$\sigma$ to 2$\sigma$ away for lower redshifts. We find that the phantom crossing is allowed by all the combinations of dataset considered. We also find that the dynamical dark energy models are preferable at lower redshifts. Our study also shows that, at lower redshifts ($z<0.5$), phantom models are allowed at almost 1$\sigma$ confidence level.

arXiv commentSome sections have been elaborately written, some extra figures have been included. The main context remains the same

References in corpus (52)

• 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
• Planck 2015 results. XIII. Cosmological parameters
• Dynamics of dark energy
• Modified Gravity and Cosmology
• f(R) theories
• The Case for a Positive Cosmological Lambda-term
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• A 2.4% Determination of the Local Value of the Hubble Constant
• The galileon as a local modification of gravity
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Cosmological Tracking Solutions
• Massive Gravity
• Theoretical Aspects of Massive Gravity
• Extra force in $f(R)$ modified theories of gravity
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• Quintessence: A Review
• H0LiCOW V. New COSMOGRAIL time delays of HE0435-1223: $H_0$ to 3.8% precision from strong lensing in a flat $\Lambda$CDM model
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: First measurement of Baryon Acoustic Oscillations between redshift 0.8 and 2.2
• Galileon Cosmology
• Model independent evidence for dark energy evolution from Baryon Acoustic Oscillations
• Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$
• A parametric model for dark energy
• Type Ia Supernova Distances at z > 1.5 from the Hubble Space Telescope Multi-Cycle Treasury Programs: The Early Expansion Rate
• $H_0$ from cosmic chronometers and Type Ia supernovae, with Gaussian Processes and the novel Weighted Polynomial Regression method
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• Thawing quintessence with a nearly flat potential
• Distance Priors from Planck Final Release
• The Lagrangian description of perfect fluids and modified gravity with an extra force
• Self-Accelerating Universe in Galileon Cosmology
• Model independent constraints on dark energy evolution from low-redshift observations
• The Paths of Quintessence
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Do f(R) theories matter?
• The Megamaser Cosmology Project: IV. A Direct Measurement of the Hubble Constant from UGC 3789
• Galileons in the Sky
• The Megamaser Cosmology Project VIII. A Geometric Distance to NGC 5765b
• Cosmological Applications of Pade Approximant
• The Megamaser Cosmology Project. V. An Angular Diameter Distance to NGC 6264 at 140 Mpc
• Slow-Roll Thawing Quintessence
• Rational approximations of $f(R)$ cosmography through Padé polynomials
• Model-independent reconstruction of the linear anisotropic stress $\eta$
• The Price of Shifting the Hubble Constant
• Bayesian Evidences for Dark Energy models in light of current obsevational data
• Dark energy reconstruction based on the PADE approximation; an expansion around the $\Lambda$CDM
• Thawing Versus. Tracker Behaviour: Observational Evidence
• Imprint of thawing scalar fields on large scale galaxy overdensity

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