Constraining the dark energy statefinder hierarchy in a kinematic approach

Abstract

In the present work, we have adopted a kinematic approach for constraining the extended null diagnostic of concordance cosmology, known as the statefinder hierarchy. A Taylor series expansion of the Hubble parameter has been utilised for the reconstruction. The coefficients of the Taylor series expansion are related to the kinematical parameters like the deceleration parameter, cosmological jerk parameter etc. The present values of the kinematical parameters are constrained from the estimated values of those series coefficients. A Markov chain Monte Carlo analysis has been carried out using the observational measurements of Hubble parameter at different redshifts, the distance modulus data of type Ia supernovae and baryon acoustic oscillation data to estimate the coefficient of series expansion of the Hubble parameter. The parameters in the statefinder diagnostic are related to the kinematical parameters. The statefinder diagnostic can form sets of hierarchy according to the order of the kinematical parameters. The present values of statefinder parameters have been constrained. The first set in the statefinder hierarchy allows $\Lambda$CDM to be well within the 1$\sigma$ confidence region, whereas the second set is in disagreement with the corresponding $\Lambda$CDM values at more than 1$\sigma$ level. Another dark energy diagnostic, namely the $Om$-parameters, is found to be consistent with concordance cosmology.

18 pages, 7 figures. Accepted for publication in JCAP

References in corpus (59)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• The NumPy array: a structure for efficient numerical computation
• Planck 2015 results. XIII. Cosmological parameters
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological Constant - the Weight of the Vacuum
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Case for a Positive Cosmological Lambda-term
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Cosmological Constant
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Statefinder -- a new geometrical diagnostic of dark energy
• Constraints on the redshift dependence of the dark energy potential
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Reconstructing Dark Energy
• Two new diagnostics of dark energy
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• Cosmography: Cosmology without the Einstein equations
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• A kinematical approach to dark energy studies
• New constraints on cosmological parameters and neutrino properties using the expansion rate of the Universe to z~1.75
• Gaussian Process Cosmography
• Cosmography and constraints on the equation of state of the Universe in various parametrizations
• Nonparametric Dark Energy Reconstruction from Supernova Data
• The Hubble series: Convergence properties and redshift variables
• On the theory and applications of modern cosmography
• Nonparametric Reconstruction of the Dark Energy Equation of State
• A litmus test for Lambda
• Dark Energy Constraints from Weak Lensing Cross-Correlation Cosmography
• An improved model-independent assessment of the late-time cosmic expansion
• Statefinders, higher-order energy conditions and sudden future singularities
• Constraints on dark energy dynamics and spatial curvature from Hubble parameter and baryon acoustic oscillation data
• Nonparametric Reconstruction of the Dark Energy Equation of State from Diverse Data Sets
• Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
• Investigating dark energy experiments with principal components
• Cosmic Jerk, Snap and Beyond
• Direct reconstruction of dark energy
• Observational constraints on the tilted spatially-flat and the untilted nonflat $\varphi$CDM dynamical dark energy inflation models
• The Statefinder hierarchy: An extended null diagnostic for concordance cosmology
• A new null diagnostic customized for reconstructing the properties of dark energy from BAO data
• Constraints on non-flat cosmologies with massive neutrinos after Planck 2015
• In search of the dark matter dark energy interaction: a kinematic approach
• Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations
• A parametric reconstruction of the cosmological jerk from diverse observational data sets
• Is cosmography a useful tool for testing cosmology?
• Hubble parameter reconstruction from a principal component analysis: minimizing the bias
• Updated observational constraints on quintessence dark energy models
• Exploring scalar field dynamics with Gaussian processes
• Variation of fundamental parameters and dark energy. A principal component approach
• A statefinder luminosity distance formula in varying speed of light cosmology

Cited by in corpus (12)

• Extended Gravity Cosmography
• Baryon acoustic oscillation, Hubble parameter, and angular size measurement constraints on the Hubble constant, dark energy dynamics, and spatial curvature
• Non-parametric reconstruction of the cosmological \textit{jerk} parameter
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Exploring the Sharma-Mittal HDE models with different diagnostic tools
• Transit String Dark Energy Models in $f(Q)$ Gravity
• First study of reionization in tilted flat and untilted non-flat dynamical dark energy inflation models
• Reconstruction of late-time cosmology using Principal Component Analysis
• Reference level of the vacuum energy density of the Universe and astrophysical data
• Cosmic Acceleration in an Extended Brans-Dicke-Higgs Theory
• Mimicking the $\Lambda$CDM Universe through inhomogeneous space-time
• Kinematical models of latetime cosmology and the statefinder diagnostic