Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations

Abstract

Compared with the plentiful researches of the Hubble parameter and deceleration factor, the third time derivative of the scale factor $a(t)$ in the FRW cosmology, namely, the jerk parameter $j$ still lacks attention. In order to study the properties of $j$, we propose several kinds of parameterizations of $j(z)$ as a function of the redshift $z$. By setting the standard $\Lambda$CDM model as the fiducial model, we constrain the jerk models with the observational Hubble parameter data (OHD) and Type Ia Supernovae (SNe) observations. We find that the perturbation of $j(z)$ favors a value of nearly zero and the $\Lambda$CDM is well accommodated by the jerk reconstruction. We also compare the powers of OHD and SNe in constraining the jerk models in detail, and find that the newly released OHD measurement at $z=2.3$ can improve the constraint significantly, even tighter than the SNe one. Furthermore, we analyze the jerk models by calculating the Hubble parameter, equation of state, the deceleration factor and $Om(z)$ diagnostic. Our results show that the universe is indeed undergoing an accelerated expansion phase following the matter-dominated one, which is consistent with the standard model by observations.

18 pages, 11 figures, 4 table, version published in PLB

References in corpus (26)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Two new diagnostics of dark energy
• Carnegie Hubble Program: A Mid-Infrared Calibration of the Hubble Constant
• WMAP constraints on low redshift evolution of dark energy
• A kinematical approach to dark energy studies
• Dynamics of interacting dark energy
• Cosmography of f(R) gravity
• Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy
• Kinematic Constraints to the Transition Redshift from SNe Ia Union Data
• Power of Observational Hubble Parameter Data: a Figure of Merit Exploration
• Three thermodynamically-based parametrizations of the deceleration parameter
• Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution
• Constraints on holographic dark energy models using the differential ages of passively evolving galaxies
• Cosmic Jerk, Snap and Beyond
• Bayesian Analysis and Constraints on Kinematic Models from Union SNIa
• Supernova Ia and Galaxy Cluster Gas Mass Fraction Constraints on Dark Energy
• Interacting Energy Components and Observational $H(z)$ Data
• Cosmological constraints combining H(z), CMB shift and SNIa observational data
• The cosmic jerk parameter in f(R) gravity
• The LambdaCDM model on the lead -- a Bayesian cosmological models comparison
• Constraints on Kinematic Model from Recent Cosmic Observations: SN Ia, BAO and Observational Hubble Data
• Natural Phantom Dark Energy, Wiggling Hubble Parameter $H(z)$ and Direct $H(z)$ Data
• Principal components of dark energy with SNLS supernovae: the effects of systematic errors
• Observational constraints on unified dark matter including Hubble parameter data
• Optimized supernova constraints on dark energy evolution

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• Late-time acceleration with a scalar field source: Observational constraints and statefinder diagnostics
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• Smooth deformations and cosmic statefinders
• Cosmological models of generalized ghost pilgrim dark energy (GGPDE) in the gravitation theory of Saez-Ballester
• On the uniqueness of $\Lambda$CDM-like evolution for homogeneous and isotropic cosmology in General Relativity
• Implications on the cosmic coincidence by a dynamical extrinsic curvature
• Cosmic Acceleration in a Model of Fourth Order Gravity
• An exact solution of the observable universe in Bianchi V space-time
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