Statistical analysis with cosmic-expansion-rate measurements and two-point diagnostics

Abstract

Direct measurements of Hubble parameters $H(z)$ are very useful for cosmological model parameters inference. Based on them, Sahni, Shafieloo and Starobinski introduced a two-point diagnostic $Om{h}^2(z_i,z_j)$ as an interesting tool for testing the validity of the $\Lambda$CDM model. Applying this test they found a tension between observations and predictions of the $\Lambda$CDM model. We use the most comprehensive compilation $H(z)$ data from baryon acoustic oscillations (BAO) and differential ages (DA) of passively evolving galaxies to study cosmological models using the Hubble parameters itself and to distinguish whether $\Lambda$CDM model is consistent with the observational data with statistical analysis of the corresponding $Om{h}^2(z_i,z_j)$ two-point diagnostics. Our results show that presently available $H(z)$ data significantly improve the constraints on cosmological parameters. The corresponding statistical $Om{h}^2(z_i,z_j)$ two-point diagnostics seems to prefer the quintessence with $w>-1$ over the $\Lambda$CDM model. Better and more accurate prior knowledge of the Hubble constant, will considerably improve the performance of the statistical $Om{h}^2(z_i,z_j)$ method.

arXiv comment8 pages, 4 figures, 3 tables

References in corpus (34)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2013 results. XVI. Cosmological parameters
• Modified Gravity and Cosmology
• 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
• Dark Energy and the Accelerating Universe
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• 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
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Two new diagnostics of dark energy
• Constraints on the equation of state of dark energy and the Hubble constant from stellar ages and the CMB
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Model independent evidence for dark energy evolution from Baryon Acoustic Oscillations
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring D_A and H at z=0.57 from the Baryon Acoustic Peak in the Data Release 9 Spectroscopic Galaxy Sample
• Cosmology with Strong Lensing Systems
• Constraints on cosmological models from strong gravitational lensing systems
• Observational Challenges for the Standard FLRW Model
• Ultra-compact structure in intermediate-luminosity radio quasars: building a sample of standard cosmological rulers and improving the dark energy constraints up to $z\sim 3$
• Measuring the speed of light with ultra-compact radio quasars
• Is there evidence for dark energy evolution?
• What are $Om{h}^2(z_1,z_2)$ and $Om(z_1,z_2)$ diagnostics telling us in light of $H(z)$ data?
• A new null diagnostic customized for reconstructing the properties of dark energy from BAO data
• Testing the phenomenological interacting dark energy with observational $H(z)$ data
• Interaction between dark energy and dark matter: observational constraints from OHD, BAO, CMB and SNe Ia
• Constraints on a $\varphi$CDM model from strong gravitational lensing and updated Hubble parameter measurements
• Observational Constraints on Interacting Dark Matter Model Without Dark Energy
• Analyzing H(z) Data using Two-point Diagnostics

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