Constraining dark energy with Hubble parameter measurements: an analysis including future redshift-drift observations

Abstract

Dark energy affects the Hubble expansion rate (namely, the expansion history) $H(z)$ by an integral over $w(z)$. However, the usual observables are the luminosity distances or the angular diameter distances, which measure the distance-redshift relation. Actually, dark energy affects the distances (and the growth factor) by a further integration over functions of $H(z)$. Thus, the direct measurements of the Hubble parameter $H(z)$ at different redshifts are of great importance for constraining the properties of dark energy. In this paper, we show how the typical dark energy models, for example, the $\Lambda$CDM, $w$CDM, CPL, and holographic dark energy (HDE) models, can be constrained by the current direct measurements of $H(z)$ (31 data in total, covering the redshift range of $z\in [0.07,2.34]$). In fact, the future redshift-drift observations (also referred to as the Sandage-Loeb test) can also directly measure $H(z)$ at higher redshifts, covering the range of $z\in [2,5]$. We thus discuss what role the redshift-drift observations can play in constraining dark energy with the Hubble parameter measurements. We show that the constraints on dark energy can be improved greatly with the $H(z)$ data from only a 10-year observation of redshift drift.

20 pages, 5 figures; final version published in EPJC

References in corpus (26)

• Dynamics of dark energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark Energy and the Accelerating Universe
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Reconstructing Dark Energy
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Model independent evidence for dark energy evolution from Baryon Acoustic Oscillations
• Holographic dark energy models: A comparison from the latest observational data
• Cosmic dynamics in the era of Extremely Large Telescopes
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• Exploring the Dark Energy Redshift Desert with the Sandage-Loeb Test
• The time evolution of cosmological redshift as a test of dark energy
• Impacts of dark energy on weighing neutrinos after Planck 2015
• Neutrinos in the holographic dark energy model: constraints from latest measurements of expansion history and growth of structure
• Model-independent determination of curvature parameter by using $H(z)$ and $D_A(z)$ data pair from BAO measurement
• Revisiting the holographic dark energy in a non-flat universe: alternative model and cosmological parameter constraints
• Exploring holographic dark energy model with Sandage-Loeb test
• Strong gravitational lensing constraints on holographic dark energy
• Parameter estimation with Sandage-Loeb test
• Utility of observational Hubble parameter data on dark energy evolution
• Quantifying the impact of future Sandage-Loeb test data on dark energy constraints
• Constraints on the exponential $f(R)$ model from latest Hubble parameter measurements
• Observational constraints on unified dark matter including Hubble parameter data
• Are Decaying Magnetic Fields Above Active Regions Related to Coronal Mass Ejection Onset?
• Comment on the claimed radial BAO detection by Gaztanaga et al

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• A GREAT model comparison against the cosmological constant
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• No evidence for the evolution of mass density power-law index $\gamma$ from strong gravitational lensing observation
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• Revisit of constraints on dark energy with Hubble parameter measurements including future redshift drift observations
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