The Djorgovski-Gurzadyan dark energy integral equation and the Hubble diagram

Abstract

We consider the observational aspects of the value of dark energy density from quantum vacuum fluctuations based initially on the Gurzadyan-Xue model. We reduce the Djorgovski-Gurzadyan integral equation to a differential equation for the co-moving horizon and then, by means of the obtained explicit form for the luminosity distance, we construct the Hubble diagram for two classes of observational samples. For supernova and gamma-ray burst data we show that this approach provides viable predictions for distances up to $z\simeq 9$, quantitatively at least as good as those provided by the lambda cold dark matter ($\Lambda$CDM) model. The Hubble parameter dependence $H(z)$ of the two models also reveals mutual crossing at $z=0.4018$, the interpretation of which is less evident.

arXiv commentA&A Lett. (in press), 4 pages, 5 figures

References in corpus (26)

• Dynamics of dark energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Tensions between the Early and the Late Universe
• Milky Way Cepheid Standards for Measuring Cosmic Distances and Application to Gaia DR2: Implications for the Hubble Constant
• The Ep,i - Eiso correlation in GRBs: updated observational status, re-analysis and main implications
• Dark energy two decades after: Observables, probes, consistency tests
• H0 Revisited
• Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated $E_{\mathrm{p},\mathrm{i}}$ - $E_{\mathrm{iso}}$ correlation
• The Spatial Clustering of ROSAT All-Sky Survey AGNs III. Expanded Sample and Comparison with Optical AGNs
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• Statistical classification of gamma-ray bursts based on the Amati relation
• A comprehensive statistical study on gamma-ray bursts
• On the estimation of the current value of the cosmological constant
• Are long gamma-ray bursts standard candles?
• Cosmological constant as a fundamental constant
• Cosmological models with Gurzadyan-Xue dark energy
• Dark Energy From Vacuum Fluctuations
• Physical constants and the Gurzadyan-Xue formula for the dark energy
• Hidden invariance in Gurzadyan-Xue cosmological models
• Hubble Diagram of Gamma-Rays Bursts calibrated with Gurzadyan-Xue Cosmology
• Invariants and solutions of Gurzadyan-Xue dark energy cosmological models
• Dynamics of perturbations in Gurzadyan-Xue cosmological models

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