Running vacuum model versus $\Lambda$CDM -- a Bayesian analysis

Abstract

We study the running vacuum model in which the vaccum energy density depends on square of Hubble parameter in comparison with the $\Lambda$CDM model. In this work, the Bayesian inference method is employed to test against the standard $\Lambda$CDM model to appraise the relative significance of our model, using the combined data sets, Pantheon+CMB+BAO and Pantheon+CMB+BAO+Hubble data. The model parameters and the corresponding errors are estimated from the marginal likelihood function of the model parameters. Marginalizing over all model parameters with suitable prior, we have obtained the Bayes factor as the ratio of Bayesian evidence of our model and the $\Lambda$CDM model. The analysis based on Jeffrey's scale of bayesian inference shows that the evidence of our model against the $\Lambda$CDM model is weak for both data combinations. Even though the running vacuum model gives a good account of the evolution of the universe, it is not superior to the $\Lambda$CDM model.

arXiv comment14 pages and 5 figures

References in corpus (21)

• The Cosmological Constant and Dark Energy
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Dark Energy and the Accelerating Universe
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Dynamical dark energy in light of the latest observations
• First evidence of running cosmic vacuum: challenging the concordance model
• Planck 2018 results. VI. Cosmological parameters
• Dark energy: a quantum fossil from the inflationary Universe?
• Expansion History with Decaying Vacuum: A Complete Cosmological Scenario
• Is the Jeffreys' scale a reliable tool for Bayesian model comparison in cosmology?
• Constraints on dark energy dynamics and spatial curvature from Hubble parameter and baryon acoustic oscillation data
• Observational Evidence of the Accelerated Expansion of the Universe
• Cosmology and the Standard Model
• Cosmological parameter inference with Bayesian statistics
• Comparison of cosmological models using Bayesian theory
• Fundamental Constants in Physics and Their Time Variation
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• Constraints on a special running vacuum model
• Bayesian analysis of running holographic Ricci dark energy