Cosmic expansion and structure formation in running vacuum cosmologies

Abstract

We investigate the dynamics of the FLRW flat cosmological models in which the vacuum energy varies with redshift. A particularly well motivated model of this type is the so-called quantum field vacuum, in which both kind of terms $H^2$ and constant appear in the effective dark energy density affecting the evolution of the main cosmological functions at the background and perturbation levels. Specifically, it turns out that the functional form of the quantum vacuum endows the vacuum energy of a mild dynamical evolution which could be observed nowadays and appears as dynamical dark energy. Interestingly, the low-energy behaviour is very close to the usual $\Lambda$CDM model, but it is by no means identical. Finally, within the framework of the quantum field vacuum we generalize the large scale structure properties, namely growth of matter perturbations, cluster number counts and spherical collapse model.

arXiv comment16 pages, 2 figures Invited paper for the Special Issue: "Fundamental Constants in Physics and Their Time Variation" (Modern Physics Letters A, Guest Editor Joan Solà)

References in corpus (20)

• Baryonic Features in the Matter Transfer Function
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Mass function of dark matter halos
• Using the Evolution of Clusters to Constrain Omega
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Cluster Abundance Constraints on Quintessence Models
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Cosmic Background Anisotropies in CDM Cosmology
• The halo mass function from the dark ages through the present day
• Cosmic Structure Growth and Dark Energy
• Testing LCDM with the Growth Function δ(a): Current Constraints
• Cosmological structure formation in a homogeneous dark energy background
• Observational constraints on viable f(R) parametrizations with geometrical and dynamical probes
• On virialization with dark energy
• Dark energy and the evolution of spherical overdensities
• Chasing the phantom: A closer look at Type Ia supernovae and the dark energy equation of state
• Virialization in Dark Energy Cosmology
• The spherical collapse model in time varying vacuum cosmologies
• Cluster Formation Rate in Models with Dark Energy
• Probing Dark Energy at Galactic and Cluster Scales

Cited by in corpus (8)

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• Running Vacuum Cosmological Models: Linear Scalar Perturbations
• The $R_{\mathrm{h}}=ct$ universe and quintessence
• Cosmic Acceleration from Varying Masses in Five Dimensions