Number Counts and Dynamical Vacuum Cosmologies

Abstract

We study non-linear structure formation in an interacting model of the dark sector of the Universe in which the dark energy density decays linearly with the Hubble parameter, ${\rho }_{\Lambda }\propto H$, leading to a constant-rate creation of cold dark matter. We derive all relevant expressions to calculate the mass function and the cluster number density using the Sheth-Torman formalism and show that the effect of the interaction process is to increase the number of bound structures of large masses ($M\gtrsim 10^{14}{M}_{\odot }{h}^{-1}$) when compared to the standard $\Lambda$CDM model. Since these models are not reducible to each other, this number counts signature can in principle be tested in future surveys.

6 pages, 3 figures. Accepted for publication in MNRAS

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• Growth of structure in interacting vacuum cosmologies
• J-PAS: forecasts on interacting vacuum energy models
• Large scale structure and ISW effect in decaying vacuum cosmology
• Constraints from growth-rate data on some coupled dark energy models mimicking a $\Lambda CDM$ expansion
• Can the cosmological dark sector be modeled by a single scalar field?
• A coupled vacuum energy model producing endless alternated phases of accelerated and decelerated expansion
• The cosmological dark sector as a scalar $\sigma$-meson field
• Degeneracy between warm and coupled cold dark matter: A clarifying note