Transition from decelerated to accelerated cosmic expansion in braneworld universes

TL;DR

This paper explores braneworld cosmological models where vacuum energy decreases over time, explaining the transition from decelerated to accelerated expansion consistent with observations, and discusses future universe evolution scenarios.

Contribution

It introduces a class of models with inverse power law vacuum energy decay that fit observational data and analyzes their implications for cosmic acceleration and future evolution.

Findings

Transition redshift z ≈ 0.48 ± 0.20 for acceleration onset

Lower bound on current deceleration parameter q > -0.55 for Omega=0.3

Future universe fate depends on when vacuum energy dominates

Abstract

Braneworld theory provides a natural setting to treat, at a classical level, the cosmological effects of vacuum energy. Non-static extra dimensions can generally lead to a variable vacuum energy, which in turn may explain the present accelerated cosmic expansion. We concentrate our attention in models where the vacuum energy decreases as an inverse power law of the scale factor. These models agree with the observed accelerating universe, while fitting simultaneously the observational data for the density and deceleration parameter. The redshift at which the vacuum energy can start to dominate depends on the mass density of ordinary matter. For Omega = 0.3, the transition from decelerated to accelerated cosmic expansion occurs at z approx 0.48 +/- 0.20, which is compatible with SNe data. We set a lower bound on the deceleration parameter today, namely q > - 1 + 3 Omega/2, i.e., q > - 0.55 for Omega = 0.3. The future evolution of the universe crucially depends on the time when vacuum starts to dominate over ordinary matter. If it dominates only recently, at an epoch z < 0.64, then the universe is accelerating today and will continue that way forever. If vacuum dominates earlier, at z > 0.64, then the deceleration comes back and the universe recollapses at some point in the distant future. In the first case, quintessence and Cardassian expansion can be formally interpreted as the low energy limit of our model, although they are entirely different in philosophy. In the second case there is no correspondence between these models and ours.