Late-time evolution of cosmological models with fluids obeying a Shan-Chen-like equation of state

Abstract

Classical as well as quantum features of the late-time evolution of cosmological models with fluids obeying a Shan-Chen-like equation of state are studied. The latter is of the type $p=w_{\mathrm{eff}}(\rho )\rho$, and has been used in previous works to describe, e.g., a possible scenario for the growth of the dark-energy content of the present Universe. At the classical level the fluid dynamics in a spatially flat Friedmann-Robertson-Walker background implies the existence of two possible equilibrium solutions depending on the model parameters, associated with (asymptotic) finite pressure and energy density. We show that no future cosmological singularity is developed during the evolution for this specific model. The corresponding quantum effects in the late-time behavior of the system are also investigated within the framework of quantum geometrodynamics, i.e., by solving the (minisuperspace) Wheeler-DeWitt equation in the Born-Oppenheimer approximation, constructing wave-packets and analyzing their behavior.

18 pages, 6 figures, revtex4 macros; to appear in PRD

References in corpus (4)

• Quantum phantom cosmology
• Quantum cosmology with big-brake singularity
• On the quantum fate of singularities in a dark-energy dominated universe
• Dark energy from cosmological fluids obeying a Shan-Chen non-ideal equation of state

Cited by in corpus (5)

• Phase space analysis and singularity classification for linearly interacting dark energy models
• Classical and quantum cosmology of Born-Infeld type models
• Cosmological evolution with quadratic gravity and nonideal fluids
• Shan--Chen interacting vacuum cosmology
• The interacting vacuum and tensions: a comparison of theoretical models