Singularities and soft-Big Bang in a viscous ?CDM model

Cruz, Norman; Gonzalez, Esteban; Jovel, Jose

Abstract

In this paper we explore the different types of singularities that arise in the ?CDM model when dissipative processes are considered, in the framework of the Eckart's theory. In particular, we study the late-time behavior of ?CDM model with viscous cold dark matter (CDM) and an early-time viscous radiation domination era with cosmological constant (CC). The fluids are described by the barotropic equation of state (EoS) p = (gamma - 1)p, where p is the equilibrium pressure of the fluid, p their energy density, and gamma is the barotropic index. We explore two particular cases for the bulk viscosity xi, a constant bulk viscosity xi = xi 0, and a bulk viscosity proportional to the energy density of the fluid xi = xi 0p. Due to some previous investigations that have explored how to describe the behavior of the Universe with a negative CC, we extend our analysis to this case. We found that future singularities like Big Rip are allowed but without having a phantom EoS associated with the DE fluid. Big Crunch singularities also appears when a negative CC is present, but also de Sitter and even Big Rip types are allowed due to the negative pressure of the viscosity, which opens the possibility of an accelerated expansion in anti-de Sitter (AdS) cosmologies. We also discuss a very particular solution without Big Bang singularity that arises in the early-time radiation dominant era of our model known as soft-Big Bang.

Más información

Título según WOS: Singularities and soft-Big Bang in a viscous ?CDM model
Título de la Revista: PHYSICAL REVIEW D
Volumen: 105
Número: 2
Editorial: AMER PHYSICAL SOC
Fecha de publicación: 2022
DOI:

10.1103/PHYSREVD.105.024047

Notas: ISI