Phase space analysis of a FRW cosmology in the Maxwell$-$Cattaneo approach

TL;DR

This paper performs a phase space analysis of a flat FRW cosmology with viscous dark matter governed by Maxwell-Cattaneo, revealing conditions that can explain cosmic acceleration and earlier eras.

Contribution

It introduces a novel phase space analysis incorporating Maxwell-Cattaneo bulk viscosity in dark matter within a flat FRW universe.

Findings

Bound on bulk viscosity consistent with cosmological constraints

Model can describe current acceleration and earlier cosmic eras

Provides insights into viscous effects on cosmic evolution

Abstract

In this work, we present a phase space analysis of a spatially flat Friedmann $-$Robertson$-$Walker (FRW) model in which the dark matter fluid is modeled as an imperfect fluid having bulk viscosity. The bulk viscosity is governed by the Maxwell$-$Cattaneo approach. The rest of the components of the model: radiation and dark energy are treated as perfect fluids. Imposing a complete cosmological dynamics and taking into account a recent constraint on the dark matter equation of state (EOS), we obtain bound on the bulk viscosity. The results point towards the possibility of describing not only the current speed up of the Universe but also the previous matter and radiation dominated eras.