Limits of isotropic universes with interacting fluids

TL;DR

This paper investigates the long-term behavior and singularities of isotropic universes with two interacting fluids, analyzing how energy exchange influences their evolution and potential finite-time singularities.

Contribution

It introduces a detailed analysis of asymptotic limits and singularities in cosmologies with interacting fluids, expanding understanding of their dynamical behaviors.

Findings

Identification of various asymptotic regimes

Characterization of finite-time singularities

Behavior of solutions near blow-up regimes

Abstract

We find various asymptotic limits of universes containing two interacting fluids which interact and exchange energy. We study the finite-time singularities that may develop in these cosmologies and obtain the asymptotic behaviours of the solutions near such blow up regimes.