Homogeneous cosmologies with cosmological constant

TL;DR

This paper investigates the future evolution of spatially homogeneous cosmological models with a positive cosmological constant, focusing on whether tilted models can be de Sitter-like in the future using dynamical systems methods.

Contribution

It introduces a dynamical systems analysis of homogeneous cosmologies with a positive cosmological constant, exploring the conditions for de Sitter-like future states in tilted models.

Findings

Tilted models can evolve towards de Sitter-like states.

Dynamical systems methods effectively analyze cosmological evolution.

Conditions for future de Sitter-like behavior are identified.

Abstract

Spatially homogeneous cosmological models with a positive cosmological constant are investigated, using dynamical systems methods. We focus on the future evolution of these models. In particular, we address the question whether there are models within this class that are de Sitter-like in the future, but are tilted.