Cosmological models from a dynamical systems perspective

TL;DR

This paper explores the analysis of cosmological models using dynamical systems theory, focusing on normalized variables, model representations, attractors, nonlinear dynamics, Weyl curvature, and numerical simulations.

Contribution

It introduces a comprehensive approach to studying cosmological models through dynamical systems, emphasizing normalization choices and complex behaviors.

Findings

Identification of past attractors in cosmological models

Insights into nonlinear dynamics near Friedmann-Lemaitre models

Role of Weyl curvature dominance in model evolution

Abstract

It is useful to study the space of all cosmological models from a dynamical systems perspective, that is, by formulating the Einstein field equations as a dynamical system using appropriately normalized variables. We will discuss various aspects of this work, the choices of normalization factor, multiple representations of models, the past attractor, nonlinear dynamics in close-to-Friedmann-Lemaitre models, Weyl curvature dominance, and numerical simulations.