Cosmological models from a dynamical systems perspective

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.

This paper is based on a talk given at the Miami Waves Conference in January 2004

References in corpus (2)

• Bianchi Cosmologies: A Tale of Two Tilted fluids
• Matter and dynamics in closed cosmologies

Cited by in corpus (16)

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• Compactifying the state space for alternative theories of gravity
• Scalar field cosmology in phase space
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• A dynamical systems study of the inhomogeneous Lambda-CDM model
• Phase Space of Anisotropic $R^n$ Cosmologies
• Asymptotic behavior of Cardassian cosmologies with exponential potentials
• Covariant and gauge-invariant linear scalar perturbations in multiple scalar field cosmologies
• Qualitative analysis and characterization of two cosmologies including scalar fields
• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• Dynamical analysis approaches in spatially curved FRW spacetimes