Qualitative study of perfect-fluid Friedmann-Lema\^ıtre-Robertson-Walker models with a cosmological constant

Abstract

The evolution of spatially homogeneous and isotropic cosmological models containing a perfect fluid with equation of state p=wρ and a cosmological constant Λ is investigated for arbitrary combinations of w and Λ, using standard qualitative analysis borrowed from classical mechanics. This approach allows one to consider a large variety of situations, appreciating similarities and differences between models, without solving the Friedmann equation, and is suitable for an elementary course in cosmology.

13pages, 14 figures

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Cited by in corpus (12)

• Friedmann's Equations in All Dimensions and Chebyshev's Theorem
• Explicit Integration of Friedmann's Equation with Nonlinear Equations of State
• Introduction to the application of the dynamical systems theory in the study of the dynamics of cosmological models of dark energy
• Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory
• Friedmann-Lemaitre Cosmologies via Roulettes and Other Analytic Methods
• Scalar field cosmology in phase space
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Analogy between equilibrium beach profiles and closed universes
• Modern Cosmology: Interactive Computer Simulations that use Recent Observational Surveys
• Cosmological analogies, Lagrangians, and symmetries for convective-radiative heat transfer
• Cosmological histories from the Friedmann equation: The universe as a particle
• Non-singular non-flat universes