Qualitative study of perfect-fluid Friedmann-Lemaître-Robertson-Walker models with a cosmological constant

Details Qualitative study of perfect-fluid Friedmann-Lemaître-Robertson-Walker models with a cosmological constant Qualitative study of perfect-fluid Friedmann-Lemaître-Robertson-Walker models with a cosmological constant

2011-12-19

arxiv.org/abs/1112.4319v1

Physics

Physics Education

13pages, 14 figures

Scientific paper

The evolution of spatially homogeneous and isotropic cosmological models containing a perfect fluid with equation of state p=w\rho\ and a cosmological constant \Lambda\ is investigated for arbitrary combinations of w and \Lambda, 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.

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