Qualitative study of perfect-fluid Friedmann-Lema\^{\i}tre-Robertson-Walker models with a cosmological constant
Physics Education
2012-09-19 v1 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1112.4319,
title = {Qualitative study of perfect-fluid Friedmann-Lema\^{\i}tre-Robertson-Walker models with a cosmological constant},
author = {Sebastiano Sonego and Vittorino Talamini},
journal= {arXiv preprint arXiv:1112.4319},
year = {2012}
}
Comments
13pages, 14 figures