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Advisor(s)
Abstract(s)
Dynamical system techniques are extremely useful to study cosmology. It turns
out that in most of the cases, we deal with finite isolated fixed points corresponding to a given
cosmological epoch. However, it is equally important to analyse the asymptotic behaviour
of the universe. On this paper, we show how this can be carried out for 3-forms model.
In fact, we show that there are fixed points at infinity mainly by introducing appropriate
compactifications and defining a new time variable that washes away any potential divergence
of the system. The richness of 3-form models allows us as well to identify normally hyperbolic
non-isolated fixed points. We apply this analysis to three physically interesting situations:
(i) a pre-inflationary era; (ii) an inflationary era; (iii) the late-time dark matter/dark energy
epoch.
Description
Keywords
Cosmology Dynamical system
Citation
Mariam Bouhmadi-López et al JCAP03(2017)042