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arXiv · 1611.03100

Cosmic infinity: A dynamical system approach

Mariam Bouhmadi-López·João Marto·João Morais·César M. Silva
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Abstract

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.

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Mariam Bouhmadi-López, João Marto, João Morais, César M. Silva. 2016-11-09. Cosmic infinity: A dynamical system approach. https://doi.org/10.1088/1475-7516%2F2017%2F03%2F042

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