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Title: Cosmic infinity: a dynamical system approach

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-form models. 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.

Authors:
;  [1];  [2];  [3]
  1. Departamento de Física, Universidade da Beira Interior, Rua Marquês D'Ávila e Bolama, 6201-001 Covilhã (Portugal)
  2. Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao (Spain)
  3. Centro de Matemática e Aplicações da Universidade da Beira Interior (CMA-UBI), Rua Marquês D'Ávila e Bolama, 6201-001 Covilhã (Portugal)
Publication Date:
OSTI Identifier:
22679962
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 03; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASYMPTOTIC SOLUTIONS; COMPACTIFICATION; COSMOLOGY; INFLATIONARY UNIVERSE; NONLUMINOUS MATTER; UNIVERSE

Citation Formats

Bouhmadi-López, Mariam, Marto, João, Morais, João, and Silva, César M., E-mail: mbl@ubi.pt, E-mail: jmarto@ubi.pt, E-mail: jviegas001@ikasle.ehu.eus, E-mail: csilva@ubi.pt. Cosmic infinity: a dynamical system approach. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/03/042.
Bouhmadi-López, Mariam, Marto, João, Morais, João, & Silva, César M., E-mail: mbl@ubi.pt, E-mail: jmarto@ubi.pt, E-mail: jviegas001@ikasle.ehu.eus, E-mail: csilva@ubi.pt. Cosmic infinity: a dynamical system approach. United States. doi:10.1088/1475-7516/2017/03/042.
Bouhmadi-López, Mariam, Marto, João, Morais, João, and Silva, César M., E-mail: mbl@ubi.pt, E-mail: jmarto@ubi.pt, E-mail: jviegas001@ikasle.ehu.eus, E-mail: csilva@ubi.pt. Wed . "Cosmic infinity: a dynamical system approach". United States. doi:10.1088/1475-7516/2017/03/042.
@article{osti_22679962,
title = {Cosmic infinity: a dynamical system approach},
author = {Bouhmadi-López, Mariam and Marto, João and Morais, João and Silva, César M., E-mail: mbl@ubi.pt, E-mail: jmarto@ubi.pt, E-mail: jviegas001@ikasle.ehu.eus, E-mail: csilva@ubi.pt},
abstractNote = {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-form models. 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.},
doi = {10.1088/1475-7516/2017/03/042},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 03,
volume = 2017,
place = {United States},
year = {Wed Mar 01 00:00:00 EST 2017},
month = {Wed Mar 01 00:00:00 EST 2017}
}