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Inflationary alpha-attractor cosmology: A global dynamical systems perspective
Univ Lisbon, Inst Super Tecn, Ctr Math Anal Geometry & Dynam Syst, Av Rovisco Pais, P-1049001 Lisbon, Portugal..ORCID iD: 0000-0002-5753-8333
Karlstad Univ, Dept Phys, Av Univ Gatan 1-2, S-65188 Karlstad, Sweden..
2017 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 95, no 8, article id 083517Article in journal (Refereed) Published
Abstract [en]

We study flat Friedmann-Lemaitre-Robertson-Walker alpha-attractor E- and T-models by introducing a dynamical systems framework that yields regularized unconstrained field equations on two-dimensional compact state spaces. This results in both illustrative figures and a complete description of the entire solution spaces of these models, including asymptotics. In particular, it is shown that observational viability, which requires a sufficient number of e-folds, is associated with a particular solution given by a one-dimensional center manifold of a past asymptotic de Sitter state, where the center manifold structure also explains why nearby solutions are attracted to this "inflationary attractor solution." A center manifold expansion yields a description of the inflationary regime with arbitrary analytic accuracy, where the slow-roll approximation asymptotically describes the tangency condition of the center manifold at the asymptotic de Sitter state.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2017. Vol. 95, no 8, article id 083517
Identifiers
URN: urn:nbn:se:kau:diva-65520DOI: 10.1103/PhysRevD.95.083517ISI: 000399807000001OAI: oai:DiVA.org:kau-65520DiVA, id: diva2:1170732
Available from: 2018-01-04 Created: 2018-01-04 Last updated: 2018-01-04

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Alho, Artur
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