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Inflationary alpha-attractor cosmology: A global dynamical systems perspective
Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Portugal.ORCID iD: 0000-0002-5753-8333
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics (from 2013).ORCID iD: 0000-0002-0906-8808
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
American Physical Society, 2017. Vol. 95, no 8, article id 083517
National Category
Mathematics
Research subject
Physics
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: 2018-12-19Bibliographically approved

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Uggla, Claes

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