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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
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för ingenjörsvetenskap och fysik (from 2013).ORCID-id: 0000-0002-0906-8808
2017 (engelsk)Inngår i: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 95, nr 8, artikkel-id 083517Artikkel i tidsskrift (Fagfellevurdert) 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.

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American Physical Society, 2017. Vol. 95, nr 8, artikkel-id 083517
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URN: urn:nbn:se:kau:diva-65520DOI: 10.1103/PhysRevD.95.083517ISI: 000399807000001OAI: oai:DiVA.org:kau-65520DiVA, id: diva2:1170732
Tilgjengelig fra: 2018-01-04 Laget: 2018-01-04 Sist oppdatert: 2018-12-19bibliografisk kontrollert

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