Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Global dynamics and inflationary center manifold and slow-roll approximants
Technical University of Lisbon, Portugal.
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för ingenjörsvetenskap och fysik. (Fysik)ORCID-id: 0000-0002-0906-8808
2015 (Engelska)Ingår i: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 56, nr 1, artikel-id 012502Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

We consider the familiar problem of a minimally coupled scalar field with quadratic potential in flat Friedmann-Lemaître-Robertson-Walker cosmology to illustrate a number of techniques and tools, which can be applied to a wide range of scalar field potentials and problems in, e.g., modified gravity. We present a global and regular dynamical systems description that yields a global understanding of the solution space, including asymptotic features. We introduce dynamical systems techniques such as center manifold expansions and use Padé approximants to obtain improved approximations for the “attractor solution” at early times. We also show that future asymptotic behavior is associated with a limit cycle, which shows that manifest self-similarity is asymptotically broken toward the future and gives approximate expressions for this behavior. We then combine these results to obtain global approximations for the attractor solution, which, e.g., might be used in the context of global measures. In addition, we elucidate the connection between slow-roll based approximations and the attractor solution, and compare these approximations with the center manifold based approximants.

Ort, förlag, år, upplaga, sidor
American Institute of Physics (AIP), 2015. Vol. 56, nr 1, artikel-id 012502
Nyckelord [en]
Cosmology, scalar fields, attractors
Nationell ämneskategori
Naturvetenskap Fysik
Forskningsämne
Fysik
Identifikatorer
URN: urn:nbn:se:kau:diva-35243DOI: 10.1063/1.4906081ISI: 000349019000022OAI: oai:DiVA.org:kau-35243DiVA, id: diva2:789308
Tillgänglig från: 2015-02-18 Skapad: 2015-02-18 Senast uppdaterad: 2017-09-11Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Övriga länkar

Förlagets fulltext

Personposter BETA

Uggla, Claes

Sök vidare i DiVA

Av författaren/redaktören
Uggla, Claes
Av organisationen
Institutionen för ingenjörsvetenskap och fysik
I samma tidskrift
Journal of Mathematical Physics
NaturvetenskapFysik

Sök vidare utanför DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetricpoäng

doi
urn-nbn
Totalt: 163 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf