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dc.contributor.authorPaliathanasis, Andronikosen
dc.contributor.authorTsamparlis, Michaelen
dc.contributor.authorBasilakos, Spyrosen
dc.contributor.authorBarrow, Johnen
dc.date.accessioned2015-09-02T11:43:31Z
dc.date.available2015-09-02T11:43:31Z
dc.date.issued2015-06-23en
dc.identifier.citationPhysical Review D 2015, 91, 123535, DOI:10.1103/PhysRevD.91.123535en
dc.identifier.issn1550-7998
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/250424
dc.description.abstractWe give a general method to find exact cosmological solutions for scalar-field dark energy in the presence of perfect fluids. We use the existence of invariant transformations for the Wheeler De Witt (WdW) equation. We show that the existence of a point transformation under which the WdW equation is invariant is equivalent to the existence of conservation laws for the field equations, which indicates the existence of analytical solutions. We extend previous work by providing exact solutions for the Hubble parameter and the effective dark-energy equation of state parameter for cosmologies containing a combination of perfect fluid and a scalar field whose self-interaction potential is a power of hyperbolic functions. We find solutions explicitly when the perfect fluid is radiation or cold dark matter and determine the effects of nonzero spatial curvature. Using the Planck 2015 data, we determine the evolution of the effective equation of state of the dark energy. Finally, we study the global dynamics using dimensionless variables. We find that if the current cosmological model is Liouville integrable (admits conservation laws) then there is a unique stable point which describes the de-Sitter phase of the universe.
dc.description.sponsorshipAP acknowledges financial support of INFN. JDB acknowledges support from the STFC.
dc.languageEnglishen
dc.language.isoenen
dc.publisherAPS
dc.rightsAttribution-NonCommercial 2.0 UK: England & Wales*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/2.0/uk/*
dc.subjectCosmologyen
dc.subjectDark energyen
dc.subjectScalar fieldsen
dc.subjectGroup invariantsen
dc.subjectDynamical analysisen
dc.titleDynamical analysis in scalar field cosmologyen
dc.typeArticle
dc.description.versionThis is the author accepted manuscript. The final version is available from APS via http://dx.doi.org/10.1103/PhysRevD.91.123535en
prism.number123535en
prism.publicationDate2015en
prism.publicationNamePhysical Review Den
prism.volume91en
dc.rioxxterms.funderSTFC
rioxxterms.versionofrecord10.1103/PhysRevD.91.123535en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-06-23en
dc.contributor.orcidBarrow, John [0000-0002-6083-9751]
dc.identifier.eissn1550-2368
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idSTFC (ST/L000636/1)
rioxxterms.freetoread.startdate2015-09-02


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Attribution-NonCommercial 2.0 UK: England & Wales
Except where otherwise noted, this item's licence is described as Attribution-NonCommercial 2.0 UK: England & Wales