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Reconstructions of the dark-energy equation of state and the inflationary potential.

cam.issuedOnline2018-06-19
dc.contributor.authorBarrow, John D
dc.contributor.authorPaliathanasis, Andronikos
dc.contributor.orcidPaliathanasis, Andronikos [0000-0002-9966-5517]
dc.date.accessioned2018-10-10T05:20:19Z
dc.date.available2018-10-10T05:20:19Z
dc.date.issued2018
dc.description.abstractWe use a mathematical approach based on the constraints systems in order to reconstruct the equation of state and the inflationary potential for the inflaton field from the observed spectral indices for the density perturbations n s and the tensor to scalar ratio r. From the astronomical data, we can observe that the measured values of these two indices lie on a two-dimensional surface. We express these indices in terms of the Hubble slow-roll parameters and we assume that n s - 1 = h r . For the function h r , we consider three cases, where h r is constant, linear and quadratic, respectively. From this, we derive second-order equations whose solutions provide us with the explicit forms for the expansion scale-factor, the scalar-field potential, and the effective equation of state for the scalar field. Finally, we show that for there exist mappings which transform one cosmological solution to another and allow new solutions to be generated from existing ones.
dc.description.sponsorshipSTFC
dc.format.mediumPrint-Electronic
dc.identifier.doi10.17863/CAM.30846
dc.identifier.eissn1572-9532
dc.identifier.issn0001-7701
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/283480
dc.languageeng
dc.language.isoeng
dc.publisherSpringer Science and Business Media LLC
dc.publisher.urlhttp://dx.doi.org/10.1007/s10714-018-2402-4
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCosmology
dc.subjectInflation
dc.subjectScalar field
dc.titleReconstructions of the dark-energy equation of state and the inflationary potential.
dc.typeArticle
dcterms.dateAccepted2018-06-09
prism.issueIdentifier7
prism.publicationDate2018
prism.publicationNameGen Relativ Gravit
prism.startingPage82
prism.volume50
pubs.funder-project-idScience and Technology Facilities Council (ST/P000673/1)
pubs.funder-project-idScience and Technology Facilities Council (ST/L000636/1)
rioxxterms.licenseref.startdate2018-01
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionVoR
rioxxterms.versionofrecord10.1007/s10714-018-2402-4

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