Publication:
Kinetic dominance and psi series in the Hamilton-Jacobi formulation of inflaton models

dc.contributor.authorMedina Reus, Elena
dc.contributor.authorMartínez Alonso, Luis
dc.date.accessioned2023-06-17T08:56:31Z
dc.date.available2023-06-17T08:56:31Z
dc.date.issued2020-11-13
dc.description© 2020 American Physical Society. The financial support of the Spanish Ministerio de Ciencia, Innovacion y Universidades under Projects No. FIS2015-63966-P and No. PGC2018-094898-B-I00 is gratefully acknowledged. We thank Professor Gabriel Alvarez Galindo for fruitful discussions.
dc.description.abstractSingle-field inflaton models in the kinetic dominance period admit formal solutions given by generalized asymptotic expansions called psi series. We present a method for computing psi series for the Hubble parameter as a function of the inflaton field in the Hamilton-Jacobi formulation of inflaton models. Similar psi series for the scale factor, the conformal time, and the Hubble radius are also derived. They are applied to determine the value of the inflaton field when the inflation period starts and to estimate the contribution of the kinetic dominance period to calculate the duration of inflation. These psi series are also used to obtain explicit two-term truncated psi series near the singularity for the potentials of the Mukhanov-Sasaki equation for curvature and tensor perturbations. The method is illustrated with wide families of inflaton models determined by potential functions combining polynomial and exponential functions, as well as with generalized Starobinsky models.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/63390
dc.identifier.doi10.1103/PhysRevD.102.103517
dc.identifier.issn2470-0010
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.102.103517
dc.identifier.relatedurlhttps://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7615
dc.issue.number10
dc.journal.titlePhysical review D
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.projectID(FIS2015-63966-P; PGC2018-094898-B-I00)
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordInflationary universe
dc.subject.keywordAnalytic structure
dc.subject.keywordSpectrum
dc.subject.keywordFlatness
dc.subject.keywordHorizon.
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleKinetic dominance and psi series in the Hamilton-Jacobi formulation of inflaton models
dc.typejournal article
dc.volume.number102
dspace.entity.typePublication
relation.isAuthorOfPublication896aafc0-9740-4609-bc38-829f249a0d2b
relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b
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