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Modified Saez-Ballester scalar-tensor theory from 5D space-time

dc.contributor.authorRasouli, S. M. M.
dc.contributor.authorMoniz, Paulo
dc.date.accessioned2019-12-11T15:24:40Z
dc.date.available2019-12-11T15:24:40Z
dc.date.issued2017-12-05
dc.description.abstractIn this paper, we bring together the five-dimensional Saez-Ballester~(SB) scalar-tensor theory [1] and the induced-matter-theory~(IMT) setting [2], to obtain a modified SB theory (MSBT) in four dimensions. Specifically, by using an intrinsic dimensional reduction procedure into the SB field equations in five-dimensions, a MSBT is obtained onto a hypersurface orthogonal to the extra dimension. This four-dimensional MSBT is shown to bear distinctive new features in contrast to the usual corresponding SB theory as well as to IMT and the Modified Brans-Dicke Theory (MBDT)~\cite{RFM14}. It should be emphasized that the herein appealing solutions can emerge solely from the geometrical reductional process, from presence also of extra dimension(s) and not from any ad-hoc matter either in the bulk or on the hypersurface. Subsequently, we apply the herein MSBT to cosmology and consider an extended spatially flat FLRW geometry in a five-dimensional vacuum space-time. After obtaining the exact solutions in the bulk, we proceed to construct, by means of the MSBT setting, the corresponding dynamic, on the four-dimensional hypersurface. More precisely, we obtain the (SB) components of the induced matter, including the induced scalar potential terms. We retrieve two different classes of solutions. Concerning the first class, we show that the MSBT yields a barotropic equation of state for the induced perfect fluid. We then investigate vacuum, dust, radiation, stiff fluid and false vacuum cosmologies for this scenario and contrast the results with those obtained in the standard SB theory, IMT and BD theory. Regarding the second class solutions, we show that the scale factor behaves similar to a de Sitter (DeS) model. However, in our MSBT setting, this behavior is assisted by non-vanishing induced matter instead, without any a priori cosmological constant.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.arxiv712.01962v2
dc.identifier.doi10.1088/1361-6382/aa9ad3pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/7714
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/pt_PT
dc.subjectSaez-Ballester scalar-tensor theorypt_PT
dc.subjectInduced-matter theorypt_PT
dc.subjectExtra dimensionspt_PT
dc.subjectFLRW cosmologypt_PT
dc.titleModified Saez-Ballester scalar-tensor theory from 5D space-timept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue2pt_PT
oaire.citation.startPage025004pt_PT
oaire.citation.titleClassical and Quantum Gravitypt_PT
oaire.citation.volume35pt_PT
person.familyNameMousavi Rasouli
person.familyNameMoniz
person.givenNameSeyed Meraj
person.givenNamePaulo
person.identifier1895963
person.identifier277693
person.identifier.ciencia-id8513-6DFF-8AE8
person.identifier.ciencia-idB410-D0B7-55C1
person.identifier.orcid0000-0003-3455-1954
person.identifier.orcid0000-0001-7170-8952
person.identifier.ridM-9845-2013
person.identifier.scopus-author-id26428481000
person.identifier.scopus-author-id6701832578
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication48e10712-ccdc-4206-baf1-92ac569b3e46
relation.isAuthorOfPublication06eed88a-9063-48c2-b3b5-6bd99fad095b
relation.isAuthorOfPublication.latestForDiscovery48e10712-ccdc-4206-baf1-92ac569b3e46

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