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Chiral Cosmological Model of f(R) Gravity with a Kinetic Curvature Scalar

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dc.contributor.author Chervon S.
dc.contributor.author Fomin I.
dc.contributor.author Mayorova T.
dc.date.accessioned 2020-01-15T21:17:19Z
dc.date.available 2020-01-15T21:17:19Z
dc.date.issued 2019
dc.identifier.issn 0202-2893
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/155541
dc.description.abstract © 2019, Pleiades Publishing, Ltd. We consider modified f(R) gravity with a kinetic curvature scalar, which can be reduced to a chiral cosmological model of special kind. A detailed derivation is presented for the action of a chiral cosmological model as an equivalent to a gravitational model with higher derivatives with respect to the Ricci scalar using Lagrange multipliers and a transition from the Jordan frame to the Einstein one. The equations of the model are written in the spatially flat Friedmann-Robertson-Walker metric on the basis of the constructed chiral cosmological model. Examples of solutions are found, corresponding to a special choice of the field χ = χ* = const, and its fixed value χ0=−3/2ln2. For this value of χ0, in the case of the canonical inclusion of the kinetic component of the Ricci scalar, we have obtained a nonlinear second-order differential equation with respect to H, which is not amenable to analytic solution. Therefore we implement a transition to a noncanonical form of the kinetic term. Using a fixed value of χ0, an exact solution is obtained for power-law inflation. We have considered a transition from the de Sitter and power-law solutions specified in the Jordan frame to the Einstein frame for comparison with the results obtained in f(R) gravity with higher derivatives. It is proved that there is a Weyl conformal transformation which transforms the de Sitter and power-law solutions in one frame to similar solutions in the other.
dc.relation.ispartofseries Gravitation and Cosmology
dc.title Chiral Cosmological Model of f(R) Gravity with a Kinetic Curvature Scalar
dc.type Article
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 25
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 205
dc.source.id SCOPUS02022893-2019-25-3-SID85071511994

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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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