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Effects of spatial curvature on the f (R) gravity phase space: No inflationary attractor?

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dc.contributor.author Odintsov S.
dc.contributor.author Oikonomou V.
dc.date.accessioned 2020-01-15T21:17:33Z
dc.date.available 2020-01-15T21:17:33Z
dc.date.issued 2019
dc.identifier.issn 0264-9381
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/155560
dc.description.abstract © 2019 IOP Publishing Ltd Printed in the UK. In this paper we study the effects of spatial curvature of the metric on the phase space of vacuum f (R) gravity. Particularly, we appropriately choose the variables of the dynamical system, in order for this to be autonomous, and we study the phase space of the resulting theory, focusing on de Sitter, matter and radiation domination fxed points. Our analysis indicates that the effect of spatial curvature on the phase space is radical, since it destabilizes all the stable de Sitter vacua of the flat spacetime vacuum f (R) gravity phase space, making the phase space having non-trivial unstable submanifolds. This instability occurs regardless if the spacetime has elliptic or hyperbolic spatial sections, and it is also robust towards the choice of initial conditions. We investigate the source of the instability in the system, and also we discuss the stability of the matter and radiation domination vacua, which, as we demonstrate, are also highly unstable. Our results for de Sitter attractors indicate that the stable de Sitter attractors of the vacuum f (R) gravity theory for a flat Universe, are destabilized by the presence of curvature, and this shows that inflation for vacuum f (R) gravity in non-flat spacetime is problematic, at least at the phase space level. This result holds true for both elliptic and hyperbolic spacetimes.
dc.relation.ispartofseries Classical and Quantum Gravity
dc.subject cosmology
dc.subject in?ationary dynamics
dc.subject inflation
dc.subject inflationary attractors
dc.subject Modifed gravity
dc.title Effects of spatial curvature on the f (R) gravity phase space: No inflationary attractor?
dc.type Article
dc.relation.ispartofseries-issue 6
dc.relation.ispartofseries-volume 36
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS02649381-2019-36-6-SID85063971093

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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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