Cosmological phase space of R^n gravity

dc.creatorCervantes, Alejandro Aviles
dc.creatorCervantes-Cota, Jorge L.
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:58:04Z
dc.date.available2026-07-07T12:58:04Z
dc.descriptionWe present some exact solutions and a phase space analysis of metric $f(R)$-gravity models of the type $R^{n}$. We divide our discussion in $n\neq2$ and $n=2$ models. The later model is a good approximation, at late times to the $f(R) = \frac{2}πR \tan^{-1}(R/β^2)$ gravity model, being this an example of a non--singular case. For $n \neq 2$ models we have found power law solutions for the scale factor that are attractors and that comply with WMAP 5-years data if $n <-2.55 $ or $ 1.67< n < 2$. On the other hand, the quadratic model has the de Sitter solution as an attractor, that also complies with WMAP 5-years data.
dc.description8 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0901.3722
dc.identifierhttp://arxiv.org/abs/0901.3722
dc.identifierAIP Conf.Proc.1083:57-64,2008
dc.identifierdoi:10.1063/1.3058579
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225121
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCosmological phase space of R^n gravity
dc.typetext

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