On the evolution of density perturbations in f(R) theories of gravity

dc.creatorde la Cruz-Dombriz, A.
dc.creatorDobado, A.
dc.creatorMaroto, A. L.
dc.date2008-02-21
dc.date2008-06-05
dc.date.accessioned2026-07-07T11:56:14Z
dc.date.available2026-07-07T11:56:14Z
dc.descriptionIn the context of $f(R)$ theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. Using a completely general procedure, we find the exact fourth-order differential equation for the matter density perturbations in the longitudinal gauge. In the case of sub-Hubble modes, the expression reduces to a second-order equation which is compared with the standard (quasi-static) equation used in the literature. We show that for general $f(R)$ functions the quasi-static approximation is not justified. However, for those functions adequately describing the present phase of accelerated expansion and satisfying local gravity tests, it provides a correct description for the evolution of perturbations.
dc.description9 pages, 4 figures. New comments and references included. Final version to appear in Phys.Rev. D
dc.identifierhttps://arxiv.org/abs/0802.2999
dc.identifierhttp://arxiv.org/abs/0802.2999
dc.identifierPhys.Rev.D77:123515,2008
dc.identifierdoi:10.1103/PhysRevD.77.123515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205512
dc.subjectAstrophysics
dc.titleOn the evolution of density perturbations in f(R) theories of gravity
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