A general solution in the Newtonian limit of f(R)- gravity

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dc.creatorCapozziello, S.
dc.creatorStabile, A.
dc.creatorTroisi, A.
dc.date2009-01-05
dc.date.accessioned2026-07-07T13:06:14Z
dc.date.available2026-07-07T13:06:14Z
dc.descriptionWe show that any analytic $f(R)$-gravity model, in the metric approach, presents a weak field limit where the standard Newtonian potential is corrected by a Yukawa-like term. This general result has never been pointed out but often derived for some particular theories. This means that only $f(R)=R$ allows to recover the standard Newton potential while this is not the case for other relativistic theories of gravity. Some considerations on the physical consequences of such a general solution are addressed.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0901.0448
dc.identifierhttp://arxiv.org/abs/0901.0448
dc.identifierMod.Phys.Lett.A24:659-665,2009
dc.identifierdoi:10.1142/S0217732309030382
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227714
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectCosmology and Nongalactic Astrophysics
dc.titleA general solution in the Newtonian limit of f(R)- gravity
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