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Geodesic deviation equation in f (R) gravity
Authors:Alejandro?Guarnizo,Leonardo?Casta?eda  author-information"  >  author-information__contact u-icon-before"  >  mailto:lcastanedac@unal.edu.co"   title="  lcastanedac@unal.edu.co"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Juan?M.?Tejeiro
Affiliation:(1) Department of Mathematics, University of Cape Town, Rondebosch, Cape Town, 7701, South Africa
Abstract:In this paper we study the Geodesic Deviation Equation (GDE) in metric f (R) gravity. We start giving a brief introduction of the GDE in General Relativity in the case of the standard cosmology. Next we generalize the GDE for metric f (R) gravity using again the FLRW metric. A generalization of the Mattig relation is also obtained. Finally we give and equivalent expression to the Dyer-Roeder equation in General Relativity in the context of f (R) gravity.
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