RT Journal Article T1 Tidal forces in f(R) theories of gravity A1 de la Cruz Dombriz, Alvaro A1 Dunsby, Peter K. S. A1 Consolini Busti, Vinicius A1 Kandhai, Sulona AB Despite the extraordinary attention that modified gravity theories have attracted over the past decade, the geodesic deviation equation in this context has not received proper formulation thus far. This equation provides an elegant way to investigate the timelike, null and spacelike structure of spacetime geometries.In this investigation we provide the full derivation of this equation in situations where general relativity has been extended in Robertson-Walker background spacetimes. We find that for null geodesics the contribution arising from the geometrical new terms is in general nonzero. Finally we apply the results to a well-known class of f(R) theories, compare the results with general relativity predictions and obtain the equivalent area distance relation. PB APS YR 2014 FD 2014-01-01 LK https://hdl.handle.net/20.500.14352/33597 UL https://hdl.handle.net/20.500.14352/33597 LA eng DS Docta Complutense RD 17 abr 2025