Geodesic Deviation Equation in f(R) Gravity

Details Geodesic Deviation Equation in f(R) Gravity Geodesic Deviation Equation in f(R) Gravity

2010-10-25

arxiv.org/abs/1010.5279v3

Gen.Rel.Grav.43:2713-2728,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 1 figure. Accepted for publication in General Relativity and Gravitation

Scientific paper

10.1007/s10714-011-1194-6

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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