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arXiv · 1010.5279

Geodesic Deviation Equation in f(R) Gravity

Alejandro Guarnizo·Leonardo Castaneda·Juan M. Tejeiro
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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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Alejandro Guarnizo, Leonardo Castaneda, Juan M. Tejeiro. 2010-10-25. Geodesic Deviation Equation in f(R) Gravity. https://doi.org/10.1007/s10714-011-1194-6

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