Geodesic Deviation Equation in f(R) Gravity
General Relativity and Quantum Cosmology
2011-09-30 v3 Cosmology and Nongalactic Astrophysics
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.
Cite
@article{arxiv.1010.5279,
title = {Geodesic Deviation Equation in f(R) Gravity},
author = {Alejandro Guarnizo and Leonardo Castaneda and Juan M. Tejeiro},
journal= {arXiv preprint arXiv:1010.5279},
year = {2011}
}
Comments
13 pages, 1 figure. Accepted for publication in General Relativity and Gravitation