Geodesic Deviation Equation in $f (R,T)$ Gravity
General Relativity and Quantum Cosmology
2017-05-04 v1
Abstract
In this paper, we investigate the modified Geodesic Deviation Equation (GDE) in the framework of theory of gravity where and are the curvature scalar and the trace of the energy-momentum tensor, respectively, using the FLRW background. In this way, we obtain the GR equivalent (GDE) in metric formalism. We also extend our work to the generalization of the Matting relation and perform the numerical analysis with GDE for null vector.
Cite
@article{arxiv.1509.06997,
title = {Geodesic Deviation Equation in $f (R,T)$ Gravity},
author = {E. H. Baffou and M. J. S. Houndjo and M. E. Rodrigues and A. V. Kpadonou and J. Tossa},
journal= {arXiv preprint arXiv:1509.06997},
year = {2017}
}