Geodesic deviation equation in f (R, T) gravity

In this paper, we investigate the modified Geodesic Deviation Equation (GDE) in the framework of f (R, T) theory of gravity where R and T 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 f (R, T) metric formalism. We also extend our work to the generalization of the Matting relation and perform the numerical analysis with GDE for null vector. (C) 2017The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.