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arXiv · 1509.06997

Geodesic Deviation Equation in $f (R,T)$ Gravity

E. H. Baffou·M. J. S. Houndjo·M. E. Rodrigues·A. V. Kpadonou·J. Tossa
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Abstract

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.

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E. H. Baffou, M. J. S. Houndjo, M. E. Rodrigues, A. V. Kpadonou, J. Tossa. 2015-09-21. Geodesic Deviation Equation in $f (R,T)$ Gravity. https://doi.org/10.1016/j.cjph.2016.10.020

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