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20 April 2024

» arxiv » 1509.6997

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Geodesic Deviation Equation in $f (R,T)$ Gravity
E. H. Baffou ; M. J. S. Houndjo ; M. E. Rodrigues ; A. V. Kpadonou ; J. Tossa ;
Date:	21 Sep 2015
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.
Source:	arXiv, 1509.6997
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