Geodesic deviation equation in f(R,T) gravity |
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| Authors: | E.H. Baffou M.J.S. Houndjo M.E. Rodrigues A.V. Kpadonou J. Tossa |
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| Affiliation: | 1. Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo,Bénin, West Africa;2. Faculté des Sciences et Techniques de Natitingou, Université de Parakou, Bénin, West Africa;3. Ecole Normale Supérieure de Natitingou, Université de Parakou, Bénin, West Africa;4. Faculdade de Física, PPGF, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil;5. Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará - Campus Universitário de Abaetetuba, CEP 68440-000, Abaetetuba, Pará, Brazil |
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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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| Keywords: | Corresponding author. |
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