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Abstract
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In this work, we show that it is possible to study the notion of a geodesic deviation equation in fðTÞ
gravity, in spite of the fact that in teleparallel gravity there is no notion of geodesics, and the torsion is
responsible for the appearance of gravitational interaction. In this regard, we obtain the general relativity
equivalent equations for f (T) gravity, which are in the modified gravity form such as f (T) gravity. Then,
we obtain the geodesic deviation equation within the context of this modified gravity. In this way, the
obtained geodesic deviation equation will correspond to the f (T) gravity. Eventually, we extend the
calculations to obtain the modification of the Mattig relation.
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