Geodesic deviation equation in f(T) gravity

F. Darabi, M. Mousavi, and K. Atazadeh
Phys. Rev. D 91, 084023 – Published 9 April 2015

Abstract

In this work, we show that it is possible to study the notion of a geodesic deviation equation in f(T) 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(R) 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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  • Received 10 March 2015

DOI:https://doi.org/10.1103/PhysRevD.91.084023

© 2015 American Physical Society

Authors & Affiliations

F. Darabi*, M. Mousavi, and K. Atazadeh

  • Department of Physics, Azarbaijan Shahid Madani University, Tabriz 53714-161, Iran

  • *f.darabi@azaruniv.ac.ir
  • mousavi@azaruniv.ac.ir
  • atazadeh@azaruniv.ac.ir

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Issue

Vol. 91, Iss. 8 — 15 April 2015

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