Geodesic Deviation Equation In $f(Q)$-Gravity
General Relativity and Quantum Cosmology
2022-04-27 v2
Abstract
In the present paper we study the Geodesic Deviation Equation (GDE) in the modified -gravity theories. The formulation of GDE in General Relativity in the case of the homogeneous and isotropic Friedman-Lema\^{i}tre-Robertson-Walker (FLRW) spacetime is briefly discussed and then extended in modified -gravity using its covariant counterpart. The generalised Mattig relation is obtained. Finally, an equivalent expression to the Dyer-Roeder equation in General Relativity in the case of -gravity is presented.
Keywords
Cite
@article{arxiv.2107.04513,
title = {Geodesic Deviation Equation In $f(Q)$-Gravity},
author = {Jing-Theng Beh and Tee-how Loo and Avik De},
journal= {arXiv preprint arXiv:2107.04513},
year = {2022}
}