  Spaniol and Andrade introduced grvitoelectromagnetism in TEGR by considering
superpotentials, times the determinant of tetrads, as the
gravitoelectromagnetic fields. However, since this defined
gravitoelectromagnetic field strength does not give rise to a complete set of
Maxwell-like equations, we propose an alternative definition of the
gravitoelectromagnetic field strength: instead of superpotentials, torsions are
taken as the gravitoelectromagnetic field strengths. Based on this new proposal
we are able to derive a complete set of Maxwell-like equations. We then apply
them to obtain explicit expressions of the gravitoelectromagnetic fields both
in Schwarzchilds spacetime and for gravitational waves.
