  From a previous paper where we proposed a description of general relativity
within the gravito-electromagnetic limit, we propose an alternative modified
gravitational theory. As in the former version, we analyze the vector and
tensor equations of motion, the gravitational continuity equation, the
conservation of the energy, the energy-momentum tensor, the field tensor, and
the constraints concerning these fields. The Lagrangian formulation is also
exhibited as an unified and simple formulation that will be useful for future
investigation.
