Aberration and the near-field zone in General Relativity

The near-field approximation of General Relativity is an unfamiliar subject with a lot of interesting topics. Here we'll talk about the absence of aberration (i.e. : the fact that the gravitational force is directed to the instantaneous position of any object moving uniformly).  This should happen in order to reproduce the Newtonian force even if, the speed of gravity being finite, one could think the direction of the force should be pointing to the retarded position.

Then we will discuss the value of the fields in the near-field zone, highlighting the absence of dipole effects and how this is related to the conservation of energy-momentum.