Part of the first answer to the question: Is there a travelling speed of for electric field? If yes, what is it? says:
...any change in an established field (say, due to shifting the position of the charge creating the field) won't be felt by a distant object until enough time has passed for a photon from the source to make it to the observation point.
My question is: if we keep in the classical field framework, can we say: "...until enough time has passed for an EM wave...?"
Suppose a charge and an observation point in the same frame of reference. If the charge is suddenly moved (and stopped after that) radially to a place closer to the observation point, the electric field there must increase after a delay. But the EM wave, sent by the charge while being accelerated, doesn't have a component of E in the radial direction, only perpendicular to it.
So I don't understand how it can increase the radial component of E.