[Barry Goldwater]

Physicist:
If the E field lines of a moving charge do bend opposite the motion to form "streamlines" then I have to concede that an additional E field does not appear when the electron moves. What happens is the existing coulombic E lines rearrange themselves to oppose an applied field (by moving the charge) and for motion not due to an external field the lines rearrange to give an net E vector opposite the motion. The charge still meets Gauss's law and other observations. To me this is the simplest and most intuitive explanation and the more I think about it the better it sounds.
You may still believe the field lines are rigidly attached to the charge and extend as straight lines outward as the charge moves, but I don't think it's so.
Anyway, you are right that no new E appears. To me its simply a natural shift of the radial field to some other geometry in response to motion. Anyway, thanks for the head banging, I owe you a beer.

[Physicist]

I'm afraid your posts are getting less comprehensible, aside from some obviously incorrect statements such as,

What happens is the existing coulombic E lines rearrange themselves to oppose an applied field (by moving the charge) and for motion not due to an external field the lines rearrange to give an net E vector opposite the motion.

In any case, I don't see where you're trying to go with any of this, or how it ties in to gravitational waves.

Instead of trying to puzzle out basic E&M from the top of your head, I suggest you start with a good undergraduate textbook such as Electricity and Magnetism by Edward Purcell or Electromagnetism: Principles and Applications by Lorrain and Corson, and study it. There's far more in either of those books than I could ever type in for you on FR.