🚀 go-pugleaf

Does anyone know what happens to the electric field lines surrounding a point
particle in free space when it moves at a constant velocity comparable to c?
I had thought the electric field remains constant in magnitude along the
direction of motion and that it increases (without bound, actually, as c is
approached!) in the normal directions. However, when I consulted Feynman
Lectures Vol.II, I got the impression that, according to them, the field
contracts in the direction of motion and remains constant in the normal
direction! An exercise (worked out in the back of the book, in the edition that
I have, at least!) in Taylor & Wheeler's _Spacetime Physics_ also compares the
field lines to rigid meter sticks, and thus their results agree with those of 
Feynman et al.'s. 

Once I thought that it is the density of the lines that counts. If so, I don't
have any trouble. Can anyone clarify on this?