This is how I understand a charge field changes with motion. A charged particle, if it is accelerated to a velocity close to the speed of light, will flatten in the direction of motion and its charge field will also. The field will strengthen perpendicular to the velocity vector and weaken parallel to the velocity vector. Do gravitational fields do the same thing? When in motion do they flatten and strengthen perpendicular to motion and weaken parallel to the direction of motion? I am asking because I thought mass is easily accelerated perpendicular to a large velocity vector and difficult to accelerate in the direction of a large velocity vector. These two statements seem opposite, which is correct, or does charge work different then gravity?