Just wondering about the shape of a light cone. On the attachment below, if I were standing at A and pointed a flashlight in the positive time direction, it would form the cone show, correct?
Is this cone a perfect cone? For instance, if I were standing on the north pole and pointed a flashlight up (positive time direction), wouldn't the cone become distorted as it expanded and moved through space (due to the bending of light by gravitational forces)?
Does its radius approach infinity as you move in the positive time direction?
http://en.wikipedia.org/wiki/File:Light_cone.svg