If you consider that the car accelerates from 0 m/sec to the speed of light in a short time, your point can be eligible for black-hole-like behavior of the car. In that case, we need to apply the general theory of relativity. But if the car travels at a constant speed, as some poster mentioned, of light which is the ultimate speed, the light still shine ahead and it travels at the speed of light with respect to both the car (driver as well) and external observer. You can easily obtain the result using the speed formula in the special theory of relativity. You can find this formula from any 1st year undergraduate physics text book, e.g., The Feynman Lectures on Physics. Remember "special" in the special theory of relativity. It's special case of theory that can apply in inertial reference systems. The special theory of relativity is based on the two important postulates. Once we accept the postulates, we have several results which are quite unacceptable from a view point of common sense, e.g., time dilation, length contraction, mass-energy equivalence, etc.
Another thing, the definition of mass in the special theory of relativity is different from the one in the general theory of relativity.
bruceyg,
Let us see how the other theory/opinion goes. If the variance of the speed of light proves by experiments, absolutely, the special theory of relativity needs corrections.
