Is washing one's hair an appropriate use of eggs?

I would never have thought of using eggs to wash my hair, but I have to admit that it's a very interesting idea. Being that I live a green lifestyle, I think that it is better than using shampoos which can contain all sorts of chemicals and dyes that aren't necessarily good for us. On the other hand, some eco-friendly people might not approve because they are either vegetarians or vegans. It's totally up to you.