Badminton racket for tennis?

I dont like the feel of a heavy tennis racket in my hand so its it agaisnt the rules if i use a small badminton racket for tennis. I would think larger is agaisnt the rules but what about smaller. I know it may be more running but im a good runner and would have much better control with a badminton or raquetball racket could anty tennis expert tell me if this is ok?