You will definitely need to consult an attorney to actually do it. I do know there are not likely any restrictions on doing so in GA since I have seen many other subdivisions that have a rental restriction. The most common is a cap that no more than 10% of the units in the community can be rented.
Before you implement this, I would urge you to consider both sides of this. While it may seem like a good thing as a high percentage of rentals can devalue a neighborhoods, in today's real estate climate, I've seen communities actually petitioning to remove such a provision from their covenants because the restriction on rentals was actually increasing the foreclosure rate. Many times, if a homeowner is having trouble making their payments and they can't sell their home, they can rent it out which saves them from foreclosure. Believe me, the amount that another foreclosure on your street devalues your neighborhood is infinitely worse than the devaluation caused by an additional rented property. I'm not saying not to do it. I'm just saying - thing of the pros and cons and make an educated decision that is in the best interest of all of the homeowners. If you need references for an attorney, contact me and I'd be happy to provde a few for you.