If my girlfriend lied that I hit her with a car, which was in fact I was in a residential place, I was charged by domestic violence, what can I do?

What you can do is hire a lawyer. Remember prosecutors will never drop charges just because the victim has had a change of heart/story. The fact is, in 95% of all DV cases the parties reconcile, and prosecutors are well aware of this. You need a good lawyer.

You hire the most experienced attorney you can afford to defend you.