Without going to court or having him sign anything this is your current situation: Without you two being married when the baby is born, an Affidavit of Paternity or DNA he has no rights. Do not list him on the birth certificate and give the baby your last name. Do not try to contact him and live your life. You will have sole custody.
If he choses though he can file to establish his paternity at a later time. However, each state has limitations on how long he has to do this. It depends on what state you live in to determine the appropriate forms you would need to have him give you sole custody and agree to having no contact with the baby. There is a lot of controversy over whether he can voluntarily relinquish his rights and not be obligated for child support. Due to all the statutes and the case law I can say that the chances of you/him accomplishing this is slim to none. Although people may tell you it can and has happened those really have been VERY rare and under extreme circumstances.
So, your best option is to either have your baby, do not acknowledge him as the father in any way and basically disappear. (Which means he may be able to bring this to court later) Or use your appropriate state forms, acknowledge him as the father (he will have to agree or have a DNA) and write up the papers to state that you have Exclusive custody and he is agreeing to have no contact with the child, so no visitation.
An order for support will very likely be issued. I do believe, however, and you will need to check with a lawyer, but I think you can request the court to not order child support "at this time". It will be a deviation from the state guideline. If it is ordered but you do not ask the state to enforce the order by going to your local child support department, he really can simply just not pay you if you wish. He will still be ordered but as long as the state is not directly involved in collecting the child support from him it will really be between you and him. Although people may tell you that if you want you can wait and if you later decide you want to start collecting that money that you can, be careful because you may have problems doing that.
It really depends on your state. In California if two people wanted to do this they would simply file papers to mutually sign and agree to paternity and then file an OSC for Custody and visitation. State the terms they want, file it with the court and never even appear before the judge. Here it just gets signed and sent back to you as an order. The key to that is it must be signed by both parties and submitted as a mutual agreement or it will go before the judge. I've done it.
Hope you found something helpful here.
Ok I was planning on doing that from the beginning..with ignoreing him(which isn't a problem because he doesn't bother with me at all)...and just acting like he's not even the father. But see I live in canada so I don't know if its the same rules. I don't want money from him at all ( I really don't need it). I just don't want him trying to walk into the baby's life years down the road. I didn't want to go to a lawyer yet because I needed to know that if I don't put his name on the birth certificate and act like I don't even know him then will that be enough...and I was wondering would he have to pay to have a DNA test done. Because if he has to pay he probably won't do that. If he ever wanted to come back into his child's life he would know where I am. I can't afford to move right now. I was suposed to move away but I can not take the baby with me so I have to go to school here where I live. I did try to ask him if he would sign something saying he doesn't want anything to do with it but he wouldn't answer. I just think he has something planned because he tells me he doesn't want anything to do with it but when he's at the bar he tells people that he can't wait to be a dad but I never heard from him in over 2 months and I dought I will anytime soon. But thanks for the advice..maybe I should just try what I was going to do from the beginning and act like he's not even the father.