You can't force someone to put their name on a birth certificate and if he does't sign it, then legally his name can't be on it (or else anyone could put anyone's name on it kwim?) which is really frustrating, but not much you can do about it except hope that he changes his mind. As for child support, well he has to pay, but if he is this much of a d1ckwad already then chances are he will shirk paying for anything the CSA (child support agency) makes him pay.

Also, I don't know what your financial situation is, but if he hasn't signed the birth certificate then it also has implications for getting a full entitlement from Family Assistance too.

Divvy would know more about this.