SInce you say both of you live in NC, I don't understand why you are asking about filing in Georgia. To file here either you would have to live here for the six months prior to filing or your spouse would have to live here for six months. (Note: your spouse is not your ex until after the divorce, and where you got married doesn't matter).
If you are seeking to dissolve your marriage, you can file a petition for divorce in Georgia if, as an initial matter, you have been a bona fide resident of Georgia for six months prior to the filing of the divorce petition.
The Georgia Supreme Court has held that personal jurisdiction over the defendant (which would be your spouse if you file the petition) is not a prerequisite to the grant of a divorce by a Georgia Court. However, personal jurisdiction over the defendant is required if the petitioner is seeking other relief, such as an award of alimony, attorney's fees, or division of assets outside the state of Georgia.
If you are simply looking to dissolve the marriage, you need only show that the trial court has jurisdiction over the “res of the marriage” - the "res" being a matrimonial domicile in this state for the six-month period preceding the filing of the divorce (OCGA § 19-5-2). The Court can render a judgment “in rem” with respect to the marital property located within its territory.
However, if you are requesting the division of assets located outside Georgia, or a grant an award of alimony or attorney's fees, the Court must have personal jurisdiction over the defendant. Personal jurisdiction can sometimes be obtained through the “Long Arm Statute.” .
The Long Arm Statute (OCGA Section 9-10-91) allows for jurisdiction over the defendant with respect to proceedings for divorce, if the parties maintained a matrimonial domicile in Georgia at the time of the commencement of the divorce action or if the defendant resided in Georgia preceding the commencement of the action, irrespective of whether the parties were cohabiting during that time.
If the parties did not maintain a matrimonial domicile in Georgia at the time of the commencement of the divorce action or if the defendant did not reside in Georgia preceding the commencement of the action, then an action seeking alimony, division of property located outside the state, and/or attorney’s fees would have to be filed in the county in which the defendant resides, pursuant to Article VI, Section II, Paragraph I of the Georgia Constitution.
If you have children, effective July 1, 2001, Georgia repealed the Uniform Child Custody Jurisdiction Act (the "UCCJA") and enacted the Uniform Child Custody Jurisdiction and Enforcement Act ("UCCJEA"). Under the UCCJEA, one basis for a Georgia court's exercise of jurisdiction over an initial custody determination is that Georgia is the "home state of the child on the date of the commencement of the proceeding." OCGA § 19-9-61(a)(1) and OCGA § 19-9-41(7). The UCCJEA, however, does not give the Court personal jurisdiction over child support, divorce, alimony, or contempt matters. Daniels v. Barnes, 289 Ga.App. 897, 658 S.E.2d 472 (2008).