Wow: SURPRISE: Rapper Ludacris Throws His Fiance . . . A SURPRISE Wedding . . . Him And His Mom . . . DID EVERYTHING!!!

Rapper Ludacris and his fiance Eudoxie just announced that they got MARRIED - OFFICIALLY!! Word is that the entire wedding was a SURPRISE - Luda and his mom chose the dress, the flowers, the location everything. All Eudoxie had to do was say "I Do" . . and take his last name. The couple still don't have their rings yet - but they got that PAPERWORK!!

Here is what TMZ is reporting:

Luda popped the question to long time GF Eudoxie during the day ... then took her out to dinner at a Georgia restaurant. When they returned home, a wedding dress was draped over a piece of furniture.

This was all a surprise to Eudoxie, but she was game so they got married on the spot. A few friends and family members were there to celebrate.

BTW ... Luda's mom picked out the dress, and Eudoxie had no objections.

According to multiple sources, Ludacris and Eudoxie has a "surprise wedding" jusy before the New Year. TMZ claims that the wedding occurred on Christmas Eve - but they have their date WRONG - our snitch claims it happened on New Years Eve - after the couple returned from their Costa Rica vacation. (Ludacris proposed the day after Christmas).