Officers say a 21-year-old female Univ. of Georgia student claimed she was raped at a downtown Athens residence. Cops add they obtained a warrant for Rambo's arrest shortly after.
Jail records show Rambo is currently still in custody after being booked on a felony rape charge ... and is being held on no bond.
Rambo was a superstar for the Georgia Bulldogs after arriving on campus in 2009 ... he was named an All-American in 2011 and still holds a share of the school record for most career interceptions with 16.
Rambo had an up-and-down career in the NFL ... starting 16 games in 5 years. He last played for the Miami Dolphins in 2016, recording 42 total tackles.