The Backstreet Boys star was booked to appear at the Walker Stalker Con to meet fans of his Dead 7 zombie TV movie, but he has had to scrap the trip, reported Contactmusic.
"I apologize to all the fans that would have attended the @WalkrStalkrCon in Atlanta," he wrote on Twitter.
"Don't worry, Everything is ok (sic). Just need to be home."
Carter and his wife, Lauren, welcomed their first child, son Odin Reign, in April.
The western-themed film, directed by Danny Roew, also featured his Backstreet bandmates AJ McLean and Howie Dorough and NSYNC's Joey Fatone as gunslingers.
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