Having already gone public with his relationship with Rimes – and his wife's going public with her negative reaction to that – the CSI: Miami star "filed yesterday, and I accepted it," Glanville told E! News Tuesday. "We're getting a divorce. We talked to each other yesterday."
Court papers confirm that Cibrian, 36, filed for divorce on Aug. 24. In his filing, Cibrian cites irreconcilable differences and is seeking shared custody of their two sons: Mason, 6, and Jake, 2. He's also requested spousal support from Glanville, and cited March 15 as the day they separated.
Cibrian's manager, however, tells PEOPLE that the spousal support request was a clerical error, and the divorce petition is being amended. There's no indication the estranged couple had a prenuptial agreement. Cibrian's attorney declined comment.
About her estranged husband and Rimes, Glanville said, "They're going on vacation this weekend to Mexico ... I'm looking forward to seeing those pictures." Cibrian's rep had no comment.
Rimes, 26, recently separated from her husband, songwriter and former dancer Dean Sheremet, whom she married in 2002, when she was 19. Their Nashville home went on the market in May for $7.45 million.
This week, Glanville told PEOPLE that Cibrian is "just somebody I don't know." Of her domestic situation, she said, "I don't understand. You think you know one thing and you wake up and it's all been a lie."
With obviously mixed emotions, Glanville also told E!, "It's just over for me. We're both happy. This is going to be good."
Reporting by KEN LEE
Jon Kopaloff / FilmMagic