Eddie Murphy and Tracey Edmonds have called it quits just two weeks after their intimate wedding, PEOPLE has learned exclusively.

"After much consideration and discussion, we have jointly decided that we will forego having a legal ceremony as it is not necessary to define our relationship further," Murphy and Edmonds tell PEOPLE in an exclusive statement. "While the recent symbolic union in Bora Bora was representative of our deep love, friendship and respect that we have for one another on a spiritual level, we have decided to remain friends.î

The couple exchanged vows in a sunset ceremony on New Year's Day on a private island off Bora Bora in French Polynesia. But, according to a source, the honeymoon got off to a rocky start.

"Eddie started yelling at Tracey in front of people," says one of Edmonds's wedding guests. "He did it on a few occasions and it was very embarrassing."

Since the couple's nuptials took place in a foreign country, the wedding was purely ceremonial ñ not legal. Murphy, 46, and Edmonds, 40, originally said they planned to have a legal ceremony in the United States, but that is now off.

WENN adds:

A source tells In Touch Weekly the couple fell out over the plans for a legal ceremony. The insider tells the magazine Murphy was upset when his new bride refused to take his name. Edmonds wanted to keep her existing name – from her marriage to R&B star Kenneth 'Babyface' Edmonds' – because her sons have that surname.

Duh. Tracey is in the music industry. Of course she would opt to keep the name of the man who wrote such hits as "I'm Your Baby Tonight," "I'll Make Love To You," and the Josie and the Pussycats soundtrack rather than take the name of the man responsible for "Party All the Time."

P.S. Our perusal of Babyface's Wikipedia page brought up this interesting fact: Kenny and Tracey's sons are named Dylan and Brandon, the same exact names given to the offspring of Pam Anderson and Tommy Lee. So let this be a lesson to all you 90210 fans out there; naming your spawn after edgily sideburned superhunks of yore could very well lead you down the path of multiple divorces. We don't think this curse will extend to children named after lesser BH alumni, so don't fret, parents of baby Joe E. Tata Jones. We think you're safe.

Appearing on a Dutch chat show this week, Eddie Murphy was asked if he was happy with Mel "since she's pregnant with your child."
"You're being presumptuous," Murphy shot back, "because we're not together anymore. And I don't know whose child that is, until it comes out and has a blood test. You shouldn't jump to conclusions, sir."
Mel's rep didn't return our E-mailed request for a response, but chances are she's reeling. Two days ago, she was quoted as saying, "We're in love. Ö All [our] children have met and get on, too. Ö I can't wait to spend Christmas with him, and I can't wait to have this baby."

"In addition, sir, just because you see me in these X17 photos in direct proximity to Babyface's ex-wife Tracey Edmonds, you should not jump to the conclusion that I am tapping that ass, as the kids say. You can, however, jump to the conclusion that I am one sexy m.f. who will kick your damn ass if you don't get out of my face. Sir." Does this mean Tracey likes to party all the time?

Spice up your life with Mel B at MrSkin.com.

Or perhaps Eddie is more your speed. He's at MaleStars.com.