Actor Charlie Sheen and his estranged third wife, Brooke Mueller, have agreed to the terms of their divorce, capping a brief, stormy marriage that collapsed after a violent quarrel on Christmas Day 2009.

The divorce settlement, which cannot become final before May, was revealed in court documents made public on Thursday by the celebrity website TMZ.com.

News of the agreement comes about two weeks after Sheen entered rehab following a reported 36-hour binge of drug and alcohol abuse, forcing production to be halted on his top-rated CBS television comedy, "Two and a Half Men."

Under terms of the settlement, which TMZ said was filed on Thursday in Los Angeles County Superior Court, Mueller will gain primary physical custody of the couple's twin 2-year-old sons, Bob and Max, and Sheen will pay child support of $55,000 a month.

Sheen, 45, Mueller, 33, have been separated since December 2009, when the actor was arrested in the ski resort of Aspen, Colorado, on charges of assaulting his wife during an argument on Christmas Day.

According to a police report on the incident, Mueller said Sheen had pinned her down on a bed, held a knife to her throat and threatened to have her killed.

Sheen denied brandishing a knife. But he pleaded guilty in August 2010 to assault and was ordered to serve 30 days in drug and alcohol rehab in California. He also was placed on probation for three months.

The divorce agreement provides no ongoing spousal support for Mueller, but Sheen must pay her a one-time lump sum of more than $757,000, plus $1.25 million for her share of their primary home, which he get gets to keep.

The agreement also stipulates that under no circumstances shall Sheen's support for sons Bob and Max fall below the amount he already pays to his second wife, actress Denise Richards, with whom he split in 2006, to support their two children.

Under California law, a divorce decree cannot be granted until at least six months after court documents seeking to dissolve a marriage are filed.

Sheen originally filed for divorce on November 1, meaning his marriage to Mueller, a real estate agent and former actress, would officially end on May 2, just weeks shy of what would have been their third wedding anniversary.