'Two and Half Men' star Charlie Sheen and wife Brooke Mueller signed divorce agreement papers today, TMZ reports. Rumors of an impeding divorce have been swirling since Sheen was arrested last Christmas Day in Aspen for alleged domestic abuse.

Per the 41-page agreement, Sheen and Mueller will share joint custody of their two children. Mueller will receive primary custody, and Sheen will get the kids the first, third and fifth weekends of the month.

Though Mueller waived spousal support, she will receive $55,000 a month in child support. And apparently, she doesn't want the amount she gets to be usurped by what Sheen is paying ex-wife Denise Richards. The agreement states, "Under no circumstances shall the child support paid by Charlie for Bob and Max be less than the child support paid by Charlie to Denise Richards for Sam and Lola."