Oklahoma recognizes several ways in which alimony payments can be stopped or modified. If the party paying alimony dies, Oklahoma law states that all alimony terminates. If the former spouse voluntarily cohabits with a member of the opposite sex, the party paying alimony can petition for modification of the alimony judgment. In such cases the court has the ability to decrease or terminate future support payments, if evidence is shown that a substantial change in finances has occurred.