Arnold Schwarzenegger is paying child support to his estranged wife, Maria Shriver, even though the couple has yet to iron out any kind of financial agreement, RadarOnline.com is exclusively reporting.

Neither Arnold nor Maria has officially filed for divorce yet, but the former Governor of California has been paying his estranged wife "a significant amount of child support. Arnold is also paying for his sons, Patrick and Christopher's private school bills,” a source close to the situation tells us.

“Even though Maria is a Kennedy, and has inherited a great deal of money from her parent's estate since their deaths, she is taking the child support. Under California law she is entitled to the child support, once either one of them files for divorce. Maria and Arnold's lawyers have been working on a divorce settlement but in the meantime Arnold is willingly paying the money to Maria."