It's been reported that Arnold Schwarzenegger and Maria Shriver have officially divorced following a decade-long separation.

The Terminator star and former governor of California has been estranged from his wife since 2011, after it was claimed that Schwarzenegger had fathered a child with the family’s housekeeper.

TMZ reports that a sitting Los Angeles judge entered the divorce into the court system on December 28.

According to the report, the terms of the divorce were finalised earlier this month via a private judge, but the papers were required to be formally submitted by a sitting judge.

The divorce process has reportedly taken so long to complete as a result of the couple’s substantial net worth, estimated to be in the region of €400m.

Maria Shriver and Arnold Schwarzenegger on their wedding day

Schwarzenegger and Shriver shared four children together: Katherine (32), Christina (30), Patrick (28), and 24-year-old Christopher.

Joseph Baena was born to the couple’s former housekeeper, Mildred Patricia Baena, in 1997, just days after Shriver had given birth to Christopher.

Schwarzenegger was reportedly unaware that Baena was his biological son for a number of years.

Baena has recently embarked on an acting career of his own, and is also a bodybuilder, a successful pursuit for Schwarzenegger before he took up acting.