By Alexis Tereszcuk - Breaking Celebrity News Senior Reporter

The ugly name calling continues against gorgeous supermodel Christie Brinkley.

The Uptown Girl’s custody battle with her cheating ex-Peter Cook is getting even nastier as he filed court documents this week calling her a “narcissistic egomaniac.”

The couple divorced in 2008 and have been mudslinging ever since. They have a daughter together, Sailor, and he adopted her son Jack from a previous marriage. Christie also has daughter Alexa Ray with singer Billy Joel.

The Sports Illustrated cover girl has claimed that Cook owes her $32,00 in expenses for the their two children, but in his new filing he claims she actually owes him money!

Cook, 53, says the 58-year-old Brinkley owes him $25,000 because he cared for their children while she was performing in the musical Chicago on Broadway and in London, according to the New York Post.

In his 9