Jude Law is a dad again. He rushes back to England from the set of ''Cold Mountain'' just in time to see wife Sadie Frost give birth to the couple's third child

Maybe Jude Law can call his next movie ”The Road to Parturition.” It would be about a rising English actor, cast in his first lead role in a big-budget Hollywood movie, whose actress wife goes into labor five weeks early, forcing him to rush from the set and cross the Atlantic in time to witness the childbirth. According to E!, that’s what happened to Law this week, as he fled the North Carolina set of ”Cold Mountain” to be with wife Sadie Frost as she gave birth to the couple’s son, Rudy, on Tuesday.

The 34-year-old Frost (”Bram Stoker’s Dracula”) was at home in London with pregnant pal Kate Moss when she went into labor. Moss took her in a taxi to a North London hospital, where the five-weeks-premature boy was born, weighing in at 5 pounds, 5 ounces. Mother and child are doing well, Law’s publicist tells E!, but they’ll remain in the hospital for observation for a few more days. Rudy is the third child for the couple, who have a son, Rafferty, 6, and a daughter, Iris, who is nearly 2. Frost also has a son, Finley, 11, from a previous marriage.

Law, 29, who was seen earlier this summer as a photographer/hitman opposite Tom Hanks in ”The Road to Perdition,” has spent the summer shooting ”Cold Mountain,” an adaptation of Charles Frazier’s Civil War bestseller, directed by Anthony Minghella (”The English Patient”), who directed Law in ”The Talented Mr. Ripley.” Law stars as Inman, a wounded vet trying to make it back home, alongside Nicole Kidman, Renée Zellweger, and Natalie Portman. Shooting moved to North Carolina after some weeks in Romania, where a senator mistakenly accused Law of stealing his car in an airport parking lot. (Law had rented the car, which the politician’s brother had sold.)

Law was in the Tarheel State when word came of his wife’s labor. ”She was really concerned that Jude was not going to be able to make it back from the States to be there for the birth,” a friend of the couple told London’s Daily Mirror. ”It really was a race against time for him to get back, but he made it.”