Jude Law and Samantha Burke
Richard Young/Startraks; SDFL/Splash News Online
09/23/2009 AT 01:00 PM EDT
Less than two months after he fessed up that a model he had dated was pregnant with his child, Jude Law
is a father – again.
A source tells PEOPLE that Samantha Burke, the 24-year-old aspiring actress whom Law met while filming Sherlock Holmes
in New York City last year, gave birth Tuesday night to a baby girl named Sophia at Sacred Heart Hospital in Pensacola, Fla.
"I doubt Jude was there," says the source. "Besides the financial support, he's not involved."
Law, 36, who has three other children with ex-wife Sadie Frost, is currently appearing in a Broadway production of Hamlet
, now in previews.
Law's rep acknowledged
the pregnancy in a statement released last July after reports that Burke was expecting surfaced in the media.
"Jude Law can confirm that, following a relationship last year, he has been advised that he is to be the father of a child due in the fall of this year," the actor's rep said. "Mr. Law is no longer in a relationship with the individual concerned but he intends to be a fully supportive part of the child's life. This is an entirely private matter and no other statements will be made."