By Tanner Stransky
August 05, 2009 at 10:03 AM EDT

Adam Beach — best known for his roles in Flags of Our Fathers, Bury My Heart at Wounded Knee, and NBC’s Law & Order: SVU — has signed on to star opposite pro wrestler “Stone Cold” Steve Austin in action flick The Stranger, according to the Hollywood Reporter. In the man-on-the-run story, Beach will play an FBI agent who’s charged with tracking down a material witness (Austin) involved in an investigation. The Stranger is set to begin filming this week in Vancouver. Beach is set for a featured role on the next season of HBO’s Big Love.