By Tanner Stransky
Updated September 18, 2009 at 09:54 AM EDT

Matt Damon has signed up to star in Clint Eastwood’s next producing-directing project, the thriller Hereafter, and will begin shooting this fall, according to Variety. The film is said to have a supernatural vibe and the logline is being kept under wraps. Warner Bros., the studio behind the film, has thus far only described Hereafter as a thriller in the vein of The Sixth Sense.