BioShock: Infinite's first story DLC is coming soon. Burial at Sea will put Booker and Elizabeth in Rapture before the fall. Its pastiche is noir, with Booker as the private eye and Elizabeth as the fem fatale that comes to him with a case.
Irrational Games has released a video of the first 5 minutes of the game. Beware spoilers within.
BioShock Infinite: Burial at Sea will be coming to the PS3 and all other platforms with BioShock: Infinite. There is no announced release date yet.