Fusible has news that a bunch of domains related to Batman and Arkham have been registered, though it's not readily apparent if these relate to movies, games, or both (thanks GameSpot). The owners of the domains are hidden by a privacy service, but they also note that Warner Bros. is a known client of this service. Here are the new domains:

arkhamuniverse.com (Arkham Universe)
batmanarkahmuniverse.com (Batman Arkham Universe)
batmanarkhamarises.com (Batman Arkham Arises)
batmanarkhambegins.com (Batman Arkham Begins)
batmanarkhamdarkknight.com (Batman Arkham Dark Knight)
batmanarkhamknight.com (Batman Arkham Knight)
batmanarkhamlegend.com (Batman Arkham Legend)
batmanarkhamlegends.com (Batman Arkham Legends)
batmanarkhamnight.com (Batman Arkham Night)
batmanarkhamorigins.com (Batman Arkham Origins)
batmanarkhamstories.com (Batman Arkham Stories)
darkknightarkham.com (Dark Knight Arkham)
dcarkhamuniverse.com (DC Arkham Universe)
dcarkhamverse.com (DC Arkhamverse)
thearkhamuniverse.com (The Arkham Universe)