This HuffPo link claims that the music in this trailer is part of Zimmers score.
http://www.huffingtonpost.com/2013/0...n_3097225.html
Starring Henry Cavill as the title man of mettle and buoyed by a pulsing, driving musical score -- which, the Los Angeles Times notes, is a tease of the film's actual score by Oscar winner Hans Zimmer; Warner Bros. confirmed to HuffPost Entertainment that it is ZImmer's work