By Jay A. Fernandez

Overture Films has thrown its new trailer for “Brooklyn’s Finest” up exclusively on Apple.

You can watch it here.

The gritty Antoine Fuqua-directed film, which stars Ethan Hawke, Richard Gere and Don Cheadle as three cops pushing the edge of burnout, was one of the first big sales of the 2009 Sundance Film Festival back in January (THR reports on the 2010 lineup, announced yesterday, here and here).

The film is intricately plotted, showcases some powerhouse performances and earns its R rating. But many viewers in Sundance suggested that the film’s relentless bleakness and over-the-top (if uncompromising) ending would require some editorial massaging before the film hit mainstream theaters.

Of special, bravura mention for this particular viewer is a lengthy, increasingly emotional voiceover monologue that unspools over cutaways to other characters’ actions while the one speaking engages in a sex act to its logically satisfying conclusion. At first laughable, I eventually decided it deserves kudos for its audaciousness. Let’s hope that sequence wasn’t, uh, touched.

Written by newcomer Michael C. Martin, “Finest” hits theaters March 5.