The Black Swan and True Grit scores are ineligible because they are, "diluted by the use of tracked themes or other pre-existing music," according to a source. The Fighter and The Kids Are All Right scores are, "diminished in impact by the predominant use of songs," which goes against the Academy's strict music rules.
Clint Mansell's score for Black Swan is mainly adapted from the Tchaikofsky ballet Swan Lake, while Carter Burwell's True Grit is largely based on 19th Century hymns and wasn't "original" enough for the Academy. Carter Burwell also scored The Kids Are All Right, where the use of original songs took too much away from the score, like Michael Brook's score for The Fighter.
Black Swan was released December 3rd, 2010 and stars Natalie Portman, Mila Kunis, Vincent Cassel, Barbara Hershey, Winona Ryder, Benjamin Millepied, Ksenia Solo, Kristina Anapau. The film is directed by Darren Aronofsky.
The Fighter was released December 10th, 2010 and stars Christian Bale, Mark Wahlberg, Amy Adams, Melissa Leo, Dendrie Taylor, Jack McGee, Jenna Lamia, Bianca Hunter. The film is directed by David O. Russell.
The Kids Are All Right was released July 9th, 2010 and stars Julianne Moore, Annette Bening, Mark Ruffalo, Mia Wasikowska, Josh Hutcherson, Yaya DaCosta, Kunal Sharma, Eddie Hassell. The film is directed by Lisa Cholodenko.