Shepard's 90-minute play recounts a painful love story. In a seedy motel room in southern California, a couple examines their differing views of their relationship as well as their lives as children.
Frost returned to the stage earlier this year to star in the one-woman play Touched at Trafalgar Studios. Barat is best known as the former co-frontman of f the Libertines. His subsequent band, Dirty Pretty Things, broke up in 2008.
The season will also includes Shakespeare's Richard III (February 2-March 21), directed by Ben Kidd and featuring Frost as Lady Anne and Carl Prekopp in the title role, and a devised piece called Demi Monde (February 16-March 17), inspired by the designer and socialist William Morris.
For further information, visit www.whatsonstage.com.