Jury selection began in a New Orleans court for a federal lawsuit lodged against Costner by Baldwin and business partner, Spyridon C. Contogouris.

The suit alleges that Costner, best known for his performance in "Field of Dreams" and "The Bodyguard," cheated Baldwin and Contogouris out of their share of a multi-million dollar deal under which BP bought 32 oil and water separation devices that were developed by a Costner-owned company.

The deal was struck after the Macondo well blew out in April 2010, spewing more than 4 million barrels of crude into the Gulf of Mexico in the largest accidental oil spill in history.

According to the suit, Baldwin and Contogouris claim they were not told about the deal with BP before they agreed to sell their shares in a company that had been set up to market Costner's extraction devices. As a result, they charge they were duped out of a portion of an $18 million deposit from BP for the devices.

Both actors were expected to appear in court every day of the trial.

(Reporting By Lily Kuo; Editing by Cynthia Osterman)

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