I'm 100% satisfied that the picture we present of these events in the film, including the role playing by Captain Phillips, is authentic. I stand by the picture I give in the film, absolutely.
Unidentified crew members panned the film in an article for The New York Post claiming that "Phillips wasn’t the big leader like he is in the movie." 11 crew members are also pursuing a $50 million lawsuit against the ship's owner and operator for "willful, wanton and conscious disregard for their safety."
Even though Captain Phillips is based on true events, it's still a Hollywood movie, so of course it's going to use some artistic license. As Greengrass himself notes, it's impossible for a 2-hour film to capture "every detail", but on the whole, the movie stays as close as it can to actual events. It's also a fantastic film and Tom Hanks gives a mesmerizing performance as the titular captain.
So what if it's not 100% accurate?