(CNN) Filmmaker Ron Howard and producer Brian Grazer have joined the list of Hollywood stars who say they will boycott Georgia after the state's governor signed the controversial "heartbeat bill" into law.

Howard and Grazer, who run Imagine Entertainment, told The Hollywood Reporter in an exclusive statement that although they are continuing with their plans to film the movie " Hillbilly Elegy " in Georgia next month, they will boycott the state as a production center if the law goes into effect in January.

"We see Governor Kemp's bill as a direct attack on women's rights, and we will be making a donation to the (American Civil Liberties Union) to support their battle against this oppressive legislation," the statement read.

CNN has reached out to representatives for Imagine Entertainment and Howard for comment, but has not yet heard back.

Georgia Gov. Brian Kemp signed the "heartbeat bill" into law on May 7. The bill would ban abortions after a fetal heartbeat can be detected, which can be as early as six weeks into a pregnancy. The ACLU has said it will challenge the new law in court. The measure is set to go into effect January 1.

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