The estranged couple seek to "maintain the privacy and integrity" of their family

Mel Gibson’s wife of nearly 30 years, Robyn Moore, has filed for divorce, PEOPLE has confirmed.

The couple released the following statement Monday: “Throughout our marriage and separation we have always strived to maintain the privacy and integrity of our family and will continue to do so.”

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Moore, 53, citing irreconcilable differences, is seeking joint physical and legal custody over their minor child, Thomas, 9, according to court papers. She is also seeking spousal support and attorney’s fees, and is asking the court to deny her husband any spousal support.