The attorney for Missouri Gov. Eric Greitens says the governor will not resign, despite calls from four Republican lawmakers for him to step down after he acknowledged an extramarital affair.

Attorney Jim Bennett also said Tuesday that Greitens has not reached a financial settlement with the St. Louis hairdresser with whom he had an affair in 2015, and she has not signed a non-disclosure agreement.

House members Kathie Conway, Steve Cookson, Marsha Haefner and Nate Walker all released statements Tuesday saying the Republican governor should consider stepping aside.

Greitens has remained out of the public eye since acknowledging late Wednesday that he had been "unfaithful" to his wife. His attorney has denied more lurid allegations related to the affair.

The St. Louis circuit attorney's office opened a criminal investigation. Al Watkins, an attorney for the woman's ex-husband, says he turned over several hours of audio recordings between the woman and her ex-husband. He declined to comment about the content of the recordings.