The affidavit says Charlie Sheen denied threatening her with a knife.
Sheen was arrested Christmas Day on suspicion of menacing, second-degree assault and criminal mischief.
The 44-year-old Charlie Sheen is free on $8,500 bond. His lawyer and his agent didn't immediately return calls on Monday.
In an emergency call released Monday, a woman who identifies herself as Sheen's wife says she feared for her life.
