In the wake of reports that he's in a relationship with Madonna, several media outlets reported that his wife has left him for Lenny Kravitz.
In response to reports that Cynthia Rodriguez, 34, ran off to Paris with him, Kravitz issued a statement first posted on perezhilton.com Thursday: "There is absolutely no affair between Cynthia Rodriguez and myself. This is unequivocally 100 percent not true."
Kravitz, who is currently on tour in Europe, said that Cynthia is there with him as a friend.
"Cynthia is a friend and is here with the godfather of her baby, who is also Alex's trainer, his wife and their baby girl," Kravitz said in the statement. "She came here to escape from everything happening in New York City. I opened my home to her as a friend and I find it extremely hurtful that I am now being referred to as an adulterer."
According to the New York Daily News, several sources say A-Rod and his wife's five-year marriage is over. (The couple have two daughters: Natasha, 3, and Ella, who was born April 21.) When asked about a possible split, Cynthia's mother, Evangeline Scurtis, told the paper, "No comment."
The news of the split comes after published reports linking the Yankee star to Madonna. The singer's rep denied that she was divorcing Guy Ritchie and said that she and Rodriguez "know each other and Madonna took her kids to a Yankees game last week. There's really not anything to comment on beyond that."
Even some friends in Miami who believe that A-Rod's marriage is solid acknowledge he and his wife haven't spent much time together recently.
"Cynthia and Alex are totally committed to each other," pal Lea Black, a Miami philanthropist, tells PEOPLE. "Right now, with the new baby, it is hard for Cynthia to travel to New York, and it was equally as frustrating on Mother's and Father's Day with his baseball schedule."
Reporting by LINDA MARX