The Red Hot Chili Peppers singer, 45, and Christie, 22, a former model, recently ended their relationship of more than three years and have been living apart since June, according to sources.
The former couple have a son together, Everly Bear, who was born last October.
"Anthony is a great dad and I will love him forever for giving me the gift of life," Christie tells PEOPLE. "I really hope he finds what he's looking for."
Kiedis's rep had no comment on the split.