has named her new baby Bear Blu.
The 34-year-old actress and her husband Christopher Jarecki, 40, welcomed their first child into the world on May 5, and her spokesperson has no confirmed the name of the tot, also revealing he weighed in at 7lbs 15oz.
The representative added: "Mom and Dad are completely in love with their beautiful baby boy."
It has been reported that the actress had a water birth
at an unspecified Los Angeles medical facility, but has already returned home with her son.
Before getting pregnant, Alicia made no secret of her desire to have a baby, and admitted wearing a pregnancy
fat suit for her part in the critically acclaimed Broadway play 'Time Stands Still' made her even more broody.
She previously said: "Wearing a pregnancy suit was so much fun. I loved the feeling of pretending to be pregnant and having little arms and legs and this big belly.
"I've been wanting to have a baby since I was two years old - I'm destined to be a mother."
The 'Clueless' star and Christopher wed in June 2005 on the shores of Lake Tahoe, California, after dating
for eight years.