David Boreanaz

David Boreanaz’s bundle of joy has arrived. Wife Jaime Bergman delivered the couple’s second child, daughter Bardot Vita Boreanaz, on Monday, PEOPLE has learned exclusively.

Baby Bardot weighed in at 7 lbs., 14 oz., and joins big brother Jaden Rayne, 7, at home.

The birth comes as a relief to Bones star Boreanaz, who had been staying close to home in case Bergman, who had been on bed-rest, went into labor.

"I must maintain a 20-mile radius. I cannot travel beyond that," the former Angel star, 40, told PEOPLE recently. "If I do, I’ll freak out – I have to be there when the baby comes."

Now that Bardot has arrived, the couple can breathe easy.

"We’ve been trying to have another baby for a couple of years now so we are beyond excited," Bergman, 33, recently told PEOPLE’s Celebrity Baby Blog. "We’re over the moon.”

The new season of Bones will premiere Sept. 17 at 8 p.m. EST on Fox.