Rebecca Gayheart and Her Great Dane

Rebecca Gayheart and her hunky husband Eric Dane soak in the sun during a getaway on St. Barts on Thursday.

Dane, who stars as Dr. Mark “McSteamy” Sloane on Grey’s Anatomy, has recently addressed his marriage to Gayheart: “It is great. I don’t know how I got so lucky.” And apparently, the two of them are “working on” kids. Lots of… Private Practice.

Eric, 35, and Rebecca, 36, were recently among the 68 friends and family at Charlie Sheen‘s wedding last month. The couple first introduced Charlie to his real estate investor wife Brooke Mueller in 2006.