Kate Bosworth and Alexander Skarsgard
Frazer Harrison/Getty; Danny Moloshok/Reuters/Landov
07/28/2011 AT 09:30 AM EDT
After months of speculation about their relationship status, including an analysis of their comings and goings at last January's Golden Globes
, Alexander Skarsgard and Kate Bosworth
have split. And, according to reports, it was not only mutual but a while ago.
The towheaded True Blood
star, 34, and Bosworth, 28, who costar together in this year's upcoming remake of 1971's Straw Dogs
, were first linked
in October 2009, when they were seen making eyes at each other and then hopping into a car at Chateau Marmont in West Hollywood.
The following April, they were cozying up together
at the Coachella Valley Music and Arts Festival – though keeping quiet about their relationship
"We are very good friends," L.A. native Bosworth told PEOPLE
in February 2010. "He's a wonderful, wonderful man. I adore him."
Pressed for further details, she responded: "That's a minefield, man! I'm not stepping into that. I've learned too well from being on that road."
As for what the future may hold for the Stockholm-born Skarsgard, who as vampire Eric Northman has undergone a metamorphosis to mellow on this season of the HBO hit, he told PEOPLE
in 2009 that when it comes to finding the right woman, "A sense of humor is No. 1, for sure. Being funny and smart is very important."