Alexander Skarsgard left lunch at Il Pastaio in Beverly Hills solo yesterday. Alexander is back on the small screen with season four of True Blood, which got off to an exciting start full of twists and turns with Sunday's premiere. Things will be getting even more complicated for his character with what looks like an upcoming memory loss for Eric Northman, but Alexander's real life is running smoothly. He's been hitting the gym when he's not shooting the sexy vampire drama, and later in the Summer he'll be out promoting Straw Dogs. Alexander and his girlfriend, Kate Bosworth, costar in the remake of the '70s hit, and hopefully the duo will hit the red carpet together before its September release.