Alexander Skarsgard toted his iPad 2 as he left the Chateau Marmont solo yesterday. The actor reportedly met up with girlfriend Kate Bosworth at the hotel for a meal before they went their separate ways, but he joined forces with another blond starlet in his latest film — the Melancholia trailer, in which Alexander and Kirsten Dunst play newlyweds, was just released this week. Alexander is also gearing up for the return of True Blood this Summer, as well as the debut of the big-budget Battleship, which also stars Rihanna and Brooklyn Decker, in 2012. In the meantime, he's been hanging out in LA, fitting in workouts at the gym and quality time with Kate. He also reunited with his fellow vampires last month to hype the upcoming premiere of his HBO series. The show returns on June 26, following a cliffhanger season finale last year.