Alexander Skarsgard sported shades as he stopped by Urth Cafe in LA on Friday morning. The actor has been laying low in CA while his girlfriend, Kate Bosworth, shoots her latest project BFF and Baby. Alex popped by to bring Kate lunch on set this week as he takes a break between projects. He spent his Summer in Hawaii filming Battleship alongside Rihanna, and has since been enjoying taking Kate on dates rather than getting into costume. He'll be back to work in the coming weeks, though, when True Blood starts shooting season four. While fans wait for the show's return, they can get a fix of Alexander's hot costar Ryan Kwanten, who models in the latest ad campaign for the Gap, celebrate casting news, and enjoy Buzz's gift guide suggestions for the vampire lover in your life .