Kate Bosworth brought her dog to the vet in LA yesterday before meeting boyfriend Alexander Skarsgard out for lunch. Their day date was following a night out at a Broken Bells concert together on Wednesday showing that they're going strong despite rumors of a split over the Summer. He's back in California after a trip home to Sweden and a stop in Germany for Oktoberfest. He'll stick around for this month's Spike TV Scream Awards, where he's nominated for best horror actor alongside True Blood costar Stephen Moyer. Meanwhile, Kate's been launching a new jewelry website and is getting ready to shoot BFF and Baby with Krysten Ritter and Rachel Bilson.
Lots more of Kate and Alex, so