Kate Bosworth: Coachella with Alexander Skarsgard!

Kate Bosworth and her boyfriend Alexander Skarsgard check out the third and final day of the 2010 Coachella Valley Music and Arts Festival on Sunday (April 18) in Indio, Calif.

Unfortunately, Alex is cut out in a lot of the pictures. But you can see the back of his silver necklace, his ripped white t-shirt, black jeans and black boots!

Others pictures include Alex the day before pulling up his pants!

Yesterday, Alex had to be restrained by a police officer during Coachella.

FYI: Kate is wearing J Brand “1043″ shorts in neptune.

15+ pictures inside of Coachella couple Kate Bosworth and Alexander Skarsgard…