Kristen Stewart and Robert Pattinson are already fighting over something Robert Pattinson and Kristen Stewart Wed-01-Aug-12 07:46 Share this By Jay-Jay FeeneyKristen Stewart and Robert Pattinson Are Fighting Over Custody . . . of The Dog!Early last year they adopted a mutt named Bear from a high-kill shelter in New Orleans. And neither of them wants to give him up. You May Also Like Kristen Stewart wants to shave her head R-Patz & Katy Perry's terrible karaoke duet RPatz is dating Sean Penn's daughter Become a fan of The Edge on Facebook and on Twitter .