Kristen Stewart and Robert Pattinson will not share custody of their dog, because people who share custody of pets post-breakup are weird. 9.70K A.J. Daulerio 07/31/12 03:49PM Filed to: Kristen Stewart Affair Kristen Stewart Affair Gossip Kristen Stewart and Robert Pattinson will not share custody of their dog, because people who share custody of pets post-breakup are weird.