But if you're hoping their co-star Elizabeth Reaser, who plays vampire matriarch Esme Cullen, has any insight into their dating status, it seems she is the wrong girl to ask.
"Oh! I don't know!" she laughed when asked about the rumors when she stopped by the MTV Newsroom earlier this week. "I haven't talked to Rob or Kristen in a while, so I have no idea. Like I said, you probably know way more than I do."