The chemistry thing is gonna be really important in this case though and it'll be interesting to see how the shortlist for Catwoman ultimately ends up being once chemistry tests start happening.
Pattinson, though a great actor, isn't exactly the type that can develop romantic or even sexual chemistry onsceen with anybody.
He didn't have it with Reese Witherspoon in an otherwise pretty decent flick (Water for the Elephants), didn't have it with Uma Thurman in Bel Ami, and while the Twilight films had terrible scripts and terrible direction, he should've at least been able to have chemistry with Kirsten Stewart since she was well, his real girlfriend and that as far as I can see wasn't the case. And heck, if he wasn't able to have chemistry onscreen with his real girlfriend that means he really needs someone ridiculously specific to have chemistry with.
The only actresses I've seen him have chemistry with are Emilie de Ravin (Remember Me) and
Mia Wasikowska (Map to the Stars, but even then they probably had it in that movie because they get along well in real life and in that movie they were basically playing themselves)
It'll be interesting to see how the list ends up being and which actress ultimately has chemistry with Pattinson.