Is Bradley Cooper in The Man Of Steel?

Take this as a rumor for now, but it's a rumor that's hard to ignore.  It seems that Bradley Cooper may be making a cameo in Superman: The Man Of Steel.  He was currently filming Paradise Lost, but the film has been put on hold due to budget cuts, so his schedule became free.  Word has it that he may be playing Lex Luthor to set up future sequels to Zach Snyder's reboot of the Superman franchise.  No word yet from Warner Brothers if this is all true or not so for now take it with a grain of Kryptonite!