Looks fascinating.
One thought--weren't Achilles and his "best friend" Patroclus supposed to be gay lovers? Homer's Iliad isn't clear. From my college reading, Patroclus was a very minor character, with his death being only a plot device. But later Greek playwrights like Aeschylus had these two as lovers.
I bring this up only because of Pitt's status as a sex symbol. I doubt seriously that he would agree to be in any role that was remotely gay, not at this stage in his career. But who knows--Leonard Nimoy's Spock became a sex symbol for many female Star Trek fans because he was seen as unattainable.