I didn't know he gave out his Facebook...?
There's his Twitter (twiddleston). または あなた could try sending him a letter (
link).
EDIT: I'd like to add something about the Facebook. He has not linked it on his Twitter. It is not linked on his web/contact site. To my knowledge, he has not mentioned it in any interview. (Feel free to correct me, if あなた can. I haven't read または seen
all of his interviews, but I've seen a good majority.)
Tom loves interacting with his fans, so if he hasn't 与えられた out his Facebook, it's because he wants to keep it private. If あなた (think you) found his Facebook,
do not contact him through it. Let the man have his privacy, and use the ways he has willingly 与えられた us to contact him.