mistaken identity

So, there is at least one woman that has been known to pose nude. I have no problem with this, except that she looks exactly like me 😩 ! My boyfriend found this picture of her (she has my bone structure, lips, mouth, nose, eyebrows, even hairline). 
I don't pose nude. I don't have nearly the confidence for it. But she looks so much like me, it's scary. And because this person is so good at covering their tracks online, I can't prove it's not me. Because of this, he has doubted my honestly and loyalty for the past few months. He has dated liers and cheaters (downright sociopaths, actually), and he saw that I was different from all of them. Now he isn't quite sure what to believe. Because there is no evidence that I am guilty or innocent, he had told me that he didn't think anything will ease his mind. He kept telling me that if I confessed then the consequinces won't be as bad if/when he finds concrete proof. I have seen him cry over this. He doesn't want it to be me, but he has been lied too so many times, he finds it very difficult to trust.
Over the weekend I think I got through to him. He admitted and pointed out a couple small differences between me and the person posing nude. That was a relief, but this is the second time this has come up (there are multiple pictures). Even though he had let go if it (at least mostly), it worries me. 
He and I are perfect for one another. We have so many aspirations and plans. We keep talking about them, but it would kill me to lose him over something I didn't do. The best I can do is be who I really am. We trust, respect, and are loyal to one another. I guess in this day in age, no body knows who is lying. It's easier to assume they lie than trust them. I have my worries for us, but I have hope too.