"She hasn't told me that, and until she does, I won't tell her names," Anakin replied. He paused. "But I won't stop you from telling her Luke's if she promises not to investigate at all at home. Padmé's is different. There there only four people alive in her galaxy who know of the link between the two of us, and one of them is the Emperor. Even if Vader could convince himself not to investigate, the Emperor never would. Bail Organa hasn't told her about her real mother and he knew who she is, even if I don't think he knew about me. In this instance, I defer to his judgment of the dangers involved."