I appreciate the way you tied transparency to authenticity.  Some of the best trust-building experiences I've experienced involved cases where either the other party or I didn't know the answer to a question or problem.  Rather than "faking it" or distracting the other person, I've found that transparency in admitting you aren't "all knowing" tends to build trust in the relationship.  By presenting yourself authentically and allowing your weaknesses to show a better (and more productive) relationship can be built.