Do Facebook fan pages with a fan gate get indexed by Google?

Question

I'm working on a Facebook fan page app (a page tab) with a 'like' fan gate (users that like the page see the real content, and users that don't see only a "like us" image).
The thing is I need the fan page to be found on Google's search.
Should the fact that only fans can enter the app in any way affect the Google bots? I am currently assuming that it does, but I want to be sure.
And if it does it mean that I have no control over the fan page's SEO?
I have read about SEO, but I haven't found anything about this.
I would be very happy if someone here could help me, even refer me to some documentation or anything about it.
Thanks!

Answer 1

Your presumption is correct. Here are two workarounds:

1. Detect Google's User-Agent and display the un-gated content when appropriate.

2. Gate the page with a div overlay so that all the ungated content is still there, but simply unavailable to the user until she clicks Like.