Sitelinks Authority Phobia
Wow man! I have some extra links showing up for my website when searched in google. Woho!! - Relax man those are Sitelinks!
YAHOOOOOOOOOOOO!…. I am a Authory Website. - Relax baby webmaster, before you goto cloud nine, read what I have got in store for you. 
Authority sites and sitelinks aren’t two terms that go together. Once upon a time there were very few sites that had sitelinks hence webmasters termed them Authority Sites.
And it was right to terms them authority sites as they were sites that got traffic, had immense popularity, were important websites.
Siteslinks are links shown in search which google feels that maybe important for a surfer coz those links get more traffic, have more backlinks, maybe searched more or popular.
Foreg: Search google for IBM, Microsoft, Apple.
The above search should give you an idea why google awards sitelinks to websites.
Today mfa, crap, useless websites also get sitelinks. So probably its time you change you definition of Authority Sites.
Sites having sitelinks are no way authority, its only a way found by webmaster to boost their ego even further.
Here is what google has to say about it:
Google’s
Webmaster Central Blog offers
Information about Sitelinks:
“You may have noticed that some search results include a set of links
below them to pages within the site. We’ve just updated our help center with
information on how we generate these links, called Sitelinks,
and why we show them.
Our process for generating Sitelinks is completely automated. We show
them when we think they’ll be most useful to searchers, saving them time from
hunting through web pages to find the information they are looking for. Over
time, we may look for ways to incorporate input from webmasters too.”
Google’s Webmaster Help Center offers their explanation about sitelinks:
How does Google compile the list of links shown below some search results?
“The links shown below some sites in our search results, called
sitelinks, are meant to help users navigate your site. Our systems analyze the
link structure of your site to find shortcuts that will save users time and
allow them to quickly find the information they’re looking for.
We only show sitelinks for results when we think they’ll be useful to the
user. If the structure of your site doesn’t allow our algorithms to find good
sitelinks, or we don’t think that the sitelinks for your site are relevant for
the user’s query, we won’t show them.
At the moment, sitelinks are completely automated. We’re always working
to improve our sitelinks algorithms, and we may incorporate webmaster input in
the future.”
Thanks.: Fuzzuck for some extra information.
So now you understand why Google displays sitelinks for your website? Its not because you are special or authority! 
Anyways, enjoy the feature if you have it.