Use the Search URL page to specify the server name to be used for the Search and Retrieval Website:
If you access the Search and Retrieval Website internally using an external name, specifically, a name which has dots in it, then you may need to add this site to your Trusted sites list in Internet Explorer to avoid an authentication request. This can be done centrally using a Group Policy.
Turn on Use SSL if you require an SSL connection to your Search and Retrieval Website.