I also noticed that, when i logon to subscriber using my username the server url works fine, but when i logon using another windows username, the url shows warning.

There is a problem with this website's security certificate. 
 The security certificate presented by this website was not issued by a trusted certificate authority.
Security certificate problems may indicate an attempt to fool you or intercept any data you send to the server.  
  We recommend that you close this webpage and do not continue to this website

I read somewhere that since sql server uses a service account to logon, the security certificate should be installed in the local computer store.
My certification Authority is Thawte and i am using a trial certificate for which the certification authority is not the default as it normally is but a Test CA. For which they gave me another certificate which needs to be added to Trusted CA.
I added both certificates to all Types of Local Computer stores except Untrusted. But still i get warning on using another username.

How can i stop this warning? or suggest how to generate my own certificate and solve this problem. I don't have a static ip yet which i will get in a few days.