cannot remove $base_url address from a link
You need to prefix http:// with your link. If you will not add prefix http:// with your link, Drupal will treat this as internal url of Drupal site.

So, you should add url http://www.google.com in your content.

Or you can use Link module to create a link field.


  With link module links can be added easily to any content types and
  profiles and include advanced validating and different ways of storing
  internal or external links and URLs. It also supports additional link
  text title, site wide tokens for titles and title attributes, target
  attributes, css class attribution, static repeating values, input
  conversion, and many more.