display a different name from the 'real' URL name

I need to change an incoming http request - for www.pathfinder.com/T/client/care/login.html - to look like www.Theshop/care/login.html in the "URL" line on the browser. How can this be done with using "URL" re-write? I've tried RewriteEngine on RewriteRule "^www.pathfinder.com/T/clients/care/$" "www.Theshop.com/care/" but this doesn't seem to work.