Need to redirect an HTTPS web site (ex : www.testHTTPS1.com) to another HTTPS site : (ex : www.HTTPS2.com)
This does not seem to be possible :
01071912:3: HTTP_REQUEST event in rule (/Common/BlablaHTTPS) requires an associated HTTP or FASTHTTP profile on the virtual-server (/Common/BlablaHTTPS_VS).
You can only perform HTTP operations (like redirects) if you have an http profile attached to the vserver.
In the case of HTTPS this also means you need to terminate the TLS tunnel on your bigip, in order to even get to the http content. Otherwise all your bigip sees is encrypted packets and you wouldn't be able to manipulate the HTTP requests/responses.