This website is hosted on a shared server. I've recently had my hosting provider secure our website using SSL (https://domain.com instead of http://domain.com). Ever since then, all https requests sent to the server are redirected to my website. https://otherdomain.com leads to a warning, then, if you continue, to my website. Ok, my fault, i should have known SSL means 1 IP, otherwise, this thing can happen. But...

Google Search results for my website's target keywords is now displaying these websites above my own, even though they have nothing even remotely related to the target keywords!

already done:

• provide canonical url in the html page.
• told the problem to the server manager, who tells me it's normal but he'll look for a solution. This was one week ago, no answer since.

I have no idea why Google is providing these https urls: i thought someone would have to submit them, or have them inside an html page in order for Google to actually index dummy https domains, but i see no reason why someone would do that.

Any suggestion on how to solve this situation? Golive is in one week and SEO looks really bad because of that.