I am a prospective PhD student in the humanities and I have already got in touch with a potential advisor in the university I would really like to work in. I have drafted a research proposal (as I have to submit one with my application) and sent it to him for feedback.
At the same time, I am planning to apply at other universities as well, my first choice being very competitive. I have already found a couple faculty in other uni's I'd be also happy to work with (same research interests etc). Problem is they both require a research project draft when making first contact.
My question is: is it OK or 'ethical' to send the very same research proposal to a few different potential advisors? How common is it? Am I really free to contact as many advisors as I want, hear from them and then pick the one I want to work with (assuming more than one are willing to take me in, on their part)?
I know this might sound anxious but I really don't know how it works when it comes to the 'application etiquette.' Thank you all!