Won't he be a little suspicious when he sees that he's the only "friend" on that account?
Lol, it's so complicated! Do people on "business" FB ever transfer to "fun" FB? I just googled "facebook etiquette" and got 24,500,000 results.
Yes, some people are on both, and in fact, for some reason, a lot of my "fun" FB people really want to be on my "I friend everybody" FB page. I tell them, "You realize that you're just going to see a lot of posts twice, right? And that you're on the cooler one already?" I think that they think that they're going to be missing out on something, but they aren't.
Fun FBs usually have silly names, and in fact I get a lot of random friend requests from people who I think believe that my fun FB is a band or something else. Some of my FB friends use their first names twice, like Mary Mary, or use their middle names as their last names for their fun FB.
I know one person who is a writer and she's always had two of everything online. She used her public blog to promote her books, which is how she managed to launch her career and begin writing full time. On her friends only private blog that was secure from the public eye, she talked about the problems with her publisher and contracts and other things she kept off her public blog. On her public Facebook page, she friends anyone who requests, all the fans that she can, in order to promote her books. Obviously she couldn't keep track of her real friends and family that way, so she has a private one, too, using a pseudonym that is an anagram of her name.
According this
The New York Times article about Facebook etiquette regarding one's boss, having more than one account is the recommended advice.
Sue Murphy, a manager with the National Human Resources Association trade group, has heard fellow professionals and college students fret about whether to allow employers to join their social sites.
Her advice: Create two online pages - one for socializing, the other for professional purposes.
To the OP: is your boss friends with any other work colleagues? If you're the only one to reject him, or to accept him, it could cause problems.
See, I think this is the problem that we have. If everyone else accepts everyone else's FB and you're the only rejecter, then that's not good. You can't get fired, but you might not be favored. It's a bigger problem with clients than your boss, though, and once you're self-conscious about one client being on your FB, then it's a professional page from then on anyway. A lot of professionals use Facebook to network, so it becomes like a LinkedIn account with a News Feed.