I just accepted an offer after the usual cycle of tenure-track applications starting in December. However, there's another job posting I'm very interested in that was just posted now for some reason(*). Is it possible for me to apply anyway? On one hand I'm just curious to see if I might get interviewed at least, on the other hand I'm pretty happy with the job I accepted, but this second one is closer to home, so I might want to try to negotiate a double position or something (spending half the year at either university). Field is math btw, both are TT positions.
Assuming it is not unreasonable to apply (don't want to get on people's bad side), I assume I should explain the situation in the cover letter. So I guess part of the problem is coming up with a "valid" motivation for applying. If I tell them straight up I only want a double position, they might not consider my application at all(?).
(*) I don't understand why it's posted so late. It also says review will begin immediately - maybe they already have someone in mind?