Aragorn's the man who was so in love with Arwen. So if he didn't get this girl, he still couldn't abandon Gondor just for a stupid elf maid. If he did, then Gandy would beat him on the head with a staff. Also, the people of Gondor were so excited at the ROTk,
maybe theuy'll kill Aragorn ....
But then again, I don't think Aragorn could abandon Gondor just because Arwen went to the eldamar thing.He might've ended up with Eowyn.