Technically they can since she was stricken from the Naval Register in 1942 so the name is available for use. As a practical matter, even if they were building BBs it is extremely unlikely that either USS Maine or USS Arizona would be used because of the historical significance of their losses. Same reason why there has been a USS Enterprise in service pretty much nonstop since the late 1930s with the only major gap 1947-58 as they designed the nuclear carriers.
Aaaaaand 3 February 2017 until someday in 2025, when PCU
Enterprise CVN-80 gets commissioned.
Now, if you include PCUs, then yes, that gap is cut down to six months, not long enough to warrant mention, but you specified a
USS Enterprise.
Exactly, you just made my point. What makes Arizona so special? And technically, we were at war. Japan sent a declaration. Not our fault we couldn't decode it quickly enough. Even if we weren't it still doesn't make much of a difference. Look at Titanic. There have been multiple proposals to launch a new ship with that name. Arizona hasn't even gotten one proposal. So Americans are just being overly sentimental and a bit hypocritical. (regular sentiment I can understand but this is over the top) The latter because there is now a ship in the US Navy that was built with WTC steel and named USS New York. If Americans can build a ship not just named but practically part of a far more recent disaster, why not build one from 80 years ago?
And I'm looking at this from a historians perspective here. I am American and can understand to a degree the sentiment surrounding Pearl Harbor. But a historian needs to remain unbiased so I am. That's why I sound so harsh about this. I'm trying to be sensible, not sentimental.
My guess is that the Navy would consider it disrespectful to Ari's survivors to even propose reusing her name until the last of them passes away; while she was technically stricken from the Naval Register in 1942, it's a common myth that she is still considered to be In Commission even today, and at this point, it'd be a lot easier to explain
after the last people who actually remember World War Two from personal experience are gone. The steel
Constitution that we were going to build before the Washington Treaty was signed is a bit different, as the wooden one has a nickname that had entered the popular culture so much that even non-naval types know what you mean when you refer to "Old Ironsides," allowing the Navy to officially change her name to USS
Old Ironsides to clear the way for it. (It was then changed back in the 30s, once it became clear that we weren't going to build any battlecruisers. The name was not unprecedented, either; in the mid-19th century, we had a steam frigate named
New Ironsides in her honor.)
USS
New York LPD-21 is a special case; she is officially named for the
state of New York, and is an exception from the normal naming system in two ways (state names are currently reserved for submarines, and LPDs are generally named for US cities). The name was granted after a special request by the governor of New York after 9/11, as he wished to see the name on a surface ship, and honestly, shouldn't have been approved (as USS
New York City would have fit the naming scheme, and was free, with the submarine bearing that name having been decommissioned). The use of WTC steel in her is widely overstated; she uses 6.4 tons of steel salvaged from the WTC as part of her stem bar (a component of the bow), out of 24,900 tons of steel in her--so little as to be merely a symbolic gesture.