Not a question with a definite answer - be more specific please. A Governor's Warrant (also known as a "REQUEST FOR EXTRADTION") is applied for when it becomes known that a fugitive from the state has been arrested and detained by another state.
Depends on what the warrant is for
90 days
A Governor's Warrant is also known as a Writ of Extradition. Once the state that wants you has indicated that they will extradite you, the holding state will keep you in jail until the formal legal process of extradition has been accomplished. This is not exactly a speedy process and if you are still in jail, awaiting extradtion, after 90 days I would suggest filing a Writ of Habeus Corpus.
24 hours
It depends on what the offense is that you are wanted for.
I presume you mean a bench warrant, not a beach warrant. You can remain in jail either until a new bail is set and is posted, or until the case is resolved.
"Failure to appear" in Alabama will cause a bench warrant to be issued for your arrest. Usually, you would not be picked up on a bench warrant unless they run your ID for another reason and the warrant shows up. You will be taken to jail under the warrant and will remain there until (a) you post bond, or (b) you go to court. You will be assigned the "next available" court date, sometimes as long as 30 to 60 days out.
24 hours
4 days
You will set in jail until one your court date or two you bail out of jail. bail will depend on what you are being held for.
If no one raises your bail money you will remain in jail until your trial.
A Governors warrant is a special type of warrant and in most States there would be no "expiration". Most warrants per se have no expiration date. Once issued they are good forever (or until the defendant dies).