Why no new king of Gondor after Eärnur?

Why wasn't a new king of Gondor chosen after Eärnur died? Like did none of the Gondorian people or lords ever desire to have a new king? Were they so insistent that the king must be Isildurs heir? Or did the stewards have all the Gondorian lords in their pocket? Did no Gondorian lord or military captain ever get power hungry and try and do a coup d'etat?