Years after the fall of the Espada, The remaining Arrancar were without a system of leadership. What seemed like an endless stream of wars,Just kept going and going. Thousands died while fighting for control of Hueco Mundo. Not all of the Arrancar fought however. Some sat back and watched as the others killed each other in the pointless battles. To be exact, there were 10 Arrancar that refused to fight, or if they did, claimed some dominion. Each of these ten claimed a section of Huco Mundo as their own. The ten came to a pact, to co-exist without war. They had a much bigger enemy to face than just themselves. The Soul Society was a force to be reckoned with, And they could not be off guard. The Ten would have equal status in this new government. All those who chose to follow a God King would have their protection in exchange for servitude.
To be a God King, one would need a Taurus or Leo app at least. And must state in their history their accention to the "throne" of which ever territory they choose.