Unlike the 'cousins' of the West, the Eastern Empire is rich and can have important resources, thanks to the commercial benefits with Rome.
We will negotiate with menacing barbarians, but also have to deal with court intrigues and the ever-present threat Sassanid who declared war on Rome. Our job is primarily to keep the Western Roman Empire safe from migration of Eastern barbarians. The new capital was Constantinople, and all taxes and income end up there and no longer in Rome.
While leading to a split, however, the two sides do not make war but agree to cooperate against outside invaders.
Eastern Roman Empire: The Eastern Roman Empire was born from the split of the great Roman Empire that no longer recognizes itself in the authority of Rome.