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Other 2 dragon brothers of Arceus and Giratina will have the same fate as Giratina, to exist trapped in a dimension they can't escape, forced to sustain the universes with their being and to serve Arceus with their powers.
Palkia, the Pearl. The entity of happiness, space and dimensions.
And Dialga, the Diamond. The entity of love, time and timelines.
It seems that their stance on the situation is less prevalent than Giratina, but yet bound to the same will and destiny due to their closer vicinance to the Giants than to Arceus's vision. It seems that at first they were free to roam their universes, but probably after rebelling to Arceus or getting closer to their brother Giratina, Arceus doomed them to an existence of containment as well.
The 3 Dragons together form and sustain the physical multiverse, the very base and pillars of the multiverse.