Volume complexity of dS bubbles

In the framework of static patch approach to de Sitter holography introduced in [L. Susskind, J. Hologr. Appl. Phys. 1, 1 (2021)], growth holographic complexity has a hyperfast behavior, which leads divergence finite time. This is very different from anti--de (AdS) spacetime, where instead rate asymptotically reaches constant value. We study volume class AdS geometries include bubbles their interior. With exception bubble case, obtained smooth extremal surfaces are anchored just boundary similar behavior because it grows linearly with The configuration zero and corresponds discontinuous resembles first order phase transition. If we consider at both stretched horizon, find that hyperfast, as case.