  Recent developments in anti-de Sitter holography point towards the
association of an infinite class of covariant objects, the simplest one being
codimension-one extremal volumes, with quantum computational complexity in the
microscopic description. One of the defining features of these gravitational
complexity proposals is describing the persistent growth of black hole interior
in classical gravity. It is tempting to assume that the gravitational
complexity proposals apply also to gravity outside their native anti-de Sitter
setting in which case they may reveal new truths about these cases with much
less understood microscopics. Recent first steps in this direction in de Sitter
static patch demonstrated a very different behavior from anti-de Sitter
holography deemed hyperfast growth: diverging complexification rate after a
finite time. We show that this feature is not a necessity and among
gravitational complexity proposals there are ones, which predict linear or
exponential late-time growth behaviors for complexity in de Sitter static
patches persisting classically forever.

High Energy Physics - Theory;General Relativity and Quantum Cosmology