  Gravitational effective theories associated with holographic CFTs have
cosmological solutions, which are typically big-bang / big-crunch cosmologies.
These solutions are not asymptotically AdS, so they are not dual to
finite-energy states of the CFT. However, we can find solutions with
arbitrarily large spherical bubbles of such cosmologies embedded in
asymptotically AdS spacetimes where the exterior of the bubble is
Schwarzschild-AdS. In this paper, we explore such solutions and their possible
CFT dual descriptions. Starting with a cosmological solution with $\Lambda < 0$
plus arbitrary matter density, radiation density, and spatial curvature, we
show that a comoving bubble of arbitrary size can be embedded in a geometry
with AdS-Schwarzschild exterior across a thin-shell domain wall comprised of
pressureless matter. We show that in most cases (in particular, for arbitrarily
large bubbles with an arbitrarily small negative spatial curvature) the entropy
of the black hole exceeds the (radiation) entropy in the cosmological bubble,
suggesting that a faithful CFT description is possible. We show that unlike the
case of a de Sitter bubble, the Euclidean continuation of these cosmological
solutions is sensible and suggests a specific construction of CFT states dual
to the cosmological solutions via Euclidean path integral.
