  We present the necessary and sufficient conditions for a Euclidean scale
factor to be a solution of the Coleman-De Luccia equations for some analytic
potential $V(\phi)$, with a Lorentzian continuation describing the growth of a
bubble of lower-energy vacuum surrounded by higher-energy vacuum. We then give
a set of explicit examples that satisfy the conditions and thus are closed-form
analytic examples of Coleman-De Luccia geometries.

High Energy Physics - Theory;General Relativity and Quantum Cosmology