Analytic Coleman-De Luccia Geometries
arXiv:1109.0011 · doi:10.1088/1475-7516/2011/11/044
Abstract
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 $V(Ï)$, 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.
18 pages, 5 figures; (v3) removed a footnote, other minor corrections, version published in JCAP