Analytic Coleman-De Luccia Geometries

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 $V(\varphi )$, 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

References in corpus (2)

• A Holographic Framework for Eternal Inflation
• Nonperturbative Instability of AdS_5 x S^5/Z_k

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