We study the nucleation process of the vacuum bubbles in curved spacetime. We systematically classify the vacuum bubbles in a de Sitter background and investigate the tunneling between the degenerate vacua in symmetric double‐well potential. We also show that the existence of the small false vacuum bubbles within the true vacuum background in the gravity theory with a nonminimally coupled scalar field. We discuss the dynamics of the bubble after its materialization. This article is prepared for the proceedings of Astrophysics And Cosmology After Gamow in Odessa, Ukraine, Aug 2009.

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