Fubini instantons in curved space

Abstract

We study Fubini instantons of a self-gravitating scalar field. The Fubini instanton describes the decay of a vacuum state under tunneling instead of rolling in the presence of a tachyonic potential. The tunneling occurs from the maximum of the potential, which is a vacuum state, to any arbitrary state, belonging to the tunneling without any barrier. We consider two different types of the tachyonic potential. One has only a quartic term. The other has both the quartic and quadratic terms. We show that, there exist several kinds of new O(4)-symmetric Fubini instanton solution, which are possible only if gravity is taken into account. One type of them has the structure with $Z_2$ symmetry. This type of the solution is possible only in the de Sitter background. We discuss on the interpretation of the solutions with $Z_2$ symmetry.

28 pages, 9 figures. The section 3 was modified, references are added, and we discussed on the negative mode problem in the last section

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• Oscillating Fubini instantons in curved space
• Zoology of instanton solutions in flat potential barriers
• Massive (pesudo)Scalars in AdS${}_4$, SO(4) Invariant Solutions and Holography
• Instantons near a tachyonic top in anti de Sitter and the no-boundary regulator
• Goldstone Boson Effects on Vacuum Decay