No supercritical supercurvature mode conjecture in one-bubble open inflation

Abstract

In the path integral approach to false vacuum decay with the effect of gravity, there is an unsolved problem, called the negative mode problem. We show that the appearance of a supercritical supercurvature mode in the one-bubble open inflation scenario is equivalent to the existence of a negative mode around the Euclidean bounce solution. Supercritical supercurvature modes are those whose mode functions diverge exponentially for large spatial radius on the time constant hypersurface of the open universe. Then we propose a conjecture that there should be ``no supercritical supercurvature mode''. For a class of models that contains a wide variety of tunneling potentials, this conjecture is shown to be correct.

11 pages, 3 postscript figures, tarred, gzipped. submitted to Phys. Rev. D15

References in corpus (2)

• Open Inflation Without False Vacua
• On the quadratic action of the Hawking-Turok instanton

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• Exact Coleman-de Luccia Instantons
• An Open Universe from Valley Bounce
• Cosmological perturbations in FRW model with scalar field within Hamilton-Jacobi formalism and symplectic projector method
• Freezing lakes as analogue models of $\Lambda$CDM cosmology and beyond