No supercritical supercurvature mode conjecture in one-bubble open inflation

Details No supercritical supercurvature mode conjecture in one-bubble open inflation No supercritical supercurvature mode conjecture in one-bubble open inflation

1998-08-06

arxiv.org/abs/gr-qc/9808018v1

Phys.Rev.D59:023506,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.59.023506

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.

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