On cosmological perturbations in FRW model with scalar field and false vacuum decay

Details On cosmological perturbations in FRW model with scalar field and false vacuum decay On cosmological perturbations in FRW model with scalar field and false vacuum decay

2000-01-15

arxiv.org/abs/gr-qc/0001041v3

Phys.Rev. D62 (2000) 083501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 p., Revtex. No changes in the text. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.083501

The unconstrained reduced action corresponding to the dynamics of scalar fluctuations about the Friedmann-Robertson-Walker (FRW) background is derived using Dirac's method of description of singular Lagrangian systems. The results are applied to so-called negative mode problem in description of tunneling transitions with gravity. With our special choice of physical variable, the kinetic term of the reduced action has a conventional signature for a wide class of models. In this representation, the existence of a negative mode justifying the false vacuum decay picture turns out to be manifest. We also explain how the present result becomes consistent with the previously proved ``no negative mode (supercritical supercurvature mode) theorem''.

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