On cosmological perturbations in FRW model with scalar field and false vacuum decay
Abstract
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''.
Keywords
Cite
@article{arxiv.gr-qc/0001041,
title = {On cosmological perturbations in FRW model with scalar field and false vacuum decay},
author = {Arsen Khvedelidze and George Lavrelashvili and Takahiro Tanaka},
journal= {arXiv preprint arXiv:gr-qc/0001041},
year = {2009}
}
Comments
4 p., Revtex. No changes in the text. Accepted for publication in Phys. Rev. D