English

False vacuum decay with gravity in a critical case

General Relativity and Quantum Cosmology 2008-11-26 v2

Abstract

The vacuum decay in a de Sitter universe is studied within semiclassical approximation for the class of effective inflaton potentials whose curvature at the top is close to a critical value. By comparing the actions of the Hawking - Moss instanton and the Coleman - de Luccia instanton(s) the mode of vacuum decay is determined. The case when the fourth derivative of the effective potential at its top is less than a critical value is discussed.

Keywords

Cite

@article{arxiv.gr-qc/0504133,
  title  = {False vacuum decay with gravity in a critical case},
  author = {Michal Demetrian},
  journal= {arXiv preprint arXiv:gr-qc/0504133},
  year   = {2008}
}

Comments

10 pages, 8 figures, minor changes done

R2 v1 2026-07-22T12:42:35.626Z