2000/01/31 by A. Khvedelidze, Arsen Khvedelidze, George Lavrelashvili +1 · 3 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #False vacuum #Friedmann equations #Friedmann–Lemaître–Robertson–Walker metric #Kinetic term #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.62.083501
published as Phys.Rev. D62 (2000) 083501 · 4 p., Revtex. No changes in the text. Accepted for publication in Phys. Rev. D
arxiv created 2000/08/23 · openalex publication_date 2000/09/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 the so-called negative mode problem in the 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.''