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ID: 402991.0, MPI für Gravitationsphysik / Observational Relativity and Cosmology
Euclidean Schwarzschild negative mode
Authors:Allen, Bruce
Date of Publication (YYYY-MM-DD):1984-05-18
Title of Journal:Physical Review D
Volume:30
Issue / Number:6
Start Page:1153
End Page:1157
Review Status:not specified
Audience:Not Specified
Abstract / Description:The Euclidean (imaginary time) Schwarzschild solution of general relativity is known to possess a spin-2 metric perturbation which decreases its Euclidean action. This "negative mode" contributes an imaginary part to the effective action, and renders hot flat space unstable against the nucleation of black holes. In this paper, we enclose the black hole in a spherical "box" by imposing boundary conditions on the perturbations. Two conditions, which correspond to a fixed temperature (isothermal wall) and fixed energy (reflecting wall) are examined. The isothermal boundary condition eliminates the negative mode if the box is small enough, and stabilizes hot flat space.
External Publication Status:published
Document Type:Article
Communicated by:Bruce Allen
Affiliations:MPI für Gravitationsphysik/Teilinstitut Hannover
MPI für Gravitationsphysik/Observational Relativity and Cosmology
External Affiliations:Department of Physics, University of California, Santa Barbara, California 93106
Identifiers:ISSN:0556-2821
DOI:10.1103/PhysRevD.30.1153
URL:http://link.aps.org/doi/10.1103/PhysRevD.30.1153
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