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Title: Stability of self-consistent higher-dimensional cosmological solutions

Abstract

The problem of self-consistent solutions in higher-dimensional spacetimes is considered. The importance of quantum effects in this analysis is emphasized. It is shown how the one-loop effective action for conformally invariant matter fields on a time-dependent Kaluza-Klein background may be obtained from previously known results on static backgrounds. The field equations are obtained and solved for self-consistent solutions in cases for which the four-dimensional part of the space is a Friedmann-Robertson-Walker space. Stability of the solutions to small perturbations is studied. All solutions, including the product of flat four-dimensional space with a sphere, are shown to be unstable.

Authors:
;
Publication Date:
Research Org.:
Department of Theoretical Physics, University of Newcastle upon Tyne, Newcastle upon Tyne NE1 7RU England
OSTI Identifier:
5174322
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D; (United States)
Additional Journal Information:
Journal Volume: 32:8
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMOLOGICAL MODELS; KALUZA-KLEIN THEORY; SPACE-TIME; QUANTUM GRAVITY; SYMMETRY GROUPS; TENSORS; UNIFIED GAUGE MODELS; FIELD THEORIES; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; UNIFIED-FIELD THEORIES; 640106* - Astrophysics & Cosmology- Cosmology; 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation

Citation Formats

Copeland, E J, and Toms, D J. Stability of self-consistent higher-dimensional cosmological solutions. United States: N. p., 1985. Web. doi:10.1103/PhysRevD.32.1921.
Copeland, E J, & Toms, D J. Stability of self-consistent higher-dimensional cosmological solutions. United States. https://doi.org/10.1103/PhysRevD.32.1921
Copeland, E J, and Toms, D J. 1985. "Stability of self-consistent higher-dimensional cosmological solutions". United States. https://doi.org/10.1103/PhysRevD.32.1921.
@article{osti_5174322,
title = {Stability of self-consistent higher-dimensional cosmological solutions},
author = {Copeland, E J and Toms, D J},
abstractNote = {The problem of self-consistent solutions in higher-dimensional spacetimes is considered. The importance of quantum effects in this analysis is emphasized. It is shown how the one-loop effective action for conformally invariant matter fields on a time-dependent Kaluza-Klein background may be obtained from previously known results on static backgrounds. The field equations are obtained and solved for self-consistent solutions in cases for which the four-dimensional part of the space is a Friedmann-Robertson-Walker space. Stability of the solutions to small perturbations is studied. All solutions, including the product of flat four-dimensional space with a sphere, are shown to be unstable.},
doi = {10.1103/PhysRevD.32.1921},
url = {https://www.osti.gov/biblio/5174322}, journal = {Phys. Rev. D; (United States)},
number = ,
volume = 32:8,
place = {United States},
year = {Tue Oct 15 00:00:00 EDT 1985},
month = {Tue Oct 15 00:00:00 EDT 1985}
}