Stability of self-consistent higher-dimensional cosmological solutions

Journal Article · Tue Oct 15 00:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.32.1921· OSTI ID:5174322

Copeland, E J; Toms, D J

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.

• Research Organization: Department of Theoretical Physics, University of Newcastle upon Tyne, Newcastle upon Tyne NE1 7RU England
• OSTI ID: 5174322
• Journal Information: Phys. Rev. D; (United States), Vol. 32:8
• Country of Publication: United States
• Language: English

Related Subjects

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