Global properties of Kaluza-Klein cosmologies

Journal Article · Tue Sep 15 04:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.1634· OSTI ID:6268696

Wiltshire, D L

The qualitative theory of dynamical systems is used to present an analysis of the phase space of Kaluza-Klein cosmological solutions with even-dimensional internal space, an arbitrary cosmological constant, and Freund-Rubin compactification. If either the physical or internal manifold has a single spatial dimension the cosmological solutions may correspond to black-hole interiors and pathological behavior can be expected. It is shown that such behavior does not occur in general, however. Some solutions with dilatons are also discussed.

• Research Organization: Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, England
• OSTI ID: 6268696
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
KALUZA-KLEIN THEORY
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PHASE SPACE
RICCI TENSOR
SPACE
SPACE-TIME
TENSORS
UNIFIED-FIELD THEORIES
VACUUM STATES