Perdurance of higher-dimensional de Sitter space

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

DOI:https://doi.org/10.1103/PhysRevD.36.3651· OSTI ID:5597917

Gonzalez-Diaz, P F

We investigate the classical and semiclassical stability of higher-dimensional de Sitter spaces. The Lifshitz-Khalatnikov perturbative formalism is extended to an arbitrarily higher-dimensional closed Robertson-Walker universe. It is shown that, quite independently of the number of spacetime dimensions, higher-dimensional de Sitter spaces are classically stable to the generalized cosmological perturbations. Some discussion is added that shows that, in the realm of the Euclidean formulation of quantum gravity, these spaces exhibit a semiclassical instability.

• Research Organization: Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, England
• OSTI ID: 5597917
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FIELD EQUATIONS
FIELD THEORIES
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
METRICS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RIEMANN SPACE
SEMICLASSICAL APPROXIMATION
SPACE
SPACE-TIME
TENSORS
UNIVERSE
VACUUM STATES