Quantum effects in homogeneous multidimensional cosmologies

Journal Article · Thu Dec 15 00:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.3625· OSTI ID:6575486

Szydlowski, M; Szczesny, J

In the present paper we determine quantum distribution functions for a wide class of multidimensional cosmological models. The exact formulas for quantum distribution functions are given and their universal character at high and low temperatures shown. The obtained formulas provide us with the possibility to investigate the metric back reaction and to discuss the dimensional reduction problem. The assumption of the low-temperature approximation gives us the possibility to discuss the dynamics by using the methods of dynamical systems. Stable solutions, within the class FRW x S/sup 3/ x S/sup 3/ models, where FRW denotes Friedmann, Robertson and Walker, are discussed, and it is shown that only a zero-measure set of trajectories in the phase space leads to a solution with a static microspace. This analysis shows that, insofar as quantum effects lead to solutions with a static microspace, these solutions are unstable.

• Research Organization: Astronomical Observatory, Jagellonian University, Orla 171, Cracow, Poland
• OSTI ID: 6575486
• Journal Information: Phys. Rev. D; (United States), Vol. 38:12
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
QUANTUM FIELD THEORY
DISTRIBUTION FUNCTIONS
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
METRICS
PHASE SPACE
SPACE-TIME
STRING MODELS
SUPERSYMMETRY
THERMODYNAMIC PROPERTIES
UNIVERSE
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PHYSICAL PROPERTIES
QUARK MODEL
SPACE
SYMMETRY
UNIFIED-FIELD THEORIES
640106* - Astrophysics & Cosmology- Cosmology
645400 - High Energy Physics- Field Theory