Quantum effects in homogeneous multidimensional cosmologies

Szydlowski, M; Szczesny, J

doi:10.1103/PhysRevD.38.3625

Title: Quantum effects in homogeneous multidimensional cosmologies

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Abstract

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.

Authors:: Szydlowski, M; Szczesny, J

Publication Date:: Thu Dec 15 00:00:00 EST 1988

Research Org.:: Astronomical Observatory, Jagellonian University, Orla 171, Cracow, Poland

OSTI Identifier:: 6575486

Resource Type:: Journal Article

Journal Name:: Phys. Rev. D; (United States)

Additional Journal Information:: Journal Volume: 38:12

Country of Publication:: United States

Language:: English

Subject:: 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

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                    Szydlowski, M, and Szczesny, J. Quantum effects in homogeneous multidimensional cosmologies.  United States: N. p., 1988. 
        Web.  doi:10.1103/PhysRevD.38.3625.

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                    Szydlowski, M, & Szczesny, J. Quantum effects in homogeneous multidimensional cosmologies.  United States.  https://doi.org/10.1103/PhysRevD.38.3625

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                    Szydlowski, M, and Szczesny, J. 1988.  
        "Quantum effects in homogeneous multidimensional cosmologies".  United States.  https://doi.org/10.1103/PhysRevD.38.3625.

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@article{osti_6575486,

  title        = {Quantum effects in homogeneous multidimensional cosmologies},

  author       = {Szydlowski, M and Szczesny, J},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevD.38.3625},

  url          = {https://www.osti.gov/biblio/6575486},
  journal      = {Phys. Rev. D; (United States)},
number       = ,

  volume       = 38:12,

  place        = {United States},

  year         = {Thu Dec 15 00:00:00 EST 1988},

  month        = {Thu Dec 15 00:00:00 EST 1988}

}

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