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Numerical investigation of multidimensional cosmological models based on the Weyl integrable geometry

  • Elementary-Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

The dynamics of multidimensional cosmological models based on the Weyl integrable geometry are investigated by means of numerical methods. Models are considered in space and in the presence of matter, the latter modeled by an ideal liquid and a nonminimal scalar field. Sufficient conditions are obtained under which cosmological singularity is absent and the scenario of dynamic dimensional reduction is realized.

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References

  1. Yu. S. Vladimirov, Dimension of Physical Space and Unification of Interactions [in Russian], Iad-vo MGU, Moscow (1987).

    Google Scholar 

  2. E. W. Kolb, “Gravitation, gauge theory and early Universe,” Proc. NATO Adv. Study Inst., Erice, May 20–30, 1986, Dordrecht (1988), p. 225.

  3. J. Samuel, Proc. NATO Adv. Study Inst., Erice, May 20–30, 1986, Dordrecht (1988), pp. 449–465.

  4. V. D. Ivashchuk and V. N. Mel'nikov, Nuovo Cim.,102, No. 2, 13 (1988).

    Google Scholar 

  5. K. A. Bronnikov, V. D. Ivashchuk, and V. N. Mel'nikov, Nuovo Cim.,102, No. 2, 209 (1988).

    Google Scholar 

  6. M. Novello, L. A. Oliveira, J. M. Salim, and E. Elbas, Int. J. Mod. Phys. D,1, No. 3&4, 641 (1993).

    Google Scholar 

  7. A. Macias, O. Obregon, and G. J. Fuentes y Martinez, Rev. Mex. Fiz.,39, suppl. 1, S64 (1993).

  8. K. P. Stanyukovich and V. N. Mel'nikov, Hydrodynamics, Fields, and Constants in Theory of Gravitation [in Russian], Energoatomizdat, Moscow (1983).

    Google Scholar 

  9. V. N. Mel'nikov, Classical Field Theory and Theory of Gravitation [in Russian], No. 1, 49, VINITI (Itogi Nauki i Tekhniki), Moscow (1991), p. 49.

    Google Scholar 

  10. V. N. Melnikov [Mel'nikov], “Multidimensional Classical and Quantum Cosmology and Gravitation: Exact Solutions and Variations of Constants, Preprint CBPF-051/93.

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Authors
  1. M. Yu. Konstantinov
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  2. V. N. Mel'nikov
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Additional information

Scientific Research Center of PV. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 107–113, May, 1995.

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Konstantinov, M.Y., Mel'nikov, V.N. Numerical investigation of multidimensional cosmological models based on the Weyl integrable geometry. Russ Phys J 38, 533–538 (1995). https://doi.org/10.1007/BF00559312

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  • DOI: https://doi.org/10.1007/BF00559312

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