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Geometrized dynamics of multidimensional cosmological models

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Abstract

In the present work we reduce the dynamics of multidimensional cosmological models to the geodesics on a pseudo-Riemannian space. The significance of Killing vectors and tensors for the integrability problem is discussed. We also investigate geometric properties of the geodesics representing the evolution of cosmological models.

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References

  • Cerruti, A. (1907). Colloquium Mathematician in Memorium, D. Chellini, P. Grossi,Palermo Rendiconti,XXIV, 25.

    Google Scholar 

  • Dolan, P. (1984).Classical General Relativity, Cambridge University Press, Cambridge.

    Google Scholar 

  • Dolan, P., Kladouchou, A., and Card, C. (1989).General Relativity and Gravitation,21, 427.

    Google Scholar 

  • Geroch, R. P. (1970).Journal of Mathematical Physics,11, 1955.

    Google Scholar 

  • Levine, J. (1936).Bulletin of the American Mathematical Society,42, 418.

    Google Scholar 

  • Levine, J. (1939).Bulletin of the American Mathematical Society,45, 766.

    Google Scholar 

  • Levy, M. (1878).Comptes Rendus,LXXXVI.

  • Mishchenko, A. S., Solovyev, Yu. P., and Fomenko, A. T. (1985).Problems in Differential Geometry and Topology, Mir, Moscow.

    Google Scholar 

  • Sommers, P. (1973).Journal of Mathematical Physics,14, 787.

    Google Scholar 

  • Synge, J. L. (1926).Philosophical Transactions A,226, 31.

    Google Scholar 

  • Szydlowski, M., and Lapeta, A. (1989).General Relativity and Gravitation,21, 349.

    Google Scholar 

  • Szydlowski, M., Heller, M., and Lapeta, B. (1993).Physical Review D,47, 2.

    Google Scholar 

  • Whittaker, E. T. (1952).A Treatise on the Analytical Dynamics of Particles and Rigid Bodies with Introduction to the Problem of Three Bodies, Cambridge University Press, Cambridge, p. 377.

    Google Scholar 

  • Xanthopoulos, B. C. (1984).Physics Letters A,105, 334.

    Google Scholar 

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Authors and Affiliations

  1. Astronomical Observatory of Jagiellonian University, ul. Orla 171, 30-244, Krakow, Poland

    Marek Szydłowski

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  1. Marek Szydłowski
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Szydłowski, M. Geometrized dynamics of multidimensional cosmological models. Int J Theor Phys 33, 715–734 (1994). https://doi.org/10.1007/BF00670526

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  • DOI: https://doi.org/10.1007/BF00670526

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