• Українська
  • English

< | Next issue >

Current issue   Ukr. J. Phys. 2015, Vol. 60, N 7, p.664-674
https://doi.org/10.15407/ujpe60.07.0664   Paper

Kuzmichev V.E., Kuzmichev V.V.

Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14b, Metrolohichna Str., Kyiv 03680, Ukraine; e-mail: vkuzmichev@bitp.kiev.ua)

The Expanding Universe: Change of Regime

Section: Astrophysics and Cosmology
Language: English

Abstract: The aim of the paper is to explain, on the basis of the strict equations of quantum geometrodynamics for a cosmological model with the Robertson–Walker metric, the possible change of a regime of the expansion of the universe, from acceleration to deceleration or vice versa. We show that the change of the rate of expansion can point to the existence of a particular type of forces acting in the universe. It is indicated that these forces have the quantum nature. The cause of the expansion and a change of its regimes is a special form of the effective potential well, in which the universe is moving as a whole.

Key words: dark energy, dark matter, quantum geometrodynamics, cosmology.

References:

  1. C. Bennett et al., ApJS 208, 20 (2013) [e-print arXiv:1212.5225 [astro-ph.CO]]; G. Hinshaw et al., ApJS 208, 19 (2013) [e-print arXiv:1212.5226 [astro-ph.CO]].
  2. P.A.R. Ade et al. (Planck Collaboration), e-print arXiv:1303.5062 [astro-ph.CO].
  3. P.J.E. Peebles and B Ratra, Rev. Mod. Phys. 75, 559 (2003) [e-print arXiv:astro-ph/0207347]. CrossRef
  4. G. Bertone, Phys. Rep. 405, 279 (2005). CrossRef
  5. B. Novosyadlyj, in: Dark Energy: Observational Evidence and Theoretical Models, edited by V. Shulga (Akademperiodyka, Kyiv, 2013).
  6. P.A.M. Dirac, Proc. Roy. Soc. A 246, 333 (1958). CrossRef
  7. R. Arnowitt, S. Deser, and C.M. Misner, in: Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962) [e-print arXiv:gr-qc/0405109].
  8. V.E. Kuzmichev and V.V. Kuzmichev, Acta Phys. Pol. B 39, 979 (2008) [e-print arXiv:0712.0464 [gr-qc]]; Acta Phys. Pol. B 39, 2003 (2008) [e-print arXiv:0712.0465 [gr-qc]]; Ukr. J. Phys. 55, 626 (2010).
  9. V.E. Kuzmichev and V.V. Kuzmichev, Acta Phys. Pol. B 44, 2051 (2013) [e-print arXiv:1307.2383 [gr-qc]].
  10. C.M. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
  11. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields. Course of Theoretical Physics, Vol. 2 (Butterworth-Heinemann, Amsterdam, 1975).
  12. J.D. Brown and D. Marolf, Phys. Rev. D 53, 1835 (1996) [e-print arXiv:gr-qc/9509026]. CrossRef
  13. B.F. Schutz, Phys. Rev. D 2, 2762 (1970). CrossRef
  14. P.A.M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1964).
  15. K.V. Kucha^r and C.G. Torre, Phys. Rev. D 43, 419 (1991). CrossRef
  16. J.B. Hartle and S.W. Hawking, Phys. Rev. D 28, 2960 (1983). CrossRef
  17. R.R. Caldwell, R. Dave, and P.J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998); CrossRef J.P. Ostriker and P.J. Steinhardt, Nature 377, 600 (1995); CrossRef M.S. Turner, G. Steigman, and L. Krauss, Phys. Rev. Lett. 52, 2090 (1984). CrossRef
  18. R.R. Caldwell, Phys. Lett. B 545, 23 (2002); CrossRef R.R. Caldwell, M. Kamionkowski, and N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003), e-print arXiv:astro-ph/0302506.
  19. V.E. Kuzmichev and V.V. Kuzmichev, Acta Phys. Pol. B 40, 2877 (2009), e-print arXiv:0905.4142 [gr-qc].
  20. K.A. Olive et al. (Particle Data Group), Chin. Phys. C 38, 090001 (2014). CrossRef
  21. J.W. Moffat, Phys. Lett. B 491, 345 (2000) [e-print arXiv: hep-th/0007181]. CrossRef
  22. A.H. Chamseddine, e-print arXiv: hep-th/0610099.
  23. V.E. Kuzmichev and V.V. Kuzmichev, e-print arXiv:1406.1297 [gr-qc].
  24. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).